The DOI matches its Crossref record; 149 of the 149 references it cites were found in a registry or an index; 6 of the 93 sources its claims cite were checked for support.
THE STORIES OF LOGIC AND INFORMATION
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TL;DR
This chapter argues that logic can be read as a theory of information through three major accounts: information as range, as correlation, and as code. It shows how these accounts differ, how they involve statics and dynamics, and how some can be merged without requiring a single grand unification.
Key findings
- Logic contains three major accounts of information: semantic range (epistemic/doxastic logic), correlation (situation theory and channel theory), and code (proof theory, inference, computation).
- Information is best understood together with dynamic processes: the restaurant example starts with 4 options, cuts to 3 after learning \(A \lor B\), and to 1 after learning \(\neg A\); the party example starts with 8 possible invitee sets, rules out 3 by constraint (a), 2 more by (b), and reaches the single solution \(\{John, Mary\}\) by (c).
- Range and correlation can be merged in modal/epistemic constraint models, and semantic and proof-theoretic views can be combined, but the chapter reports no consensus on a precise integration.
- The authors reject a full “Grand Unification” of all logical notions of information, doubting whether one unified notion is desirable or necessary.
Methods
- Conceptual and comparative survey of logical paradigms, not an empirical study; no data or sample are reported.
- The chapter analyzes formal systems and examples, including epistemic logic, dynamic epistemic logic, situation theory, channel theory, proof theory, and logics of dependence.
- Main analysis is philosophical and technical synthesis: it compares the three accounts, proposes merged systems, and identifies open problems.
Limitations
- The paper states that it provides “no full-fledged grand unification” and that the authors doubt whether one unified notion of information is desirable or exists.
- It states that there is no consensus on the precise integration of inferential and semantic views of information, and that situation theory has not yet generated canonical calculi of reasoning with the sweep of epistemic logic.
- It states that whether calculi based on local constraints can fully formalize “legitimate inference” remains an open question; evident from the text, the chapter is a selective survey rather than an exhaustive treatment, and its examples are illustrative rather than empirical tests.
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Claims the paper makes
6 of 93 cited sources checked · 4 supported · 0 flagged · accuracy not yet measured
- Premisecitation§ 3.3 Other attitudes: doxastic and conditional logic · p. 15
Conditional belief on reflexive transitive plausibility models satisfies exactly the principles of the minimal conditional logic.
“The analogy is so close that conditional belief on reflexive transitive plausibility models satisfies exactly the principles of the minimal conditional logic (Burgess 1981, Veltman 1985).”
Quote in the paperNot a substantial claim1 of 2 sources checked- cites Burgess 1981 source
- cites Veltman 1985
- Premisecitation§ 3.4 Agents: powers, attitudes, and collective information · p. 16
Existing epistemic logics differ on what they ascribe to agents in terms of deductive powers, introspective abilities, observational powers, and memory capacity.
“Existing epistemic logics differ on what they ascribe to agents (van Benthem & Liu 2004, Liu 2006) in terms of deductive powers, introspective abilities, observational powers, and memory capacity.”
Quote in the paperNot a substantial claim1 of 2 sources checked- cites van Benthem & Liu 2004 source
Section 4, “Update logic for bounded agents” (page unavailable), distinguishes agents by their powers of observation and memory, supporting those two parts of the claim. The passages found do not establish that the logics differ in the deductive powers or introspective abilities they ascribe to agents. (LLM, conf=0.85)
Experimental — accuracy not yet measured - cites Liu 2006
- Premisecitation§ Structure should always come in tandem with a process! · p. 21
In general dynamic-epistemic logics, event models describe complex scenarios where not all agents have the same observational access to what is happening.
“In general dynamic-epistemic logics (Baltag, Moss & Solecki 1998, Gerbrandy 1999, van Benthem, van Eijck & Kooi 2006, van Ditmarsch, van der Hoek & Kooi 2007), so-called event models A describe complex scenarios where not all agents have the same observational access to what is happening.”
Quote in the paperNot a substantial claim1 of 3 sources checked- cites Baltag, Moss & Solecki 1998
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Gerbrandy 1999
- cites van Benthem, van Eijck & Kooi 2006 source
- Findingreasoning§ Structure should always come in tandem with a process! · p. 20
Truth values of epistemic formulas may change in a public announcement update step: typically, agents who did not know that P now do after the announcement.
“Crucially, truth values of epistemic formulas may change in such an update step: typically, agents who did not know that P now do after the announcement.”
Quote in the paperSubstantial claim - Findingreasoning§ 6.4 Combining epistemic logic and constraint logic · p. 46
In a combined epistemic constraint model, if the model satisfies constraint s1:p→s2:q and the agent knows s1:p, then the agent knows s2:q, by the Distribution law.
“E.g., suppose that our model M satisfies the constraint s 1 : p Æ s 2 : q . Then the agent knows this, as the implication is true in all worlds in M . Now suppose the agent knows that s 1 : p . In that case, the agent also knows that s 2 : q , by the Distribution law of epistemic logic:”
Quote in the paperSubstantial claim
- Findingreasoning§ 6.4 Combining epistemic logic and constraint logic · p. 47
The dynamic-epistemic formula for learning s1:p and then knowing s2:q is equivalent to the truth of the constraint, by the axioms for dynamic-epistemic logic.
“This formula is equivalent to the truth of the constraint - by the axioms for dynamic-epistemic logic (cf. Section 4).”
Quote in the paperSubstantial claim - Premisecitation§ 2 Information in Logic · p. 6
Logic has pragmatic perspectives beyond syntactic and semantic ones.
“logic also has pragmatic perspectives beyond syntactic and semantic ones.”
Quote in the paperSubstantial claim - Premisenone given§ 3.4 Agents: powers, attitudes, and collective information · p. 16
Assignments of powers to agents are reflected in correspondences between such powers and axioms of the logic.
“Such assignments are reflected in correspondences between such powers of agents and axioms of the logic.”
Quote in the paperSubstantial claim - Interpretationnone given§ 2 Information in Logic · p. 6
Given suitable information channels between situations, observations about one may give reliable information concerning another.
“Given suitable information channels between situations, observations about one may give reliable information concerning another.”
Quote in the paperSubstantial claim - Interpretationreasoning§ T Õ T' iff MOD(T) ⊇ MOD(T') · p. 8
Information as range provides only rough counterparts to information as sets of sentences, since MOD(T) = MOD(T') for logically equivalent sets of assertions T, T', even when these are vastly different syntactically.
“information as range provides only rough counterparts to information as sets of sentences, since MOD(T) = MOD(T') for logically equivalent sets of assertions T, T', even when these are vastly different syntactically.”
Quote in the paperSubstantial claim - Premisereasoning§ Structure should always come in tandem with a process! · p. 20
Public announcements !P eliminate all worlds incompatible with P, thereby zooming in on the actual situation.
“They eliminate all worlds incompatible with P , thereby zooming in on the actual situation.”
Quote in the paperSubstantial claim - Premisecitation§ 5 Information as Correlation: the world of Situation Theory · p. 25
Dretske's theory of information flow provided key ideas about the basic informational notion to study.
“But it is Dretske's theory of information flow (Dretske 1981) that conspicuously provided key ideas about the basic informational notion to study.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Dretske 1981
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation§ Structure should always come in tandem with a process! · p. 21
Knowledge action interchanges presuppose abilities of agents such as Perfect Recall.
“Knowledge action interchanges presuppose abilities of agents such as Perfect Recall (Halpern & Vardi 1989, van Benthem 2001).”
Quote in the paperNot a substantial claim0 of 2 sources checked - Premisecitation§ Structure should always come in tandem with a process! · p. 22
The dynamic process perspective on information change also applies to the doxastic attitude of our beliefs, and how to revise these on the basis of incoming information.
“The dynamic process perspective on information change explained here also applies to the doxastic attitude of our beliefs , and how to revise these on the basis of incoming information (Gärdenfors 1987).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Gärdenfors 1987
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ Structure should always come in tandem with a process! · p. 21
Taken together, these principles allow for compositional analysis of what agents know after new hard information has come in.
“Taken together, these principles allow for compositional analysis of what agents know after new hard information has come in.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 'to the best of i's information' for Ki f · p. 14
Epistemic logic can be used to describe both information update and inference, making it serve the broader purposes of logic as a theory of different kinds of information.
“Altogether then, epistemic logic can be used to describe both information update and inference, making it serve the broader purposes of logic as a theory of different kinds of information advocated in Section 2.”
Quote in the paperSubstantial claim - Premisenone given§ Structure should always come in tandem with a process! · p. 20
The complete calculus of information flow under public announcement has the usual laws of epistemic logic over one's chosen base models plus reduction axioms.
“As all this is less known than standard epistemic logic, we state the principles of the complete calculus of information flow under public announcement. It has the usual laws of epistemic logic over one's chosen base models (as discussed earlier) plus, crucially, the following reduction axioms :”
Quote in the paperSubstantial claim - Premisecitation§ Structure should always come in tandem with a process! · p. 23
Belief changes under such policies can again be axiomatized completely.
“Belief changes under such policies can again be axiomatized completely (cf. again van Benthem 2007A).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites van Benthem 2007A
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisereasoning§ 5 Information as Correlation: the world of Situation Theory · p. 24
Situation theory provides an account of important context effects that are part of everyday inference and natural language.
“In addition, the theory provides an account of important context effects that are part of everyday inference and natural language.”
Quote in the paperNot a substantial claim - Premisereasoning§ Structure should always come in tandem with a process! · p. 22
Belief revision involves changes, not in the range of available worlds or in their epistemic accessibility patterns, but rather in the earlier plausibility orderings among worlds.
“This involves changes, not in the range of available worlds or in their epistemic accessibility patterns, but rather in the earlier plausibility orderings x ≤ i, s y among worlds.”
Quote in the paperSubstantial claim - Premisenone given§ 2 Information in Logic · p. 5
Flow of information in situation theory rests on the fact that we often learn about some situation not directly accessible via information about that situation.
“Here, flow of information is not seen primarily as driven by events of observation or communication between agents. It rather rests on the fact that we often learn about some situation that is not directly accessible to us via information at our disposal which is about that situation.”
Quote in the paperSubstantial claim - Premisereasoning§ 5 Information as Correlation: the world of Situation Theory · p. 24
Situation theory yields a natural treatment of the problem of grain: different false claims about the world are represented by different mathematical objects.
“Among other things, this yields a natural treatment of 'the problem of grain': different false claims about the world are represented by different mathematical objects.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 3.4 Agents: powers, attitudes, and collective information · p. 16
To see what information is available, one must take the informational nature of the agents into account.
“Put as a general principle, t o see what information is available, one must take the informational nature of the agents into account.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 3.4 Agents: powers, attitudes, and collective information · p. 16
There is an unavoidable interplay between the information in a situation per se and the powers of the agents having access to it.
“Our account of 'knowledge' as 'to the best of an agent's information' really shows that there is an unavoidable interplay between two notions which needs to be made explicit: (a) the information in a situation per se, and (b) the powers of the agents having access to it.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 2 Information in Logic · p. 6
Logical inference can cross between situations.
“logical inference can also cross between situations.”
Quote in the paperSubstantial claim - Premisecitation§ Structure should always come in tandem with a process! · p. 21
The commutativity between the dynamic operator [!P] and the epistemic Ki is not obvious, as shown by possible failures in general logics of knowledge and action.
“This commutativity is not obvious, witness its possible failures in general logics of knowledge and action (Moore 1985).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Moore 1985
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation§ 'to the best of i's information' for Ki f · p. 12
Two information models (M, s) and (N, t) satisfy the same epistemic formulas iff there exists a bisimulation between M and N connecting world s to world t.
“Two information models ( M , s) and ( N , t) satisfy the same epistemic formulas 8 iff there exists a bisimulation between M and N connecting world s to world t .”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites van Benthem 1996
- cites van Benthem & Blackburn 2006
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 24
Situation theory goes beyond possible-worlds models by providing richer structure.
“As a formal tool originally devised for modeling this view of meaning and associated phenomena, situation theory goes beyond possible-worlds models by providing richer structure.”
Quote in the paperSubstantial claim - Premisenone given§ 3.4 Agents: powers, attitudes, and collective information · p. 16
There is a link between commutation laws for communication and memory assumptions of perfect recall.
“between commutation laws for communication (cf. Section 5) and memory assumptions of perfect recall”
Quote in the paperNot a substantial claim - Interpretationreasoning§ Structure should always come in tandem with a process! · p. 24
Interaction between agents, and even irreducible group action and group knowledge, become crucial to a logical understanding of information flow.
“Thus interaction between agents, and even irreducible group action and group knowledge, become crucial to a logical understanding of information flow.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 5.2 Information flow · p. 31
To guide a vet's action appropriately, it is not enough to be acquainted with the x-ray's being j-ish and aware of the relevant constraint; she must also know that the information the x-ray carries is about Gretchen (incremental information).
“But to guide a vet's action appropriately, it is not enough for her to be acquainted with the fact that the x -ray's is j -ish and to be aware of the relevant constraint. She must also know that the information the x -ray carries is about Gretchen”
Quote in the paperSubstantial claim - Interpretationreasoning§ 5.1 Basic concepts of situation theory · p. 29
The existence of regularities or lawlike constraints between types of situations makes it possible for one situation to carry information about another.
“it is the existence of those regularities that makes it possible for one situation to carry information about another.”
- Also stated in: § 5.4 Classifications and channel theory · p. 34 · plain
“it is the existence of constraints, in the form of regularities between types that makes information flow within a distributed system.”
Quote in the paperSubstantial claim- Rests on an assumption: Reality is full of regularities, lawlike constraints between types of situations.
- Also stated in: § 5.4 Classifications and channel theory · p. 34 · plain
- Interpretationreasoning§ 5.4 Classifications and channel theory · p. 35
'Carrying information' is not an absolute property: the mere fact that a token or situation is of a certain type does not completely determine what information it carries.
“Again we see that 'carrying information' is not an absolute property: the mere fact that a token or situation is of a certain type does not completely determine what information it carries.”
Quote in the paperSubstantial claim - Interpretationcitation§ 6 Merging Range and Constraint Views · p. 41
The difference that situation theory is 'realist' and non-modal evaporates once one tries to give a situation-theoretic account of belief and being wrong.
“But this difference, too, evaporates, once one tries to give a situation-theoretic account of belief and being wrong (cf. Kratzer 2006).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Kratzer 2006
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ 6.1 Correlation through gaps in state spaces · p. 41
Genuine constraints only arise in situations with different 'states' that can be correlated.
“Genuine constraints only arise in situations with different 'states' that can be correlated.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 6.1 Correlation through gaps in state spaces · p. 42
A significant constraint on the total system arises only when we leave out some possible configurations.
“A significant constraint on the total system arises only when we leave out some possible configurations.”
Quote in the paperSubstantial claim - Premisecitation§ 6.3 Digression: constraint logic and logic of dependence · p. 45
The complete logic of general assignment models contains those valid first-order laws that hold even when variables may be correlated.
“It contains those valid first-order laws which hold even when variables may be correlated (Németi 1995, van Benthem 1996, 2005A).”
Quote in the paperSubstantial claim0 of 3 sources checked- cites Németi 1995
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites van Benthem 1996
- cites 2005A
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisenone given§ 5.6 Some further developments · p. 39
The Axiom of Foundation bans the existence of chains of sets of the form u Œ u 1 Œ o Œ u.
“This is because the Axiom of Foundation bans the existence of chains of sets of the form u Œ u 1 Œ º Œ u .”
Quote in the paperSubstantial claim - Premisecitation§ 6.3 Digression: constraint logic and logic of dependence · p. 45
The complete logic of general assignment models is a decidable subsystem of standard predicate logic.
“The complete logic of general assignment models is a decidable subsystem of standard predicate logic.”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Németi 1995
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites van Benthem 1996
- cites 2005A
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation§ 6 Merging Range and Constraint Views · p. 41
In Barwise & Moss 1996, modal logic has become the vehicle for developing a bisimulation-based situation theory.
“in the definitive mathematical framework of Barwise & Moss 1996, modal logic has become the vehicle for developing a bisimulation-based situation theory!”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Barwise & Moss 1996
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationnone given§ 5.4 Classifications and channel theory · p. 37
Simple 'localization' of the usual rules does not allow for inferences where knowledge about one part of the system drives inferences about another.
“But simple 'localization' of the usual rules does not allow for inferences where knowledge about one part of the system drives inferences about another.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 7.1 Information as code and elucidation · p. 50
This allows for more variation in what counts as information states than our earlier semantic models.
“This allows for more variation in what counts as information states than our earlier semantic models.”
Quote in the paperNot a substantial claim - Premisenone given§ 6.2 Modal logics of constraints and correlation · p. 44
Constraint models satisfy persistence properties for atomic facts.
“As to valid laws, constraint models satisfy persistence properties for atomic facts:”
Quote in the paperSubstantial claim - Interpretationreasoning§ 6.1 Correlation through gaps in state spaces · p. 42
Correlation between different situations amounts to restrictions on the total state space of possible simultaneous behaviors.
“Thus, correlation between different situations amounts to restrictions on the total state space of possible simultaneous behaviors.”
Quote in the paperSubstantial claim - Premisereasoning§ 6 Merging Range and Constraint Views · p. 41
The more striking historical development has been the steady discovery of significant analogies between situation theory and modal logic.
“Indeed, the more striking historical development has been the steady discovery of significant analogies between situation theory and modal logic.”
Quote in the paperNot a substantial claim - Interpretationnone given§ 6.2 Modal logics of constraints and correlation · p. 43
The resulting logic is classical propositional logic plus the modal logic S5 for the universal modality U.
“The resulting logic is classical propositional logic plus the modal logic S5 for the universal modality U .”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 5.6 Some further developments · p. 39
The same set may be represented by different, but bisimilar labeled graphs.
“In fact, the same set may be represented by different, but bisimilar labeled graphs.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 6.5 Explicit dynamics: events, information change, and correlation · p. 48
Many situation-theoretic scenarios may be viewed as specifying automata consisting of many parts that undergo correlated changes through actions or events.
“Many situation-theoretic scenarios may be viewed as specifying automata consisting of many parts which can undergo correlated changes, through actions or events e .”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 5.4 Classifications and channel theory · p. 36
If a |= A T carries the information that b |= B T' (relative to C1) and b |= B T' carries the information that d |= D T'' (relative to C2), then a |= A T carries the information that d |= D T'' relative to the channel with core C and infomorphisms i 1 f: A Æ C and i 2 g: D Æ C.
“Within this setting, if a |= A T carries the information that b |= B T' (relative to C1 ) and b |= B T' carries the information that d |= D T'' (relative to C2 ), then a |= A T carries the information that d |= D T'' relative to the channel with core C and infomorphisms i 1 f: A Æ C and i 2 g: D Æ C.”
Quote in the paperSubstantial claim - Premisereasoning§ 5.6 Some further developments · p. 39
The study of circularity and its applications has been an important contribution of situation theory.
“Indeed, the study of circularity and its applications has been an important contribution of situation theory.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 6.3 Digression: constraint logic and logic of dependence · p. 45
The embedding of constraint logic into dependence logic shows a move toward a logic of information and constraints in the situation-theoretic sense.
“We have shown this is also a move toward a logic of information and constraints in the situation-theoretic sense.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 5.1 Basic concepts of situation theory · p. 29
Logically equivalent compound infons may still be different pieces of information.
“logically equivalent compound infons may still be different pieces of information.”
Quote in the paperSubstantial claim- Rests on an assumption: Information is fine grained.
- Interpretationnone given§ 5.4 Classifications and channel theory · p. 37
Adding to the rule of Weakening all obvious identity axioms plus a strong form of the classical Cut rule, one can prove an abstract completeness theorem: if we fix S and a collection of constraints on S, then the collection of theorems is precisely the theory (i.e., the set of all the constraints) of some classification.
“Adding to the rule of Weakening all obvious identity axioms plus a strong form of the classical Cut rule, one can prove an abstract completeness theorem: If we fix S and a collection of constraints on S , then the collection of theorems is precisely the theory (i. e., the set of all the constraints) of some classification.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 6.4 Combining epistemic logic and constraint logic · p. 47
A combined modal-epistemic logic brings out the interaction between the two senses of information.
“Thus, a combined modal-epistemic logic brings out the interaction between our two senses of information.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 5.6 Some further developments · p. 40
In the AFA universe, equality of elements is not enough as a criterion for deciding whether two sets are equal.
“Bisimilarity enters the picture here, because in the AFA universe, equality of elements is not enough as a criterion for deciding whether two sets are equal.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 6.6 Conclusion: semantic co-existence · p. 49
The two agendas merge naturally into one logical semantic view of information structure and dynamics.
“The two agendas merge naturally into one logical semantic view of information structure and dynamics.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 6.2 Modal logics of constraints and correlation · p. 43
Constraint models suggest a logic, in the simplest case a modal one.
“Constraint models suggest a logic - in the simplest case, a modal one.”
Quote in the paperSubstantial claim - Premisecitation§ 5.5 Harnessing information · p. 38
A more fundamental reason why agents are able to use information is structural: the architecture of the agent is geared towards doing so.
“A more fundamental (and general) reason why agents are able to use information is structural: the architecture of the agent is geared towards doing so (Israel & Perry 1991).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Israel & Perry 1991
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationcitation§ 6.3 Digression: constraint logic and logic of dependence · p. 45
Constraints and dependence are the same topic in two different guises.
“Thus, constraints and dependence are the same topic in two different guises!”
Quote in the paperSubstantial claim - Interpretationreasoning§ 6.5 Explicit dynamics: events, information change, and correlation · p. 48
The compatibility of information as correlation and information as range extends to the dynamics of both.
“But the compatibility extends to the dynamics of both.”
Quote in the paperSubstantial claim - Premisecitation§ 5.2 Information flow · p. 31
Whether the information carried by s is signal-bound or incremental depends on whether the proposition Prop is Russellian or Austinian.
“Depending on whether the proposition Prop is Russellian or Austinian, this tells us whether the information carried by s is 'signal-bound' or 'incremental' (Israel and Perry 1990).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Israel and Perry 1990
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationnone given§ 5.4 Classifications and channel theory · p. 37
Our setting validates local versions of basic inference rules.
“For a start, our setting validates local versions of basic inference rules, such as”
Quote in the paperSubstantial claim - Premisereasoning§ 6.4 Combining epistemic logic and constraint logic · p. 46
In the case of one single agent, the earlier universal U serves as an epistemic K.
“In the case of one single agent, the earlier universal U then serves as an epistemic K .”
Quote in the paperNot a substantial claim - Premisecitation§ 6.3 Digression: constraint logic and logic of dependence · p. 44
Genuine dependence between variables can be modeled in a first-order setting using general assignment models.
“Such cases of genuine dependence can be modeled in a first-order setting (van Benthem 1996, Chapters 9, 10).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites van Benthem 1996, Chapters 9, 10
- Interpretationreasoning§ 6.6 Conclusion: semantic co-existence · p. 49
The two can be merged in a modal setting, implementing the schema in Section 1, where systems change over time, adapting their connections to agents who are informed about them, and to the reality they are about.
“The two can be merged in a modal setting, implementing the schema in Section 1, where systems change over time, adapting their connections to agents who are informed about them, and to the reality they are about.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 5.6 Some further developments · p. 39
A theory of sets without Foundation would fit situation theory better.
“Thus, a theory of sets without Foundation would fit situation theory better.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 5.1 Basic concepts of situation theory · p. 27
Situations are partial.
“The third thesis says that situations are partial.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 5.4 Classifications and channel theory · p. 37
To achieve inferences where knowledge about one part of the system drives inferences about another, we need rules for shifting classifications and conditions.
“To achieve that, we need rules for shifting classifications (changing from |A to |B ) and conditions (from S to another S' ).”
Quote in the paperSubstantial claim - Interpretationreasoning§ 6.5 Explicit dynamics: events, information change, and correlation · p. 48
The constraint models of this section have a dynamic aspect in the first place, because constraints relate different situations and the most useful correlations involve events over time leading to different global states.
“Indeed, the constraint models of this section have a dynamic aspect in the first place. Constraints relate different situations, and the most useful correlations (think of the ground station and the mountain top) involve events over time , leading to different global states of some evolving system.”
Quote in the paperNot a substantial claim - Premisenone given§ 6.4 Combining epistemic logic and constraint logic · p. 46
The general logic of epistemic constraint models is a mere fusion of the logic for constraint models and a polyS5 epistemic logic of knowledge.
“The general logic of epistemic constraint models is a mere fusion of that for constraint models and a polyS5 epistemic logic of knowledge.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 6.6 Conclusion: semantic co-existence · p. 49
Information as range and as correlation are intimately related.
“Thus information as range and as correlation are intimately related.”
Quote in the paperSubstantial claim - Premisereasoning§ 6.1 Correlation through gaps in state spaces · p. 41
In a world of one-shot events, no significant information can flow.
“In a world of one-shot events, no significant information can flow.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 6.1 Correlation through gaps in state spaces · p. 42
The more 'gaps' in that state space, the more information there is in the system, to be used by potential observers.
“The more 'gaps' in that state space, the more information there is in the system, to be used by potential observers.”
Quote in the paperSubstantial claim - Premisenone given§ 6 Merging Range and Constraint Views · p. 41
In many models of epistemic logic, possible worlds are small and partial.
“In many models of epistemic logic, possible worlds are small and partial.”
Quote in the paperSubstantial claim - Premisereasoning§ 5.3 Information flow and distributed systems · p. 33
Flow of information crucially involves types and their concrete instances.
“(3) Flow of information crucially involves types and their concrete instances.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 6 Merging Range and Constraint Views · p. 41
In practice, many of the differences between epistemic logic and situation theory are minor.
“But in practice, many of these differences are minor.”
Quote in the paperSubstantial claim - Interpretationnone given§ 5.4 Classifications and channel theory · p. 36
The information an agent can get out of a situation depends on the constraints to which it is attuned.
“an agent's ability to get information from one part of a system based on what it can observe at another, depends on what constraints she is attuned to.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 6.4 Combining epistemic logic and constraint logic · p. 47
On the structured view, epistemic accessibility for agents and constraint accessibility for situations as part of the physical world become formally analogous.
“On such a view, epistemic accessibility for agents and constraint accessibility for situations as part of the relevant physical world become formally analogous.”
Quote in the paperSubstantial claim - Premisecitation§ 7.2 How can inference be informative ? · p. 51
Cognitive science tells us how in cognitive tasks, the brain continually mixes model inspection and inferential steps.
“Indeed, cognitive science tells us (Knauff 2007) how in cognitive tasks, the brain continually mixes model inspection and inferential steps.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Knauff 2007 source
- Premisecitation§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 58
Van Benthem 1991 arrives at a similar duality starting from categorial grammars for natural language.
“Van Benthem 1991 arrives at a similar duality starting from categorial grammars for natural language, which sit at the interface of parsing-as-deduction and dynamic semantics.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Van Benthem 1991
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ 7.2 How can inference be informative ? · p. 51
An inference step rather adds information in a more combinatorial sense, which may depend on the agent's coded representations and even purposes.
“It rather adds information in a more combinatorial sense, which may depend on the agent's coded representations and even purposes.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 7.4 Proofs and information dynamics · p. 53
Calculi of constructive proof can also be interpreted as models for multi-agent interaction.
“And even more dynamically, calculi of constructive proof can also be interpreted as models for multi-agent interaction.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 8.3 Merging proof and observation: two-level dynamic logics · p. 57
Putting all this into a logical system with both static and dynamic modalities, we can make combined assertions which describe the fine-structure of all these informational processes, both inferential and observational, within one setting.
“Putting all this into a logical system with both static and dynamic modalities, we can make combined assertions which describe the fine-structure of all these informational processes, both inferential and observational, within one setting.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 7.2 How can inference be informative ? · p. 51
The divide between semantical and code-based approaches to information occurs outside of logic, too.
“Thus, the divide between semantical and code-based approaches to information occurs outside of logic, too.”
Quote in the paperNot a substantial claim - Premisecitation§ 8.5 Coda: intuitionistic logic and modal information models · p. 60
Intuitionistic logic is a calculus of 'implicit knowledge'.
“Unlike epistemic logic, it is a calculus of 'implicit knowledge' (van Benthem 1993), where the very meanings of the standard logical constants are tied up with being 'known' or 'provable'.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites van Benthem 1993
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationcitation§ 7.2 How can inference be informative ? · p. 51
These successive inferential steps add relevant information.
“There is a clear sense in which these successive inferential steps add relevant information.”
Quote in the paperSubstantial claim - Interpretationreasoning§ 7.2 How can inference be informative ? · p. 50
Our earlier semantic theories of information have the problem that semantic approaches do not account for the informative nature of inference.
“Simply put, our earlier semantic theories of information have the following problem. Semantic approaches do not account for the informative nature of inference!”
Quote in the paperSubstantial claim - Premisecitation§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 58
Dunn 1991's Gaggle Theory provides an abstract framework that can be specialized to combinatory logic, lambda calculus and proof theory, and to relational algebra and dynamic logic.
“One example is the 'Gaggle Theory' of Dunn 1991, inspired by the algebraic semantics for relevant logic, which provides an abstract framework that can be specialized to combinatory logic, lambda calculus and proof theory, but on the other hand to relational algebra and dynamic logic, i.e., the modal approach to informational events.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Dunn 1991 source
- Premisecitation§ 7.4 Proofs and information dynamics · p. 52
There are natural notions of proof equivalence backing this up, for instance, through the valid identities of the lambda calculus and related abstract category-theoretic notions of equivalence.
“Moreover, there are natural notions of proof equivalence backing this up, for instance, through the valid identities of the lambda calculus and related abstract category-theoretic notions of equivalence (cf. Lambek & Scott 1994).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Lambek & Scott 1994
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation§ 8.3 Merging proof and observation: two-level dynamic logics · p. 57
Integrating inferential information flow with observational update can also be done in formats that stay close to the dynamic logic of Section 4.
“But integrating inferential information flow with observational update can also be done in formats that stay close to the dynamic logic of our Section 4.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites van Benthem 2007C
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 59
The Lambek Calculus principles hold on both dynamic and informational interpretations.
“On both interpretations, the principles of the Lambek Calculus hold (cf. van Benthem 1991 for further theory).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites van Benthem 1991
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ 9 Conclusion: Logic as Information Theory · p. 62
The epistemic-logic information theory is not just a model of information but also a calculus for computing information flow, as shown by concrete procedures for model update and axiomatic dynamic-epistemic laws.
“Like classical information theories, this is not just a model of information, but also a calculus for computing information flow, witness the concrete procedures for model update, and the axiomatic dynamic-epistemic laws governing this.”
Quote in the paperSubstantial claim - Premisecitation§ 8.5 Coda: intuitionistic logic and modal information models · p. 60
The full completeness theorems of Abramsky & Jagadeesan 1994 link specific proofs to concrete objects in category-theoretic semantics.
“This strong connection comes out even very forcefully in the 'full completeness' theorems of Abramsky & Jagadeesan 1994, which do not just link provability to validity, but specific proofs to concrete objects in (category-theoretic) semantics.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Abramsky & Jagadeesan 1994 source
- Interpretationreasoning§ 7.2 How can inference be informative ? · p. 51
Inference or computation can increase information, but only by a little, since a shortest description of the theorem generator plus the allotted running length suffices.
“There, too, inference or computation can increase information, but only by a little, since a shortest description of the theorem generator plus the allotted running length suffices.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ 8.5 Coda: intuitionistic logic and modal information models · p. 60
In logical systems like intuitionistic logic, inferential and semantic information are very close.
“This long-standing harmony suggests that in logical systems like this, inferential and semantic information are very close.”
Quote in the paperNot a substantial claim - Interpretationnone given§ 9 Conclusion: Logic as Information Theory · p. 62
Epistemic logic can be interpreted as an information theory of range, knowledge, and observation-based update.
“More specifically, we have re-interpreted epistemic logic as an information theory of range, knowledge , and observation-based update .”
Quote in the paperSubstantial claim - Interpretationreasoning§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 58
The preceding two approaches show that evidence-based ∃-type and range-based ∀-type accounts of information can live together.
“The preceding two approaches shows that evidence based $ -type and range-based”
Quote in the paperSubstantial claim - Premisereasoning§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 59
The usual structural rules of classical inference fail in the Lambek Calculus.
“Beyond that, however, the usual structural rules of classical inference turn out to fail 50 , and thus, there is a strong connection between substructural logics and what might be called abstract information theory (Mares 1996, Restall 2000, Mares 2003).”
Quote in the paperSubstantial claim - Interpretationreasoning§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 59
There is a strong connection between substructural logics and abstract information theory.
“Beyond that, however, the usual structural rules of classical inference turn out to fail 50 , and thus, there is a strong connection between substructural logics and what might be called abstract information theory (Mares 1996, Restall 2000, Mares 2003).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Mares 1996 source
- cites Restall 2000
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Mares 2003
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationcitation§ 7.4 Proofs and information dynamics · p. 54
There can be a significant connection between proof-theoretic or other syntactic formats for information and earlier semantic views, as shown by Gödel's completeness theorem.
“That there can be a significant connection seems clear from Gödel's completeness theorem which started off modern logic by showing how, in major systems like first-order logic, a formula f is true in all semantic models if and only if f has a syntactic proof.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Gödel's completeness theorem
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationreasoning§ 9 Conclusion: Logic as Information Theory · p. 62
The situation-theoretic perspective on information is not in conflict with the epistemic one but forms its natural complement.
“We have shown that, despite some common misconceptions, this situation-theoretic perspective is not in conflict with the epistemic one, but rather forms its natural complement.”
Quote in the paperSubstantial claim
- Probably not a substantial claim. 189
- It may state two separate claims as one. 56
- The quote only partly states this claim. 1
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisereasoning§ Structure should always come in tandem with a process! · p. 21Product update turns the current epistemic model M into a model MxA which can even be larger than M itself, recording information of different agents about base facts and what others know.
“This leads to a mechanism of product update , turning the current epistemic model M into a model MxA which can even be larger than M itself, recording information of different agents about base facts and what others know.”
Quote in the paperNot a substantial claim1 of 3 sources checked- cites Baltag, Moss & Solecki 1998
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Gerbrandy 1999
- cites van Benthem, van Eijck & Kooi 2006 source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 8.1 Two-level syntax-semantics formats · p. 55Examples of this sort of approach include Dung 1995, Wassermann 2001, Gabbay, Kempson & Meyer Viol 2001, and Jago 2006.
“Examples of this sort of approach include Dung 1995 on dynamic logic of argumentation, Wassermann 2001 on belief revision over syntactic knowledge bases, Gabbay, Kempson & Meyer Viol 2001 on dynamic logic of grammars, and the earliermentioned Jago 2006.”
Quote in the paperNot a substantial claim1 of 3 sources checked- cites Dung 1995 source
Section 1.5, “Relations to Other Approaches” (page not provided), describes this paper’s framework as an argumentational approach to the semantics of logic programming. That supports identifying Dung 1995 as an argumentation-based approach, but our copy does not identify it as a dynamic logic of argumentation. (LLM, conf=0.82)
Experimental — accuracy not yet measured - cites Wassermann 2001
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Jago 2006
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 7.4 Proofs and information dynamics · p. 53Current 'logic of proofs' (starting from Artemov 1994) is developing a general take on evidence combination.
“In this spirit, current 'logic of proofs' (starting from Artemov 1994) is developing a general take on evidence combination, and one can view the 'labeled deductive systems' of Gabbay 1996 as a program with similar ambitions.”
Quote in the paperNot a substantial claim1 of 1 sources checked- cites Artemov 1994 source
It may state two separate claims as one.
Findingcitation§ 'to the best of i's information' for Ki f · p. 13The complete logic with all the above S5 principles is decidable, be it computationally more complex than its propositional base. It is 'Pspace-complete', rather than 'NP-complete', giving it the same complexity as many games.
“The complete logic with all the above principles is decidable, be it computationally more complex than its propositional base. It is ' Pspace -complete', rather than ' NP -complete', giving it the same complexity as many games (Papadimitriou 1994)”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Papadimitriou 1994
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper may give no reason why it holds.
Findingnone given§ T Õ T' iff MOD(T) ⊇ MOD(T') · p. 8T is a subset of T' iff MOD(T) is a superset of MOD(T').
“T Õ T' iff MOD(T) ⊇ MOD(T')”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Findingreasoning§ 6.4 Combining epistemic logic and constraint logic · p. 47[]xφ does not imply K[]xφ; a situation's impersonal correlation knowledge need not be known to an external agent unless the agent observes x.
“If [] x f holds at some world s , must the agent know this fact: [] x f Æ K [] x f ? Not so: [] x f can be true at some worlds, and false at epistemically accessible ones. What a situation x 'knows' in the earlier impersonal sense of correlation need not be known to an external agent, unless this agent makes an observation about x .”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Findingreasoning§ 6.5 Explicit dynamics: events, information change, and correlation · p. 48The Mousetrap and other running examples are complex systems with a finite number of components cycling through a finite number of possible states according to a fixed scenario.
“The Mousetrap and other running examples are of this kind: a complex system with a finite number of components cycles through a finite number of possible states, according to some fixed scenario.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Findingreasoning§ 6.3 Digression: constraint logic and logic of dependence · p. 45In general assignment models, $x$yφ and $y$xφ are not equivalent, and neither captures the polyadic quantifier $xy· as defined.
“But in general assignment models, these expressions are no longer equivalent, as not all 'intermediate assignments' for x - or y -shifts need be present - and both fail to capture $ xy· as defined here.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Findingreasoning§ 7.2 How can inference be informative ? · p. 51In the party example, {John, Mary} satisfies all requirements.
“Indeed, {John, Mary} satisfies all requirements.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Interpretationreasoning§ 3.3 Other attitudes: doxastic and conditional logic · p. 15In doxastic logic as used in dynamic informational processes, one soon finds that mere beliefs are not sufficient for explaining agents' behaviour over time.
“In doxastic logic as used in dynamic informational processes, one soon finds that mere beliefs are not sufficient for explaining agents' behaviour over time.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: We now assume further semantic structure, in the form of a plausibility ordering of worlds as seen from some vantage point.
Probably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. It may state two separate claims as one.
Premisenone given§ 5.1 Basic concepts of situation theory · p. 26Situation theory starts from a concrete reality, with concrete parts but no concrete alternatives.
“Situation theory starts from a concrete reality, with concrete parts but no concrete alternatives.”
Quote in the paperNot a substantial claim- Rests on an assumption: There is a concrete reality with concrete parts but no concrete alternatives.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ Structure should always come in tandem with a process! · p. 23Agents exercise these powers interactively, in groups of agents, leading to behavioral equilibria that naturally invite study per se.
“they exercise these powers interactively, in groups of agents, leading to behavioral equilibria that naturally invite study per se.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 26Treatments of information as correlation focus on information reports, in which one state of affairs carries information about another.
“Treatments of information as correlation as mentioned in our Introduction focus on information reports, in which one state of affairs carries information about another; the way one thing indicates how another thing is; the way the x -ray turned out carries information about Gretchen's leg.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisenone given§ Structure should always come in tandem with a process! · p. 22Plausibility orderings can be viewed as representing agents' attitudes, or as the result of receiving soft information.
“These can be viewed as representing agents' attitudes, or as the result of receiving what might be called soft information .”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 2 Information in Logic · p. 6Lorenzen 1955 explained a valid consequence as a dialogical claim in an argumentation game, whose proponent has a winning strategy against any opponent granting the premises.
“Lorenzen 1955 famously explained a valid consequence as a dialogical claim in an argumentation game, whose proponent has a winning strategy against any opponent granting the premises.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Lorenzen 1955 source
Probably not a substantial claim. It may be too vague to check against evidence.
Interpretationreasoning§ 'to the best of i's information' for Ki f · p. 11Higher-order information about (lack of) information of ourselves and others is just as important as ground-level factual information.
“'Higher-order information' about (lack of) information of ourselves and others is just as important as ground-level factual information!”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisenone given§ 3.4 Agents: powers, attitudes, and collective information · p. 16Epistemic logic has notions of group knowledge which are sui generis, with pride of place going to common knowledge.
“In particular, epistemic logic also has notions of group knowledge which are sui generis, with pride of place going to”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper may give no reason why it holds.
Interpretationreasoning§ 1 Introduction and summary · p. 1Information is always to be understood in connection with some dynamic process using and transforming it.
“information is always to be understood in connection with some dynamic process using and transforming it.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Interpretationreasoning§ 2 Information in Logic · p. 4Information is brought to light in logical deduction or computation, and inferences are actions transforming the current state.
“Thus, on this view, information is brought to light in logical deduction or computation, and inferences are actions transforming the current state”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 3.4 Agents: powers, attitudes, and collective information · p. 15The Distribution Axiom says that knowledge is closed under known implications, giving agents unlimited powers of stepwise inference from what they already know.
“For instance, the Distribution Axiom Kj ( fÆy ) Æ (K j fÆ Kj y ) says that knowledge is closed under known implications, giving agents unlimited powers of stepwise inference from what they already know.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 3.4 Agents: powers, attitudes, and collective information · p. 15The Introspection Axioms give agents unlimited powers of self-reflection on what they know or do not know.
“Likewise, the Introspection Axioms give them unlimited powers of self-reflection on what they know or do not know.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 5 Information as Correlation: the world of Situation Theory · p. 25Dretske defines knowledge as belief caused by information flow.
“Dretske then defines knowledge as belief caused by information flow.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Dretske 1981
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
It may state two separate claims as one.
Premisenone given§ 2 Information in Logic · p. 5Constraints in our environment correlate behaviour of spatio-temporally different situations, providing information channels between situations.
“Making sense of this aboutness calls attention to the 'constraints' in our environment, which correlate behaviour of spatio-temporally different situations. These constraints provide information channels between situations”
Quote in the paperSubstantial claimProbably not a substantial claim.
Premisenone given§ Structure should always come in tandem with a process! · p. 24Our logical systems are social, in that basic scenarios have more than one agent together.
“They are also social , in that basic scenarios have more than one agent together.”
Quote in the paperSubstantial claimProbably not a substantial claim. It may be too vague to check against evidence.
Interpretationreasoning§ Structure should always come in tandem with a process! · p. 22There is more to information flow than hard information, whether observed totally or partially, and the resulting knowledge.
“But there is more to information flow than hard information, whether observed totally or partially, and the resulting knowledge.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Premisecitation§ 5 Information as Correlation: the world of Situation Theory · p. 25Dretske builds on Shannon's theory of information transmission, but his account is qualitative and focuses on semantic content, not on the amount of information transmitted.
“Dretske builds on Shannon's theory of information transmission, but his account is qualitative and his focus is squarely on semantic content , not on the amount of information transmitted.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Dretske 1981
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. It may state two separate claims as one.
Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 26Epistemic logic in its static and dynamic versions has a well-developed model theory and proof calculus, but it provides little information at a practical level about what might be called the art of modeling.
“Epistemic logic in its static and dynamic versions has a well-developed model theory and proof calculus, but it provides little information at a practical level about what might be called the 'art of modeling'.”
Quote in the paperSubstantial claimProbably not a substantial claim.
Interpretationreasoning§ 3.4 Agents: powers, attitudes, and collective information · p. 16These correspondences provide a refined logical view of what information can flow in a given setting, given the nature of a source and that of the recipient.
“These correspondences provide a refined logical view of what information can flow in a given setting, given the nature of a source and that of the recipient.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 3.4 Agents: powers, attitudes, and collective information · p. 16There is a link between the KK principle Kφ → KKφ and transitivity of accessibility.
“the much-discussed link between the ' KK principle' K f Æ KK f and transitivity of accessibility”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Interpretationreasoning§ 2 Information in Logic · p. 5Inference is now just one of several information-producing processes entangled in even the simplest scenarios of information flow.
“inference is now just one of several information-producing processes entangled in even the simplest scenarios of information flow”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 25In situation theory we distinguish between having and carrying information.
“Furthermore, in situation theory we distinguish between having and carrying information.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Premisecitation§ 5 Information as Correlation: the world of Situation Theory · p. 24Situation theory originated in the 1980s as a foundational framework for situation semantics, but has come to study the notion of information from a much more general point of view.
“It originated in the 1980's (Barwise & Perry 1983) as a foundational framework for 'situation semantics', but in its underlying situation theory , the program has come to study the notion of information from a much more general point of view”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Barwise & Perry 1983
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 3.5 Connections with other fields · p. 17The distribution axiom K(φ → ψ) → (Kφ → Kψ) has sparked debates about Logical Omniscience.
“the distribution axiom K( f Æ y ) Æ (K f Æ K y ) has sparked debates about Logical Omniscience”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Interpretationnone given§ 1 Introduction and summary · p. 1The greater one's range of options for what the real world is like, the less information one has.
“The greater one's range of options for what the real world is like, the less information one has.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper may give no reason why it holds.
Interpretationreasoning§ 3.3 Other attitudes: doxastic and conditional logic · p. 15This requires conditional belief.
“This requires conditional belief”
Quote in the paperNot a substantial claim- The authors state this as an assumption: We now assume further semantic structure, in the form of a plausibility ordering of worlds as seen from some vantage point.
Probably not a substantial claim. The paper may give no reason why it holds.
Premisenone given§ Structure should always come in tandem with a process! · p. 24Our logical systems are dynamic, treating informational actions and events on a par with static information structures.
“They are dynamic , treating informational actions and events on a par with static information structures.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Interpretationnone given§ 3.2 Knowledge and epistemic logic · p. 9Working with equivalence relations does validate some much-debated epistemic features of agents like 'positive' and 'negative introspection' concerning one's own knowledge.
“Working with equivalence relations does validate some much-debated epistemic features of agents like 'positive' and 'negative introspection' concerning one's own knowledge.”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Premisenone given§ 1 Introduction and summary · p. 1There are several competing logical accounts of information, ranging from semantic to syntactic.
“Information is also a widely used term in logic, but a similar diversity repeats itself: there are several competing logical accounts of this notion, ranging from semantic to syntactic.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 2 Information in Logic · p. 5This notion of information is found in epistemic logic and related semantic paradigms.
“This notion of information is found in epistemic logic and related semantic paradigms which we will discuss below in Sections 3 and 4.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 3.5 Connections with other fields · p. 17The universal quantifier in information as range provides a rather poor analysis of knowledge in the philosopher's demanding sense.
“It was soon found that the universal quantifier in information as range provides a rather poor analysis of knowledge in the philosopher's demanding sense, where the quest for a satisfactory definition of knowing that P involves finding the right sort of 'robustness' in addition to the obvious features of truth of P and belief in P .”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Premisereasoning§ 2 Information in Logic · p. 4Information states are stages in a dynamic process of deduction, and informational moves are proof steps or computation steps.
“Information states are then stages in a dynamic process of deduction, and the corresponding informational moves are proof steps, or more general computation steps.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 3.5 Connections with other fields · p. 17Knowledge may be a context-dependent term for the strictest attitude in the current setting.
“'Knowledge' may then be a contextdependent term for 'the strictest attitude in the current setting'.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 25Situation theory adopts the same guiding idea as Dretske, though dropping the probabilities, and it encompasses not only natural but also conventional signals and others.
“Situation theory adopts the same guiding idea - though dropping the probabilities -, and it encompasses not only natural but also conventional signals and others.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence.
Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 25Information is a pervasive aspect of reality, prior to cognitive action.
“Information is a pervasive aspect of reality, prior to cognitive action.”
Quote in the paperNot a substantial claim- Rests on an assumption: Information is a pervasive aspect of reality, prior to cognitive action.
Probably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Interpretationnone given§ 3.3 Other attitudes: doxastic and conditional logic · p. 14It is crucial that our beliefs can be false.
“It is crucial that our beliefs can be false.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: We now assume further semantic structure, in the form of a plausibility ordering of worlds as seen from some vantage point.
Probably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. It may state two separate claims as one.
Premisenone given§ 3.4 Agents: powers, attitudes, and collective information · p. 15The abilities of omniscience and introspection have been questioned in much of the philosophical and computational literature, though no alternative consensus model of bounded rationality has emerged so far.
“These abilities of 'omniscience' and 'introspection' have been questioned in much of the philosophical and computational literature though no alternative consensus model of 'bounded rationality' has emerged so far.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. It may state two separate claims as one.
Premisenone given§ 3.2 Knowledge and epistemic logic · p. 9One often takes the ~i to be equivalence relations, but this is not crucial to epistemic logic.
“One often takes the ~ i to be equivalence relations, but this is not crucial to epistemic logic.”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Premisereasoning§ 3.3 Other attitudes: doxastic and conditional logic · p. 14Belief is semantically less demanding than knowledge, in the sense of 'truth in the most plausible options'.
“we can now define belief semantically as less demanding than knowledge, in the sense of 'truth in the most plausible options'”
Quote in the paperSubstantial claim- The authors state this as an assumption: We now assume further semantic structure, in the form of a plausibility ordering of worlds as seen from some vantage point.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 3.5 Connections with other fields · p. 17Epistemic logic has never offered a definition of knowledge of comparable sophistication to philosophical definitions.
“Even though epistemic logic has never offered a definition of knowledge of comparable sophistication, the very mismatch with the richer philosophical tradition has been much more exciting than many happy marriages, leading to clarification and fruitful debate.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisenone given§ 5.1 Basic concepts of situation theory · p. 26Situation theory is committed to there being situations, but need not be committed to there being a largest total situation of which the rest are parts.
“Situation theory is committed to there being situations, but need not be committed to there being a largest total situation of which the rest are parts.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 3.2 Knowledge and epistemic logic · p. 9The best-known paradigm incorporating information as semantic range is epistemic logic.
“The best-known paradigm incorporating information as semantic range is epistemic logic”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper may give no reason why it holds.
Premisenone given§ 5.1 Basic concepts of situation theory · p. 26Everything that exists, happens, or is true has its status because of the nature of this reality.
“But ultimately everything that exists, everything that happens, everything that is true, has its status because of the nature of this reality.”
Quote in the paperNot a substantial claim- Rests on an assumption: Everything that exists, happens, or is true has its status because of the nature of this reality.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 24According to situation semantics, meaning arises from the interaction of organisms and their information-rich environment.
“According to situation semantics, meaning arises from the interaction of organisms and their information-rich environment.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence.
Interpretationcitation§ 4 Information flow and dynamic logic · p. 18Information really comes into its own only in a dynamic setting of communication and information flow.
“As in other information theories, such as Shannon's quantitative account of channel transmission (cf. the chapters by Harremoes & Topsoe and by Grunwald & Vitanyi in this Handbook), information really comes into its own only in a dynamic setting of communication and information flow .”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Interpretationnone given§ 3.1 Information, state spaces, and sentences · p. 8Extra information does not add things: it rather shrinks the current range of options for what the real situation might be.
“It takes an 'inverse view' where extra information does not add things: it rather shrinks something, viz. the current range of options for what the real situation might be.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 26Situation theory offers a rich apparatus for modeling challenging phenomena, but so far it has not yet generated canonical calculi of reasoning with the same sweep and wide application as epistemic logic.
“Situation theory does a kind of converse. It offers a rich apparatus for modeling challenging phenomena - but so far, it has (with a few exceptions to be noted below) not yet generated canonical calculi of reasoning with the same sweep and wide application as epistemic logic.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisereasoning§ 5.1 Basic concepts of situation theory · p. 26Situations are rich in structure, and support a variety of schemes, suited or unsuited to various needs.
“Rather, situations are rich in structure, and support a variety of schemes, suited (or unsuited) to various needs.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 3.4 Agents: powers, attitudes, and collective information · p. 17Distributed knowledge is a natural form of group knowledge referring to what a group might come to know if it pooled the information available to individual members.
“Another natural form of group knowledge is 'distributed knowledge' referring to what a group might come to know if it pooled the information available to individual members (cf. Fagin et al., 1995, van Benthem 2006B).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Fagin et al., 1995
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites van Benthem 2006B
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 26More generally, one situation carries information about another situation connected to it in some way, by some channel of information, in virtue of a regularity or constraint: perhaps a natural law, a convention, or something else.
“More generally, one situation carries information about another situation connected to it in some way, by some channel of information, in virtue of a regularity or constraint: perhaps a natural law, a convention, or something else.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ Structure should always come in tandem with a process! · p. 23Agents have powers of inference, observation, introspection, and self-correction, maybe not all to the same degree.
“Agents have powers of inference, observation, introspection, and self-correction, maybe not all to the same degree”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Premisenone given§ 5 Information as Correlation: the world of Situation Theory · p. 24Situation theory is the only program in modern logic that treats information as its central notion, shaking up the usual agenda of research.
“We now turn to the only program in modern logic that treats information as its central notion, shaking up the usual agenda of research.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Interpretationreasoning§ 2 Information in Logic · p. 7We do not (yet) have one unified notion of information coming out of all this, and thus logic shows the same diversity one finds with the notion of information in general.
“But we do not (yet) have one unified notion of information coming out of all this - and thus logic shows the same diversity one finds with the notion of information in general in this Handbook.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 3.4 Agents: powers, attitudes, and collective information · p. 16In the logic, the additional axioms for CG bring out the reflexive fixed-point character which common knowledge has intuitively.
“In the logic, the additional axioms for CG bring out the 'reflexive' fixed-point character which common knowledge has intuitively:”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Premisecitation§ 5 Information as Correlation: the world of Situation Theory · p. 25Dretske's Information Content: to an agent with prior knowledge k, signal r carries the information that s is F iff Pr(s is F | r and k) = 1, but Pr(s is F | k) < 1.
“Information Content To an agent with prior knowledge k , signal r carries the information that s is F iff Pr (s is F | r and k) = 1 , but Pr(s is F | k) < 1.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Dretske 1981
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim.
Premisecitation§ 5 Information as Correlation: the world of Situation Theory · p. 25The Xerox Principle: if A carries the information that B and B carries the information that C, then A carries the information that C.
“Xerox Principle If A carries the information that B and B carries the information that C , then A carries the information that C.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Dretske 1981
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim.
Premisereasoning§ 1 Introduction and summary · p. 1Information as correlation involves connections between different situations.
“information tends to be about something that is relevant to us, and hence it crucially involves connections between different situations: my own, and others.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ Structure should always come in tandem with a process! · p. 21The dynamic knowledge axiom [!P]Kiφ ↔ (P → Ki(P → [!P]φ)) involves an interchange between the dynamic operator [!P] and the epistemic Ki.
“The dynamic knowledge axiom [!P]K i f ´ (P Æ Ki (P Æ [!P] f)) also involves an interchange between the dynamic operator [!P] and the epistemic Ki .”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Interpretationreasoning§ 2 Information in Logic · p. 6Logic can cast information as what flows in communication, and more generally, as the lubricant of intelligent interaction.
“Thus, logic can also cast information as what flows in communication, and more generally, as the lubricant of intelligent interaction.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisereasoning§ 3.2 Knowledge and epistemic logic · p. 9Agents know what is true throughout their current range of uncertainty.
“Agents know what is true throughout their current range of uncertainty:”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper may give no reason why it holds.
Interpretationnone given§ 3 Information as range: state spaces, epistemic, and doxastic logic · p. 7Current epistemic logic - broadly understood - is the 'information theory' that goes with information as range.
“In our view, current epistemic logic - broadly understood - is the 'information theory' that goes with this.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 3.5 Connections with other fields · p. 18Notions of knowledge based on epistemic logic have penetrated other areas, notably computer science, witness the interdisciplinary TARK conferences since the early 1980s.
“Notions of knowledge based on epistemic logic have penetrated other areas, notably computer science, witness the interdisciplinary TARK conferences since the early 1980s (Fagin et al. 1995), with their current companion event LOFT.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Fagin et al. 1995
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 5.1 Basic concepts of situation theory · p. 27Situations determine whether a given state of affairs or its dual is a fact.
“Situations determine whether a given state of affairs or its dual is a fact.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds. It may state two separate claims as one.
Interpretationnone given§ 1 Introduction and summary · p. 2Information as range and information as correlation are compatible semantic notions and can be merged.
“information as range and information as correlation are compatible semantic notions, and we show later how they can be merged”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 3.5 Connections with other fields · p. 17The axiom Kφ → KKφ has sparked debates about Positive Introspection.
“the axiom K f Æ KK f about Positive Introspection”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Premisenone given§ 5.1 Basic concepts of situation theory · p. 27Some situations will leave the relevant issue unresolved, making neither a state of affairs nor its dual factual.
“Some situations will leave the relevant issue unresolved, making neither s nor its dual factual.”
Quote in the paperSubstantial claimProbably not a substantial claim. It may be too vague to check against evidence.
Interpretationnone given§ 5.5 Harnessing information · p. 38Notions of information must eventually be understood in terms of the dynamic processes which that information is used for.
“that notions of information must eventually be understood in terms of the dynamic processes which that information is used for.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 5.6 Some further developments · p. 40Situation theory is a logical account of information in distributed systems (including reality itself as parsed by agents) which models information as correlation.
“Situation theory is a logical account of information in distributed systems (including reality itself as parsed by agents) which model information as correlation.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisenone given§ 6.5 Explicit dynamics: events, information change, and correlation · p. 48Dynamic epistemic logic made informational events a key feature, and situation theory involved event scenarios for making use of information.
“Dynamic epistemic logic made informational events a key feature. Likewise, situation theory involved event scenarios for making use of ('harnessing') information, such as The Mousetrap in Section 5.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisecitation§ 7.1 Information as code and elucidation · p. 50Other well-established formats that have been linked with modeling information flow are logic programming and resolution theorem proving, and more general unification-based inferential mechanisms.
“Other well-established formats that have been linked with modeling information flow are logic programming and resolution theorem proving (cf. Kowalski 1979), Doets 1994), and more general unification-based inferential mechanisms (cf. Rounds 1997).”
Quote in the paperNot a substantial claim0 of 3 sources checkedProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisenone given§ 5.6 Some further developments · p. 40Situation theory brings along its own agenda of technical issues, which include formal theories of circularity in modeling and the associated reasoning apparatus, and a general account of relations between situations and of the channels along which information can flow.
“It brings along its own agenda of technical issues, which include formal theories of circularity in modeling and the associated reasoning apparatus, and a general account of relations between situations and of the channels along which information can flow.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it.
Interpretationnone given§ 5.4 Classifications and channel theory · p. 36Modeling agents that can reason about their world would require a good account of 'inferential information'.
“Now in general, modeling agents that can reason about their world would require a good account of ' inferential information', which is not an easy notion to capture in a satisfactory manner”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 5.4 Classifications and channel theory · p. 33These facts are about how situations are classified.
“These facts are about how situations are classified .”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Premisecitation§ 6.3 Digression: constraint logic and logic of dependence · p. 45Van Benthem 2005 shows that the modal constraint logic can be faithfully embedded into the first-order logic of dependent variables, and vice versa.
“Van Benthem 2005 shows how the above modal constraint logic can be faithfully embedded into the first-order logic of dependent variables, and also vice versa.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Van Benthem 2005 source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 6.3 Digression: constraint logic and logic of dependence · p. 45In first-order logic, the polyadic quantifier $xy·φ is equivalent to $x$yφ and to $y$xφ in any order.
“In first-order logic, $ xy· f is just short-hand for $ x $ y f or $ y $ x f in any order.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Interpretationreasoning§ 5.6 Some further developments · p. 39In set-theoretic approaches to situation theory, situations are usually modeled as sets of tuples, but self-referring situations cannot be naturally modeled as sets in the standard Zermelo universe.
“in set-theoretic approaches to situation theory, situations are usually modeled as sets of tuples (standing for the infons supported by the situation), but self-referring situations cannot be naturally modeled as sets in the standard Zermelo universe.”
Quote in the paperSubstantial claimIt may state two separate claims as one.
Interpretationreasoning§ 6.4 Combining epistemic logic and constraint logic · p. 47Information as correlation and information as range co-exist happily inside one formal modeling, and in more than one way.
“To summarize, information as correlation and information as range co-exist happily inside one formal modeling, and that even in more than one way.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 6.3 Digression: constraint logic and logic of dependence · p. 45The commutativity law $x$yφ → $y$xφ expresses that a Diamond Property should hold.
“E.g., the commutativity law $ x $ y f Æ $ y $ x f says that a Diamond Property should hold:”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Premisenone given§ 5.4 Classifications and channel theory · p. 33The notions of information flow presented in the previous section involve facts of the form s |= T, where s is a situation and T a type.
“The notions of information flow presented in the previous section involve facts of the form s |= T , where s is a situation and T a type.”
Quote in the paperSubstantial claimProbably not a substantial claim.
Premisenone given§ 5.1 Basic concepts of situation theory · p. 28The Principle of Persistence: all information supported by a situation s1 must be supported by any other situation s2 that extends s1.
“A guiding principle here is the Principle of Persistence: all information supported by a situation s 1 must be supported by any other situation s 2 that extends s 1 .”
Quote in the paperSubstantial claimProbably not a substantial claim. It may state two separate claims as one.
Premisecitation§ 5.5 Harnessing information · p. 39An account of having information is being in a state that plays two roles: the agent's being in the state carries certain information relative to a constraint, and the agent's being in that state has an effect, triggering an action relative to some other constraint appropriate given the information.
“What we want then is an account of having information as being in a state that plays two roles (Israel & Perry 1991). First, the agent's being in the state carries certain information relative to a constraint. Second, an agent's being in that state has an effect, i.e., it triggers an action relative to some other constraint, that is appropriate given the information.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Israel & Perry 1991
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 7.1 Information as code and elucidation · p. 50Standard mathematical Proof Theory uses natural deduction and associated calculi of type theory.
“Standard mathematical Proof Theory (Troelstra & Schwichtenberg 1996, Feferman 2000, Tennant 1978) uses natural deduction and associated calculi of type theory.”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Troelstra & Schwichtenberg 1996
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Feferman 2000
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Tennant 1978
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim.
Interpretationreasoning§ 6.4 Combining epistemic logic and constraint logic · p. 46Information as correlation and information as range form a natural and compatible pair.
“Though distinct, the two phenomena obviously form a natural and compatible pair.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Premisenone given§ 5.4 Classifications and channel theory · p. 36Most regularities to which agents are attuned hold only within some regions of reality.
“Now, most regularities to which agents are attuned hold only within some regions of reality.”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Interpretationreasoning§ 5.4 Classifications and channel theory · p. 35This notion of information flow is relative to a channel, and hence to an analysis of a whole distributed system into its parts.
“This notion of information flow is relative to a channel -and hence, to an analysis of a whole distributed system into its parts.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 5.6 Some further developments · p. 40When F(X) = P(X), an F-coalgebra turns out to be just a modal relational Kripke frame.
“As a simple but important example, when we take F(X) = P ( X ), an F -coalgebra turns out to be just a modal relational Kripke frame.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper may give no reason why it holds.
Interpretationnone given§ 7.1 Information as code and elucidation · p. 50Inference by its nature is more tied to details of syntactic representation, either on formulas per se, or some abstraction thereof.
“Inference by its nature is more tied to details of syntactic representation, either on formulas per se, or some abstraction thereof.”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Interpretationreasoning§ 5.3 Information flow and distributed systems · p. 33It is in virtue of constraints (relations on types) that concrete situations, being of certain type, can act as carriers of information.
“It is in virtue of constraints (relations on types) that concrete situations, being of certain type, can act as carriers of (concrete or general) information.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisereasoning§ 6.5 Explicit dynamics: events, information change, and correlation · p. 48An observation that the state is P is not an internal system event, because it affects an outside agent's view of the system.
“This is not an internal 'system event', as it affects an outside agent's view of the system.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence.
Interpretationreasoning§ 6 Merging Range and Constraint Views · p. 41We need to understand how epistemic logic and situation theory can live together in modeling actual phenomena.
“we need to understand how epistemic logic and situation theory can live together in modeling actual phenomena.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 5.1 Basic concepts of situation theory · p. 27There are two ways a situation s can fail to make a given state of affairs σ factual: s may make the dual of σ factual, or s may fail to resolve the σ-issue one way or the other.
“Hence, there are two ways a situation s can fail to make a given state of affairs s factual. Namely, s may make the dual of s factual, or s may fail to resolve the s -issue one way or the other.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper may give no reason why it holds.
Premisenone given§ 6.2 Modal logics of constraints and correlation · p. 43A situation x which satisfies p 'settles' the truth of p, plus all repercussions this has for other situations in the system.
“Intuitively, a situation x which satisfies p 'settles' the truth of p , plus all repercussions this has for other situations in the system.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 6.4 Combining epistemic logic and constraint logic · p. 47Interpreted systems also involve stepwise action by agents.
“Interpreted systems also involve stepwise action by agents, but more on this below.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 6.2 Modal logics of constraints and correlation · p. 43This is like 'distributed knowledge' for groups in epistemic logic, describing what whole sets of agents may be said to 'know implicitly'.
“This is like 'distributed knowledge' for groups in epistemic logic, describing what whole sets of agents may be said to 'know implicitly'.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Interpretationnone given§ 6.6 Conclusion: semantic co-existence · p. 49Information as correlation leads to static and dynamic constraint logics.
“Likewise, information as correlation leads to static and dynamic constraint logics.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence.
Interpretationnone given§ 6 Merging Range and Constraint Views · p. 40The two styles of thinking (information as range and information as correlation) are very congenial.
“we do show that the two styles of thinking are very congenial.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 5.1 Basic concepts of situation theory · p. 28States of affairs are special infons: those whose set of parameters is empty.
“Notice that states of affairs are special infons: those whose set of parameters is empty.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Premisenone given§ 5.6 Some further developments · p. 39Natural language as a medium for communication sometimes involves utterances about the very same situation in which they are made.
“Natural language as a medium for communication sometimes involves utterances about the very same situation in which they are made.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Premisereasoning§ 5.1 Basic concepts of situation theory · p. 28The meet of a set of infons and the existentialization of an infon with respect to a parameter comply with persistence.
“Two important constructs that comply with persistence are the meet of a set of infons and the existentialization of an infon with respect to a parameter.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Premisenone given§ 5.1 Basic concepts of situation theory · p. 27No situation will make both a state of affairs and its dual factual.
“No situation will make both s and its dual factual”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 5.1 Basic concepts of situation theory · p. 27Some situation will make a given state of affairs or its dual factual.
“Some situation will make s or its dual factual”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Interpretationnone given§ 6.3 Digression: constraint logic and logic of dependence · p. 45Imposing special conditions such as the Diamond Property makes models much like full function spaces, and the complete first-order logic of independence becomes undecidable.
“Imposing such special conditions makes models much like full function spaces, and the complete first-order logic (of independence) becomes undecidable .”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 5.6 Some further developments · p. 39There is a unique set with the self-referential or circular specification W = { W }.
“E.g., there is a unique set with the self-referential or circular specification W = { W }”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 6.2 Modal logics of constraints and correlation · p. 43The tuple modalities [] x involve an intersection of accessibility relations [] x for single situations x.
“The tuple modalities [] x involve an intersection of accessibility relations [] x for single situations x .”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Premisenone given§ 5.3 Information flow and distributed systems · p. 33The availability of information depends on the existence of regularities between connected parts of a distributed system.
“(1) The availability of information depends on the existence of regularities between connected parts of a distributed system.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Interpretationreasoning§ 6.2 Modal logics of constraints and correlation · p. 44The extended modal constraint language has a decidable complete logic with modal S5 for each tuple modality, plus all axioms of the forms U f Æ [] x f, and [] x f Æ [] y f whenever y Õ x.
“More generally, the extended modal constraint language has a decidable complete logic with modal S5 for each tuple modality, plus all axioms of the forms U f Æ [] x f , and [] x f Æ [] y f whenever y Õ x .”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationcitation§ 5.4 Classifications and channel theory · p. 37Natural modifications of other rules from Barwise & Seligman 1997 would also yield principles such as those involving f[G].
“Natural modifications of other rules from Barwise & Seligman 1997 would also yield principles such as”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Barwise & Seligman 1997
Probably not a substantial claim.
Interpretationnone given§ 6.6 Conclusion: semantic co-existence · p. 49Information as range gave rise to both static and dynamic epistemic logics.
“Information as range gave rise to both static and dynamic epistemic logics.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 5.4 Classifications and channel theory · p. 37So far, the question of what 'legitimately infer' means in this setting has not been satisfactorily answered.
“But what does 'legitimately infer' mean in this setting? So far this question has not been satisfactorily answered.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 5.6 Some further developments · p. 40Main themes in this new direction are the duality between algebras, inductive definitions and smallest fixed points on one hand, and coalgebras, coinductive definitions and largest fixed points on the other hand.
“Main themes in this new direction are the duality between algebras, inductive definitions and smallest fixed points on one hand, and coalgebras, coinductive definitions and largest fixed points on the other hand (Jacobs & Rutten 1997).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Jacobs & Rutten 1997
Probably not a substantial claim. The paper may give no reason why it holds. It may state two separate claims as one.
Premisenone given§ 5.2 Information flow · p. 32Information is used by agents to guide their actions, and is relative to the manner in which an agent is adapted to the world.
“Typically, information is used by agents to guide their actions, and thus, it is relative to the manner in which an agent is adapted to the world.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper may give no reason why it holds. It may state two separate claims as one.
Interpretationnone given§ 6 Merging Range and Constraint Views · p. 41The two paradigms (epistemic logic and situation theory) seem compatible and congenial both technically and conceptually.
“Indeed, the two paradigms seem compatible and congenial both technically and conceptually - and they share a common cause.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 6.3 Digression: constraint logic and logic of dependence · p. 45Dependence of various kinds is a major theme in foundations of first-order logic these days.
“Dependence of various kinds is a major theme in foundations of first-order logic these days (Abramsky 2006, Väänänen 2007).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Abramsky 2006
- cites Väänänen 2007
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationnone given§ 5.1 Basic concepts of situation theory · p. 30Simple constraints do not make explicit the kind of connection that exists between the constituents of the two types involved.
“Simple constraints do not make the kind of connection explicit that exists between the constituents of the two types involved.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. It may state two separate claims as one.
Interpretationreasoning§ 5.5 Harnessing information · p. 39In that case, the agent not only carries but has the information.
“In that case, the agent not only carries but has the information.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 7.1 Information as code and elucidation · p. 50The precise notion of 'information' behind the many calculi of inference in modern logic - and an optimal level of abstraction for it - seems even less established than in logical semantics.
“For a start, the precise notion of 'information' behind the many calculi of inference in modern logic - and an optimal level of abstraction for it -, seems even less established than in logical semantics.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds. It may state two separate claims as one.
Interpretationnone given§ 6.4 Combining epistemic logic and constraint logic · p. 46Information as correlation and information as range are different notions, and the difference is one of agency.
“Intuitively, information as correlation and information as range seem different notions. The difference is one of agency .”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Interpretationreasoning§ 5.5 Harnessing information · p. 38For information to be of use to an agent or device, it is not enough that the states carry the information; the agent or device must have the information.
“Clearly, for information to be of use to some agent, or to enable a device to do what it is supposed to, it is not enough that the states of the agent or device carry the information. The agent or device must in some sense have the information.”
Quote in the paperSubstantial claimProbably not a substantial claim.
Premisenone given§ 5.5 Harnessing information · p. 38The idea of harnessing information is that some state of the agent that carries the information that P should trigger the action A.
“The idea of harnessing information is now simple: some state of the agent that carries the information that P should trigger the action A .”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 6.3 Digression: constraint logic and logic of dependence · p. 44In many natural forms of reasoning, such as probability theory, variables can be dependent, in the sense that changes in one variable's value must co-occur with changes in another's.
“But in many natural forms of reasoning, e.g., in probability theory, variables x, y can be dependent, in the sense that changes of value for one must co-occur with changes of value for the other.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 7.1 Information as code and elucidation · p. 50There is a great variety of logical systems for deduction and proof, with very different formats.
“In line with this, there is a great variety of logical systems for deduction and proof, with very different formats.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Interpretationreasoning§ 6.5 Explicit dynamics: events, information change, and correlation · p. 48The combined dynamic constraint language describes constraints on the current state, and its event modalities record what happens as the system moves in the space of all its possible developments.
“This language describes constraints on the current state, but its event modalities also record what happens as the system moves in the space of all its possible developments.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 5.4 Classifications and channel theory · p. 35The current information flow complies with Dretske's Xerox Principle, in the sense that we can compose channels.
“The current information flow complies with Dretske's Xerox Principle, in the sense that we can compose channels.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds.
Premisenone given§ 5.3 Information flow and distributed systems · p. 33These regularities are relative to how the system is analyzed into parts.
“(2) These regularities are relative to how the system is analyzed into parts.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. It may state two separate claims as one.
Premisenone given§ 5.6 Some further developments · p. 39A graph with its childless nodes labeled by urelements represents a set, and each set can be represented as a labeled graph.
“A graph with its childless nodes labeled by urelements represents a set, and each set can be represented as a labeled graph.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 5.6 Some further developments · p. 39Situation theory has been applied to information flow involving self-reference.
“Situation theory has been applied to information flow involving self-reference.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Premisecitation§ 6.4 Combining epistemic logic and constraint logic · p. 47In the interpreted systems paradigm, epistemic worlds are vectors of local states for individual agents, and epistemic accessibility between worlds s,t for agent i is component-wise equality (s)i=(t)i.
“In the paradigm of 'interpreted systems'(Fagin, et al. 1995), epistemic worlds are vectors of 'local states' for individual agents, and epistemic accessibility between worlds s , t for agent i is just component-wise equality ( s ) i = ( t ) i .”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Fagin, et al. 1995
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
It may state two separate claims as one.
Premisereasoning§ 6.3 Digression: constraint logic and logic of dependence · p. 44First-order logic has no genuine dependencies between variables; in any assignment, shifting the value of one variable leaves all other variables' values unchanged.
“first-order logic has no genuine dependencies between variables.”
Quote in the paperSubstantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper may give no reason why it holds.
Premisenone given§ 6 Merging Range and Constraint Views · p. 41Both aspects of information (range and correlation) are relevant in practice.
“since both aspects of information are relevant in practice”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 7.4 Proofs and information dynamics · p. 52The resulting normal forms provide an attractive abstract level of information structure beyond brute details of syntax.
“The resulting normal forms provide an attractive abstract level of information structure beyond brute details of syntax, and in the setting of linear logic, Girard 1987, 1989 has emphasized how proof normalization steps may be seen as communication moves, and hence as a form of information flow.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence.
Interpretationnone given§ 7.3 Logical syntax as information structure · p. 51This is also very system-dependent.
“But it is also very system-dependent.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Interpretationreasoning§ 7.4 Proofs and information dynamics · p. 53Inference steps construct proofs, and hence they transform information at a syntactic level in a process of elucidation.
“Inference steps construct proofs, and hence they transform information at a syntactic level in a process of elucidation.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ there exists a justification for the formula f . · p. 56van Benthem 2006A shows how this also works for contextualist views of information, with # as an operation of 'context merge' reminiscent of situation theory.
“Incidentally, van Benthem 2006A shows how this also works for contextualist views of information - as discussed in the chapter by Dretske in this Handbook. In that case the crucial law is”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites van Benthem 2006A
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 8.5 Coda: intuitionistic logic and modal information models · p. 60Van Benthem 1996B proposes a 'modal theory of information' over models of abstract information stages ordered by inclusion.
“Van Benthem 1996B proposes a 'modal theory of information' over models of abstract information stages ordered by inclusion (cf. also the 'data semantics' of Veltman 1984, Landman 1986)”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Van Benthem 1996B
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Veltman 1984
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Landman 1986 source
Probably not a substantial claim. The paper may give no reason why it holds.
Interpretationnone given§ 7.2 How can inference be informative ? · p. 50Natural tasks show a clear interplay of update through observation, or recollection, or whatever source, with more combinatorial inferential steps.
“Natural tasks show a clear interplay of update through observation, or recollection, or whatever source, with more combinatorial inferential steps.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 7.4 Proofs and information dynamics · p. 52In the setting of linear logic, Girard 1987, 1989 has emphasized how proof normalization steps may be seen as communication moves, and hence as a form of information flow.
“The resulting normal forms provide an attractive abstract level of information structure beyond brute details of syntax, and in the setting of linear logic, Girard 1987, 1989 has emphasized how proof normalization steps may be seen as communication moves, and hence as a form of information flow.”
Quote in the paperNot a substantial claim0 of 2 sources checkedProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Interpretationnone given§ 7.4 Proofs and information dynamics · p. 52The widely used method of natural deduction is an elegant calculus putting together, linking, and repackaging pieces of evidence with their dependencies.
“In particular, the widely used method of natural deduction is an elegant calculus putting together, linking, and repackaging pieces of evidence with their dependencies.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisereasoning§ 7.4 Proofs and information dynamics · p. 53One can view the 'labeled deductive systems' of Gabbay 1996 as a program with similar ambitions.
“In this spirit, current 'logic of proofs' (starting from Artemov 1994) is developing a general take on evidence combination, and one can view the 'labeled deductive systems' of Gabbay 1996 as a program with similar ambitions.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Gabbay 1996
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ there exists a justification for the formula f . · p. 56van Benthem 1993 proposed merging epistemic logic with a 'calculus of evidence'.
“To have both views together then, van Benthem 1993 proposed merging epistemic logic with a 'calculus of evidence'.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites van Benthem 1993
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 8.1 Two-level syntax-semantics formats · p. 55Two- and many-level views also occur at the interface of logic and cognitive science (Castelfranchi & Lorini 2007) in realistic modeling of the many cognitive processes involved when humans process information.
“Two- and many-level views also occur at the interface of logic and cognitive science (Castelfranchi & Lorini 2007) in realistic modeling of the many cognitive processes involved when humans process information.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Castelfranchi & Lorini 2007
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisereasoning§ 8.1 Two-level syntax-semantics formats · p. 55This process can be described in the same sort of dynamic logic format used for epistemic logic in Section 3.
“This process can be described in the same sort of dynamic logic format used for epistemic logic in Section 3.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: Information states of agents have two different levels: (a) the current range of models or possible worlds, and (b) some current set of sentences true in these models which the agent has available right now.
Probably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Interpretationnone given§ there exists a justification for the formula f . · p. 56One coherent philosophical interpretation of these combined systems still remains to be found.
“This is all fine, but it has to be admitted that one coherent philosophical interpretation of these combined systems still remains to be found.”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Interpretationreasoning§ 8.3 Merging proof and observation: two-level dynamic logics · p. 57There may be other 'intermediate' actions with something of both internal inference and external observation.
“But the interesting point of the combination is that there may be other 'intermediate' actions with something of both.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. The quote only partly states this claim.
Premisecitation§ there exists a justification for the formula f . · p. 56The epistemic Distribution Axiom becomes the more informative statement that [formula] where # is some natural sum operation on proofs or pieces of evidence.
“Then, e.g., the ubiquitous (though philosophically controversial; Egré 2004) epistemic Distribution Axiom Ki (fÆ y) Æ (K i f Æ K i y) becomes the more informative statement that”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Egré 2004
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim.
Interpretationreasoning§ 7.5 Agent orientation once more! · p. 54Deduction seems informative only for people engaged in certain tasks.
“Thus, deduction seems informative only for people engaged in certain tasks”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 8.5 Coda: intuitionistic logic and modal information models · p. 60Information is not just about what things are like in some situation, but also how to get things done.
“As pointed out in Israel & Perry 1991, this notion is not just about what things are like in some situation, but also how to get thing things done.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Israel & Perry 1991
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 7.3 Logical syntax as information structure · p. 51Logical syntax might have natural information content where syntactic manipulation can increase information.
“All this is clever, and it suggests that logical syntax might have natural information content where syntactic manipulation can increase information.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationnone given§ 7.2 How can inference be informative ? · p. 51Other versions of this problem are known in the philosophy of science.
“Other versions of this problem are known in the philosophy of science.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationnone given§ 7.3 Logical syntax as information structure · p. 51In response to the challenge of information flow through deduction, various answers have been given.
“In response to the challenge of information flow through deduction, various answers have been given.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisecitation§ 7.3 Logical syntax as information structure · p. 51Inferences that stay close to the original syntax contain only 'surface information', those requiring full processing into normal form carry 'depth information'.
“Inferences that stay close to the original syntax contain only 'surface information', those requiring full processing into normal form carry 'depth information' - notions which have been elaborated in some numerical detail.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence.
Interpretationnone given§ 7.2 How can inference be informative ? · p. 50In practice, reasoning often trumps update.
“In practice, reasoning often trumps update.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Interpretationnone given§ 9 Conclusion: Logic as Information Theory · p. 62Agents play an essential role in information, and information is taken alone but more importantly in interaction with others.
“We also emphasized the essential role of agents, and the ways in which agents take information : alone, but much more importantly, in interaction with others.”
Quote in the paperSubstantial claimProbably not a substantial claim. It may be too vague to check against evidence. It may state two separate claims as one.
Interpretationreasoning§ 7.3 Logical syntax as information structure · p. 51So far, no coherent and generally useful notion of syntax-based information has evolved - partly because we have no general theory of syntax, abstracting away from details, which would provide the vehicle for this.
“So far, no coherent and generally useful notion of syntax-based information has evolved - partly because we have no general theory of syntax, abstracting away from details, which would provide the vehicle for this.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it.
Interpretationnone given§ 7.2 How can inference be informative ? · p. 51Inference is much like computation.
“Inference is much like computation, and one issue running through the chapter by Abramsky in this Handbook is how computation can provide information, and how abstract semantics can provide a handle on this.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisecitation§ 7.4 Proofs and information dynamics · p. 53In the earlier-mentioned dialogue games of Lorenzen 1955, proof rules are game moves, and proofs are winning strategies for players.
“For instance, in the earlier-mentioned dialogue games of Lorenzen 1955, proof rules are game moves , and proofs are winning strategies for players.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Lorenzen 1955 source
Probably not a substantial claim.
Interpretationnone given§ 8.6 Conclusion · p. 61There is no consensus on the precise integration of inferential and semantic views of information structure and information dynamics.
“Despite the abundance of promising ideas recorded in Sections 7 and 8, there is no consensus on the precise integration of inferential and semantic views of information structure and information dynamics.”
Quote in the paperSubstantial claimProbably not a substantial claim.
Interpretationnone given§ 9 Conclusion: Logic as Information Theory · p. 62Logic offers a view of information as code through proof systems and syntactic calculi that elucidate implicitly available semantic information by computing on suitable data structures.
“Finally, logic offers another major view of information as code through its proof systems and other syntactic calculi which elucidate implicitly available semantic information by computing on suitable data structures.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 8.5 Coda: intuitionistic logic and modal information models · p. 60Constructive proofs are both ways of seeing that a conclusion is true and methods for constructing the relevant objects.
“Indeed, ever since Euclid's 'Elements', constructive proofs are both ways of seeing that a conclusion is true and methods for constructing the relevant objects.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ there exists a justification for the formula f . · p. 56The 'logic of proofs' of Artemov 1994, 2005 is a modal language enriched with proof- or evidence-labeled assertions [x] f.
“Even closer to the epistemic logics of Sections 2, 3, the 'logic of proofs' of Artemov 1994, 2005 is a modal language enriched with proof- or evidence-labeled assertions [x] f.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Artemov 1994, 2005
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 7.1 Information as code and elucidation · p. 50Proof theory has its own natural levels of abstraction for dealing with information in type theory or category theory, making room for a variety of logics: classical, intuitionistic, or sub-structural.
“Moreover, it has its own natural levels of abstraction for dealing with information in type theory or category theory, making room for a variety of logics: classical, intuitionistic, or sub-structural (Prawitz 1965, Belnap 1982, Restall 2000).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Prawitz 1965
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Belnap 1982 source
- cites Restall 2000
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 58Jago 2007 presents an alternative take enriching possible worlds with non-standard valuations eliminated successively through inferential steps.
“49 Jago 2007 presents an alternative take on this, however, enriching the set of possible worlds with worlds carrying 'non-standard valuations' which are eliminated successively from the set of candidates through inferential steps.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Jago 2007
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 8.5 Coda: intuitionistic logic and modal information models · p. 60In type-theoretic calculi, proofs are definable function terms in some mathematical universe through the Curry-Howard isomorphism.
“In type-theoretic calculi, proofs are definable function terms in some mathematical universe through the Curry-Howard isomorphism.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Premisereasoning§ 7.4 Proofs and information dynamics · p. 53Impeccable evidence also comes from senses, memory, being told, etc., and these other sources were described in earlier semantic accounts of information without recasting as proof or computation.
“Impeccable evidence also comes from our senses, our memory, from being told, and so on. And these other sources were described rather well in our earlier semantic accounts of information, without any obvious recasting as proof or computation.”
Quote in the paperSubstantial claimProbably not a substantial claim. It may be too vague to check against evidence. It may state two separate claims as one.
Interpretationnone given§ 7.5 Agent orientation once more! · p. 54Syntax is a representation of information as used by some agent, including possible idiosyncrasies of formulation, and is useful only given particular powers for performing elucidation on her data.
“Syntax is clearly a representation of information as used by some agent , including possible idiosyncracies of formulation, and useful only given particular powers for performing elucidation on her data.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 8.1 Two-level syntax-semantics formats · p. 54One kind of proposal combines semantic and syntactic views by positing that information states of agents have two different levels: (a) the current range of models or possible worlds, and (b) some current set of sentences true in these models which the agent has available right now.
“One kind of proposal, in various guises, combines semantic and syntactic views. Suppose that information states of agents really have two different levels : (a) the current range of models or possible worlds, and (b) some current set of sentences true in these models which the agent has available right now.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: Information states of agents have two different levels: (a) the current range of models or possible worlds, and (b) some current set of sentences true in these models which the agent has available right now.
Probably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ Section 8 Semantics, Syntax and Proof: Merging Perspectives · p. 54The recent literature has seen a number of attempts toward combining syntactic and semantic views of information.
“Even though syntactic and semantic views of information seem far apart in spirit, the recent literature has seen a number of attempts toward combining them.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 7.3 Logical syntax as information structure · p. 51Hintikka 1973 proposed a way inside predicate logic for distinguishing levels of information in the syntactic analysis of a formula.
“For instance, Hintikka 1973 proposed a way inside predicate logic for distinguishing levels of information in the syntactic analysis of a formula.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Hintikka 1973
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. It may be too vague to check against evidence.
Interpretationnone given§ 9 Conclusion: Logic as Information Theory · p. 62The syntactic stance and its natural processes can live in harmony with the semantic ones.
“We have surveyed some ways in which the syntactic stance and its natural processes can live in harmony with the semantic ones.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Interpretationreasoning§ 8.1 Two-level syntax-semantics formats · p. 55Range-changing updates modify the lower level, while inference modifies the upper syntax component of the current state, and hence the information 'immediately present' to the agent.
“Range-changing updates modify the lower level, while inference modifies the upper syntax component of the current state, and hence the information 'immediately present' to the agent.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: Information states of agents have two different levels: (a) the current range of models or possible worlds, and (b) some current set of sentences true in these models which the agent has available right now.
Probably not a substantial claim. The paper may give no reason why it holds. It may state two separate claims as one.
Interpretationnone given§ 8.2 Merging calculi of proofs and evidence · p. 55Proof-theoretic and semantic perspectives on information are not in conflict: they complement each other.
“For a start, as we have said earlier, proof-theoretic and semantic perspectives on information are not in conflict: they complement each other.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Interpretationreasoning§ 7.2 How can inference be informative ? · p. 50When solving a puzzle, we do not just update information spaces, we also make appropriate deductions which highlight some important aspect of the solution, or at least, the road toward it.
“When solving a puzzle, we do not just update information spaces, we also make appropriate deductions which highlight some important aspect of the solution, or at least, the road toward it.”
Quote in the paperSubstantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Interpretationnone given§ 7.4 Proofs and information dynamics · p. 52By far the most sophisticated paradigm bringing out information flow in inference and computation is logical Proof Theory.
“By far the most sophisticated paradigm bringing out information flow in inference and computation, as we have noted already, is logical Proof Theory .”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. It may state two separate claims as one.
Interpretationnone given§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 58Proof theory and dynamic logics often address very similar issues and provide attractive solutions, whether in process theory or information dynamics, but the precise analogy between these two broad styles of thinking remains a bit of a mystery.
“Stated as an observation about information and computation in general, proof theory and dynamic logics often address very similar issues and provide attractive solutions, whether in process theory or information dynamics, but the precise analogy between these two broad styles of thinking remains a bit of a mystery.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ there exists a justification for the formula f . · p. 56Labeled deductive systems of Gabbay 1996 were designed as a general calculus of statements x: f, where the label x can stand for a proof, an observation, or any kind of evidence from any source, possibly with further information about reliability, probability, etc.
“to the much more general 'labeled deductive systems' of Gabbay 1996, which were designed as a general calculus of statements x: f , where the label x can stand for a proof, an observation, or indeed any kind of evidence from any source, possibly even with further information attached about reliability, probability, and so on, of the support that x offers to f .”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Gabbay 1996
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 7.4 Proofs and information dynamics · p. 53Viewed that way, proofs suddenly seem close to the dynamics we have placed at centre stage in this chapter.
“Viewed that way, proofs suddenly seem close to the dynamics we have placed at centre stage in this chapter.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds. It may state two separate claims as one.
Interpretationnone given§ 9 Conclusion: Logic as Information Theory · p. 61There are many dynamic processes in logical information, and they need not all reduce to one primitive (inference or update); hence logical views of information come in complementary kinds.
“Next, there are many such dynamic processes, which need not all reduce to one primitive: be it inference or update, and hence logical views of information come in complementary kinds.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper may give no reason why it holds.
Interpretationnone given§ 7.2 How can inference be informative ? · p. 50Deduction is clearly informative.
“For, deduction is clearly informative.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 59Sequoiah-Grayson 2007 is a spirited modern defense of the Lambek calculus as a minimal core system of information structure and information flow.
“Sequoiah-Grayson 2007 is a spirited modern defense of the Lambek calculus as a minimal core system of information structure and information flow.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Sequoiah-Grayson 2007
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. It may be too vague to check against evidence.
Interpretationreasoning§ 7.4 Proofs and information dynamics · p. 52Proof systems are a natural candidate for representing information structure at a syntactic level.
“Proof systems are a form of 'discourse syntax', generating ordered tree structures of sentences with their inferential links indicated, and hence they are a natural candidate for representing information structure at a syntactic level.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper may give no reason why it holds. It may state two separate claims as one.
Interpretationnone given§ 7.2 How can inference be informative ? · p. 51An inference step does not shrink the current information range, and it does not add to correlational constraints.
“An inference step does not shrink the current information range, and it does not add to correlational constraints.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ there exists a justification for the formula f . · p. 56Completeness theorems establish an equivalence between validity (an ∀-type notion) and provability (an ∃-type notion).
“But as we saw, the two views co-exist in logic! Completeness theorems establish an equivalence between validity (an”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 7.4 Proofs and information dynamics · p. 54In major systems like first-order logic, a formula f is true in all semantic models if and only if f has a syntactic proof.
“That there can be a significant connection seems clear from Gödel's completeness theorem which started off modern logic by showing how, in major systems like first-order logic, a formula f is true in all semantic models if and only if f has a syntactic proof.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Gödel's completeness theorem
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 7.4 Proofs and information dynamics · p. 53This dynamics seems in line with the constructivist, or intuitionist slant of many proof theories, where one thinks of proof as performed by human agents creating objects and moving through successive information stages in the course of a mathematical enquiry.
“This dynamics seems in line with the constructivist, or intuitionist slant of many proof theories (Dummett 1977, Troelstra & van Dalen 1988), where one thinks of proof as performed by human agents creating objects and moving through successive information stages in the course of a mathematical enquiry.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Dummett 1977
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Troelstra & van Dalen 1988
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
It may state two separate claims as one.
Interpretationreasoning§ 7.4 Proofs and information dynamics · p. 53Mathematical proof is a special way of establishing knowledge and is not a paradigm for all the different sorts of evidence humans manipulate.
“Mathematical proof is a very special way of establishing knowledge - and proofs, however elegant, hardly seem a paradigm for all the different sorts of evidence that humans manipulate, or the different ways in which they do so.”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Interpretationnone given§ 7.4 Proofs and information dynamics · p. 52Proof systems are a form of 'discourse syntax', generating ordered tree structures of sentences with their inferential links indicated.
“Proof systems are a form of 'discourse syntax', generating ordered tree structures of sentences with their inferential links indicated, and hence they are a natural candidate for representing information structure at a syntactic level.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 7.4 Proofs and information dynamics · p. 52The view of mathematical proof calculi as general systems of combining evidence for claims has been put forward forcefully since the 1970s by authors such as Dummett, Martin-Löf, and Prawitz.
“The view of mathematical proof calculi as general systems of combining evidence for claims has been put forward forcefully since the 1970s by authors such as Dummett, Martin-Löf, and Prawitz (cf. Sundholm 1986).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Sundholm 1986 source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ 7.2 How can inference be informative ? · p. 51Deductive consequences of a physical theory, such as Einstein's deduction for the perihelion perturbation of Mercury from the General Theory of Relativity, can uncover startling new information which a scientific community did not have before.
“E.g., much has been written about the way deductive consequences of a physical theory, such as Einstein's deduction for the perihelion perturbation of Mercury from the General Theory of Relativity (Fitelson 2006), can uncover startling new information which a scientific community did not have before.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Fitelson 2006
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. It may be too vague to check against evidence.
Interpretationreasoning§ 7.5 Agent orientation once more! · p. 54What is informative for me in this manner need not be informative for you.
“What is informative for me in this manner need not be informative for you.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Interpretationreasoning§ 7.2 How can inference be informative ? · p. 51There is a difficulty in saying just how the latter process can be informative.
“But there is a difficulty in saying just how the latter process can be informative.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ 8.2 Merging calculi of proofs and evidence · p. 55There are several ways of merging epistemic and proof-theoretic paradigms.
“There are several ways of merging epistemic and proof-theoretic paradigms.”
Quote in the paperNot a substantial claimProbably not a substantial claim. It may state two separate claims as one.
Interpretationnone given§ 9 Conclusion: Logic as Information Theory · p. 61Logical information has both static structure and dynamic processes, and these must be addressed in parallel with intertwined accounts.
“First, to get the real picture of logical information, one needs to address the statics and dynamics in parallel , with intertwined accounts of information structure and the dynamic processes which manipulate the latter.”
Quote in the paperSubstantial claimProbably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. It may state two separate claims as one.
Interpretationnone given§ 8.4 Abstract viewpoints: toward a deeper unification? · p. 59The above axioms merely encode the minimal properties of mathematical adjunctions, and these are so ubiquitous that they can hardly be seen as a substantial theory of information.
“While this is appealing, it has to be said that the above axioms merely encode the minimal properties of mathematical adjunctions, and these are so ubiquitous that they can hardly be seen as a substantial theory of information.”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Interpretationnone given§ there exists a justification for the formula f . · p. 56Knowledge consists in having evidence for a proposition, sometimes even a mathematical proof.
“In this sense, knowledge consists in having evidence for a proposition: sometimes, on an exceptionally clear Cartesian day, even a mathematical proof.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisenone given§ 7.3 Logical syntax as information structure · p. 51First-order formulas f describe the existence of objects with certain properties while excluding others, and these enumerations of object types can be unpacked level by level until the full quantifier nesting depth of f.
“First-order formulas f describe the existence of objects with certain properties while excluding others, and these enumerations of object types can be unpacked level by level until the full quantifier nesting depth of f .”
Quote in the paperNot a substantial claim
The authors state this as an assumption.
We now assume further semantic structure, in the form of a plausibility ordering of worlds as seen from some vantage point.
“We now assume further semantic structure, in the form of a plausibility ordering of worlds as seen from some vantage point:”
The paper relies on this without support.
There is a concrete reality with concrete parts but no concrete alternatives.
“Situation theory starts from a concrete reality, with concrete parts but no concrete alternatives.”
The paper relies on this without support.
Everything that exists, happens, or is true has its status because of the nature of this reality.
“But ultimately everything that exists, everything that happens, everything that is true, has its status because of the nature of this reality.”
The paper relies on this without support.
Information is a pervasive aspect of reality, prior to cognitive action.
“Information is a pervasive aspect of reality, prior to cognitive action.”
The paper relies on this without support.
Information is fine grained.
“due to the fact that information is fine grained”
The paper relies on this without support.
Reality is full of regularities, lawlike constraints between types of situations.
“reality is full of regularities, lawlike constraints between types of situations”
The paper relies on this without support.
Particular situations act as carriers of information.
“it is particular situations that act as carriers of information.”
The authors state this as an assumption.
For each situation type and each situation there is an Austinian proposition true just in case the situation is of that type.
“We assume that for each situation type and each situation there is an Austinian proposition true just in case the situation is of that type.”
The authors state this as an assumption.
For each type, there is a Russellian proposition true just in case some situation is of that type.
“For Russellian propositions, we shall assume that for each type, there is a proposition true just in case some situation is of that type.”
The authors state this as an assumption.
A given distributed system has dependencies.
“So far, we just assumed that a given distributed system has dependencies.”
The authors state this as an assumption.
Information states of agents have two different levels: (a) the current range of models or possible worlds, and (b) some current set of sentences true in these models which the agent has available right now.
“Suppose that information states of agents really have two different levels : (a) the current range of models or possible worlds, and (b) some current set of sentences true in these models which the agent has available right now.”
The paper relies on this without support.
There is no consensus on how to combine syntactic and semantic views of information, or on what can be achieved by such combinations.
“While there is no consensus on how to do this, or what can be achieved, we group a few approaches in this section, to introduce the reader to at least some challenges.”
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
The one-world model M3 is also described as having two worlds
MinorM3 is explicitly introduced as a one-world model, but the next sentence refers to "both worlds in M3."
“the following one-world model M3 :”
“as can be seen by identifying both worlds in M3 with the single one in M3 .”
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Parikh, R. (1995) · Lecture notes in computer science · doi:10.1007/3-540-60178-3_77 · Cited by 34
Defaults and revision in structured theories
Ryan, M. D. (2002) · ACM/IEEE Symposium on Logic in Computer Science (LICS) · doi:10.1109/lics.1991.151660 · Cited by 32
Information transfer across Chu spaces
van Benthem, J. (2000) · Logic Journal of IGPL · doi:10.1093/jigpal/8.6.719 · Cited by 30
Béziau, J.-Y., Leite, A. C., & Facchini, A. (2004) · Cited by 26
Saying It with Pictures: a logical landscape of conceptual graphs
Kerdiles, G. (2001) · UvA-DARE (University of Amsterdam) · Cited by 25
Fernández-Vega, J. M. S. (1997) · Bulletin of Symbolic Logic · doi:10.2307/421014 · Cited by 24
Modal Logic as a Theory of Information
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Corcoran, J. P. (2019) · Routledge eBooks · doi:10.4324/9780429433450-8 · Cited by 21
Guards, Bounds, and Generalized Semantics
van Benthem, J. (2005) · Journal of Logic, Language and Information · doi:10.1007/s10849-005-5786-y · Cited by 18
Self-citationPriest, G. (1997) · Notre Dame Journal of Formal Logic · doi:10.1305/ndjfl/1039540765 · Cited by 18
Bisimulation: from the origins to today
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Public communication in justification logic
Renne, B. (2010) · Journal of Logic and Computation · doi:10.1093/logcom/exq026 · Cited by 17
Dynamic logic of preference upgrade
van Benthem, J., & Liu, F. (2007) · Journal of Applied Non-Classical Logics · doi:10.3166/jancl.17.157-182 · Cited by 14
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Zhang, J., & Liu, F. (2007) · UvA-DARE (University of Amsterdam) · Cited by 9
Impossible Worlds - Editor's Introduction.
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Propositional Attitudes and Russellian Propositions
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Proofs, Labels and Dynamics in Natural Language
van Benthem, J. (1999) · Trends in logic · doi:10.1007/978-94-011-4574-9_3 · Cited by 4
Belief Merging based on Adaptive Interaction
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Arló‐Costa, H., & Pacuit, E. (2005) · Cited by 2
Situated nonmonotonic temporal reasoning with BABY-SIT
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First-Order Classical Modal Logic
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Flagged first, then by citations
Research works printed but not linked: 10
- P. Allo. On Logics and Being Informative, Ph.D. Thesis, Faculty of Arts, Vrije Universitéit Brussel, 2007.
- van Benthem, 1993, Reflections on Epistemic Logic, Logique et Analyse, 34, 5
- J. van Benthem. Tell It Like It Is: Information Flow in Logic, Philosophical Review, Beijing, 2007.
- Blarney, 2002, Partial Logic, Vol. 5, 261
- B. Fitelson. Old Evidence, Logical Omniscience and Bayesianism, Lecture ILLC Workshop Probability and Logic, Department of Philosophy, University of California at Berkeley, 2006.
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- Sequoiah-Grayson, 2006, Information Flow and Impossible Situations, Logique et Analyse, 196, 371
- S. Sequoiah-Grayson. Information Gain from Inference, Philosophical Institute, Oxford. To appear in Knowledge, Rationality and Action, 2007.
Cited by
Still being checked.
Metadata
- Authors
- van Benthem, J., & Martinez, M.
- Venue
- Philosophy of Information
- Publisher
- Elsevier
- Published
- 2008
- Pages
- 217-280
- OpenAlex
- W2140184658
- Semantic Scholar
- b5945499851524b9333ad12f607753caa910fc38
- Cited by
- 80
- References
- 149
- Citations by year
- 2024: 1 · 2023: 1 · 2022: 13 · 2021: 2 · 2020: 1 · 2019: 19 · 2018: 2 · 2017: 4 · 2016: 2 · 2015: 2 · 2014: 9 · 2013: 4 · 2012: 2
- FWCI
- 10.05
- Type
- book chapter
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Elsevier eBooks (publishedVersion)
- UvA-DARE (University of Amsterdam) (publishedVersion)
- Data Archiving and Networked Services (DANS) (submittedVersion, other-oa)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Logic, Reasoning, and Knowledge
- Social Sciences › Business, Management and Accounting › Management of Technology and Innovation › Scientific Research and Philosophical Inquiry
- Social Sciences › Arts and Humanities › Philosophy › Philosophy and Theoretical Science
- Keywords
- epistemic logic, situation theory, uncertainty, information updating, distributed systems
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
A language model drew the claims from the paper on 2026-10-28, under version 3 of the claim definition (model deepseek-v4.1-flash, prompt extract-v3).
A second model labelled each claim on 2026-10-28 (model jev-1.13-20260917, definition revision gold-guideline-v0.2).
Cited sources are checked with a language model’s help (gpt-6-sol).
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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