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A Subjectivist’s Guide to Objective Chance
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“This is a mechanism of global “subjective” (here in roughly the sense of “subjective Bayesian”) optimization, which does not always entail “objective” optimality, though it must approximate the latter reliably enough (cf., Lewis, 1980).”
From The Projective Consciousness Model and Phenomenal Selfhood (2018) · cites this paper as Lewis, 1980
Citations
Cites
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“They correspond to what is often labeled as "chance" in the literature (for instance, Lewis, 1980) and probability2 by Carnap (1945).”
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“This principle has been widely discussed in Bayesian epistemology and philosophy of science [29, 32, 38, 40, 41].”
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“In any case Lewis has no place for indeterminateness; his theory of probability is just like the one already stated for the consistent histories approach (Lewis 1983).”
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“It is commonly presupposed, albeit implicitly, that a person’s coherent degrees of belief concerning all the propositions she considers are to be represented by a joint probability distribution, which returns these degrees of belief as marginals; for notable examples, see Lewis’s [29] ‘A Subjectivist’s Guide to Object…”
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“See, e.g., Lewis ð1979Þ and Kaplan ð1989Þ for this line of thought.”
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“Furthermore, this requirement is in place only if the rational agents have no better source of information that trumps the chances; information is admissible iff it is ‘the sort of information whose impact on credence about outcomes comes entirely by way of credence about the chances of those outcomes’ [63, 92].”
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“In agreement with the tradition of classical statistics and the v. Neumann–Morgenstern expected utility theory of decision making under risk (or just EU theory for short), no subjective-probability framework is required, in contrast to Lewis (1980) , where information on propensities constrains the choice of subjectiv…”
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“…future observations consists in assigning subjective probabilities to those futures and for a stochastic theory which associates objective probabilities with those futures subjective probabilities are assigned on the basis of what David Lewis has called the Principal Principle (Lewis 1980, p. 266).”
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“…dictating that in normal circumstances, conditional subjective probabilities should be set equal to corresponding physical probabilities (Lewis 1980). most notably in the form of their convergence results, and yet the convergence results make some rather strong assumptions, which may…”
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“This is a world of “objective indeterminism” indeed, but one with no place for “objective chance” in the sense of David Lewis (1986). From within any part, the future is undetermined.”
BackgroundMaximising expected value under axiological uncertainty : an axiomatic approach
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“The name ‘principal principle’ has been coined by Lewis (1980); he suggested this principle not for statistical probabilities, but for objective single case chances.”
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“This objection is not very convincing though because our intuitions can be justified using the Principal Principle (Lewis 1980).”
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“…cognitivas y las teorías de la confirmación es que, en ambos sentidos, los puntos 13 Algunas sugerencias célebres desde la perspectiva bayesiana son que la credibilidad inicial de hipótesis debería estar restringida por ciertos principios; por ejemplo, Lewis (1980), Maher (1993), Williamson (2017).”
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“7 Cf. Hall (1994; 2004) and Lewis (1994).”
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“On the basis of a similar questionnaire, David Lewis (1986) put forward the following principle as a constraint on a reasonable initial credence function P , which is taken to be a probability function: Principal Principle.”
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“Carnap created ‘inductive logic’, [4], Hintikka developed numerical confirmation theory, [15], and Lewis moved happily from qualitative theories of conditionals to the principles of probabilistic update over time, [25].”
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“The Principal Principle (henceforth, PP) implies that if a rational agent (i.e., an agent whose opinions come from a reasonable initial credence function by conditionalizing on her total evidence) is certain that an event’s chance of occurring is n, then her credence (i.e., her degree of expectation) in that event is…”
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“For concreteness, let’s assume that 2T states that T is the best systematization of the sequence as measured by Lewis’s [1994] criteria of simplicity, strength, and fit – setting aside the worries raised in the previous section.”
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“David Lewis (1980) argued that the propensity and subjectivist views of probability can be reconciled, and that subjective probabilities should agree with objective propensities when the propensities are known.”
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“Yet, this is exactly what seems to happen in FAP theory: 14 Cf. Lewis (1980): “I think these people are making a rounding error: they fail to distinguish zero chance from infinitesimal chance.” to construct a probability function on the powerset of ℕ , one first takes the infinite limit of 𝑛 over functions on the powe…”
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“Examples of this strategy are the principle of indifference (Keynes 1921), the principle of maximum entropy (Jaynes 1983; Williamson 2007), or the Principal Principle ( Lewis 1980 ).”
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“For all practical purposes, we can treat such a probability as a well-defined and objective probability; roughly, a quantity that, were we to come to know it, we should let it guide our subjective probabilities (cf. Lewis 1980).”
BackgroundFrigg, R. (2017) · Oxford University Press eBooks · doi:10.1093/oxfordhb/9780199607617.013.24 · Cited by 4
“5 This point is often made in the context of statistical mechanics; for instance see Redhead (1995: 27–8). Lyon (2011) extends arguments of this kind to the probabilities we find in biology. 6 For discussion of the compatibility of propensities with determinism see Clark (2001) and Berkovitz (2013).”
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“Let us assume then, for the sake of argument, that belief can come by degrees with a probability measure [3], degrees which are therefore mostly called 'subjective probabilities' but which I, like Lewis [4], prefer to call credences.”
BackgroundPropensities and conditional probabilities
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“2[8].”
Metadata
- Authors
- Lewis, D.
- Affiliations
- Princeton University (US)
- Corresponding author
- Lewis, David
- ORCID
- Lewis, David
- Venue
- IFS
- Publisher
- Springer Netherlands
- Published
- 1980
- Pages
- 267-297
- OpenAlex
- W1510271585
- Cited by
- 799
- References
- 12
- Citations by year
- 2026: 5 · 2025: 8 · 2024: 19 · 2023: 13 · 2022: 47 · 2021: 29 · 2020: 42 · 2019: 32 · 2018: 35 · 2017: 42 · 2016: 39 · 2015: 47 · 2014: 58 · 2013: 32 · 2012: 58
- FWCI
- 76.27
- Type
- book chapter
- Language
- en
- Open access
- closed
- Locations
- Springer eBooks (publishedVersion)
- Topics
- Social Sciences › Arts and Humanities › Philosophy › Epistemology, Ethics, and Metaphysics
- Social Sciences › Arts and Humanities › Philosophy › Literary, Cultural, Historical Analysis
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Keywords
- objective chance, subjective probability, partial belief, degrees of belief, tritium decay, philosophy of probability, concept of chance
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