The nomological argument for the existence of God
Open accessAbstract
Observed regularities in nature may be best explained by the creative intentional action of a supernatural being; the authors present a prima facie rather than complete defense.
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AI snapshot
Written from the paper’s full text.
TL;DR
The paper develops a Bayesian nomological argument that lawlike regularities in nature are better explained by Divine Voluntarism than by Humeanism, Primitivism, or leading property-based non-Humean theories. It argues that Divine Voluntarism avoids both the Peril of Insufficient Structure and the Peril of Too Much Structure, though the authors present this as a partial defense rather than a complete case.
Key findings
- Divine Voluntarism is claimed to have a much higher likelihood for regularities than Humeanism: \(P(R|G) \gg P(R|H)\). The authors argue that Humean possible worlds are overwhelmingly irregular, while an intelligent creator might plausibly prefer order and regularity.
- Primitivism fails because it is isomorphic to Humeanism in its space of epistemic possibilities, so \(P(R|L)\) is low. Restricting primitive laws to regularity-producing laws is said to be metaphysically arbitrary and merely trades a higher likelihood for a lower prior.
- Property-based non-Humean theories (DTA, dispositionalism, natural kind essentialism) may explain mere order better than Primitivism, with \(P(O|N) \gg P(O|L)\), but they face the Peril of Too Much Structure: they struggle to explain sophisticated scientific regularities such as conservation laws, retention laws, functional laws, idealized laws, and the Past Hypothesis.
- Divine Voluntarism is presented as a middle ground: it has enough structure to predict regularities and enough flexibility to accommodate any scientific regularity. The authors also argue that its prior probability \(P(G)\) is non-negligible, so it beats the leading competitors considered, though they do not claim \(P(G|R) > .5\).
Methods
- The paper uses a philosophical, Bayesian explanatory framework, applying the odds form of Bayes’ theorem to compare posterior probabilities through likelihood ratios and prior ratios.
- It identifies and evaluates competing hypotheses about laws and regularities: Humeanism, Primitivism, property-based non-Humean theories, and Divine Voluntarism.
- It uses poker and simulated-poker analogies to illustrate explanatory virtues and perils, then estimates priors through a taxonomy of theories of natural necessity based on modesty and coherence. No precise numerical probabilities are assigned to the main hypotheses.
Limitations
- The authors state that they do not provide a full defense of the Nomological Argument; they assume that metaphysical explanation and probability assignments of the relevant sort are possible and do not engage objections to inference to the best explanation or the Principle of Indifference.
- They explicitly stop short of arguing that Divine Voluntarism is more probable than not, or that it establishes classical or Anselmian theism; their conclusion is only that it beats the leading competitors they consider.
- They acknowledge that they cannot examine all rivals, that a hypothetical property-based theory \(N^*\) remains a burden for opponents to develop, and that their argument relies on controversial claims about Humean likelihoods and divine preferences. The text also makes evident that no precise numerical priors or likelihoods are supplied.
Model-written summary. Check it against the paper before relying on it.
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Claims the paper makes
0 of 22 cited sources checked · 0 supported · 0 flagged
- Interpretationreasoning
Divine Voluntarism beats its leading competitors with respect to the two most-crucial explanatory virtues.
“we will identify the leading competing hypotheses and argue that Divine Voluntarism-the hypothesis that regularities are explained by a supernatural beingbeats them when it comes to two most-crucial explanatory virtues.”
Quote in the paperSubstantial claim - Interpretationreasoning
If we are capable of defending the explanatory superiority of any non-Humean theory of laws over Humeanism, then we should accept Divine Voluntarism.
“If you're worried about such objections, you may interpret our conclusion as a conditional: if we're capable of defending the explanatory superiority of any non-Humean theory of laws over Humeanism then we should accept Divine Voluntarism.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: It is possible to defend explanatory arguments along the sorts of lines used in the paper.
- Interpretationreasoning
P(R|G) is much greater than P(R|H).
“But given that P(R|H) is extremely low, P(R|G) >> P(R|H).”
Quote in the paperSubstantial claim- The authors state this as an assumption: The hypothesis that best explains an observation is the one with the highest posterior probability.
- Premisenone given
The observed parts of nature contain regularities involving a certain level of sophistication, such that they can be adequately described only with the language of mathematics.
“Rather, it is based on the more general claim that the observed parts of nature contain regularities involving a certain level of sophistication, such that they can be adequately described only with the language of mathematics.”
Quote in the paperNot a substantial claim - Premisenone given
Modern science would not be possible if there were no regularities.
“Arguably, modern science would not be possible if there were no regularities, so we can think of the Nomological Argument as an argument for the existence of a supernatural being based on the mere possibility of doing modern science.”
Quote in the paperNot a substantial claim
- Interpretationnone given
The leading non-Humean competitors to Divine Voluntarism have various explanatory shortcomings.
“We'll argue that the leading non-Humean competitors to Divine Voluntarism have various explanatory shortcomings.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Observed regularities in nature are best explained by an appeal to a supernatural being.
“According to the Nomological Argument, observed regularities in nature are best explained by an appeal to a supernatural being.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The hypothesis that best explains an observation is the one with the highest posterior probability.
- The authors state this as an assumption: It is possible to defend explanatory arguments along the sorts of lines used in the paper.
- Interpretationreasoning
An explanation based in the creative, intentional action of a supernatural being avoids the two perils whereas leading competitors do not.
“We argue that an explanation based in the creative, intentional action of a supernatural being avoids these two perils whereas leading competitors do not.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Property-based theories avoid the Peril of Insufficient Structure by positing modal relations among natural properties.
“These theories avoid the Peril of Insufficient Structure by positing modal relations among natural properties.”
Quote in the paperSubstantial claim - Interpretationreasoning
Primitivism is maximally flexible.
“Primitivism is maximally flexible.”
Quote in the paperNot a substantial claim - Premisereasoning
The former properties are more natural than the latter.
“The former are more natural than the latter.”
Quote in the paperNot a substantial claim - Interpretationnone given
Justifying a uniform probability function over possible worlds requires the claim that God would not care about higher-order properties at all.
“Justifying a uniform probability function over possible worlds requires the claim that God would not care about such higher-order properties at all.”
Quote in the paperNot a substantial claim - Interpretationreasoning
P(O|N) >> P(O|L).
“But if the preceding discussion is correct, it would appear that the likelihoods concerning order (O) are very different: P(O|N)>>P(O|L).”
Quote in the paperSubstantial claim- The authors state this as an assumption: The prior probability that some property-based theory is true is similar to that of Primitivism: P(N)=P(L).
- Interpretationreasoning
If God has the ability to recognize patterns, then patterns are a potential target for God's preferences.
“And if God has that ability, then patterns are, insofar as we can tell, a potential target for God's preferences.”
Quote in the paperSubstantial claim - Interpretationreasoning
P(R|L)P(L) = P(R|LR)P(LR).
“It is the same for Primitivism and Primitivism Restricted: P(R|L)P(L) = P(R|LR)P(LR).”
Quote in the paperSubstantial claim - Interpretationreasoning
The additional structure in property-based theories comes with a cost.
“But this additional structure comes with a cost.”
Quote in the paperSubstantial claim - Interpretationreasoning
Orderly worlds, and regular worlds, countenanced by Divine Voluntarism should receive a disproportionately large portion of the probability distribution.
“In fact, there is good reason to think that the orderly worlds (and as we'll argue in 4.2, regular worlds) countenanced by Divine Voluntarism should receive a disproportionately large portion of the probability distribution.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Most higher-order aesthetic properties require some degree of order.
“Second, we should accept P2 because most higher-order aesthetic properties require some degree of order.”
Quote in the paperSubstantial claim - Interpretationreasoning
The same requirement of order is true of bad-making moral properties.
“It is important to observe that the same is true of bad-making moral properties;”
Quote in the paperNot a substantial claim - Interpretationreasoning
Primitivism seems to avoid the Peril of Too Much Structure because for any law scientists might postulate, primitivists can posit a primitive law that produces the relevant regularity.
“Primitivism seems to avoid this peril: for any law that scientists might postulate, primitivists can simply posit a primitive law that produces the relevant regularity.”
Quote in the paperSubstantial claim - Interpretationnone given
Some aesthetic properties might be wholly independent of consciousness.
“But some aesthetic properties might be wholly independent of consciousness.”
Quote in the paperNot a substantial claim - Premisereasoning
Both Primitivism and Divine Voluntarism posit modal primitives with the goal of explaining regularities.
“Both theories posit modal primitives with the goal of explaining regularities.”
Quote in the paperSubstantial claim - Premisecitation
The most-familiar and least-controversial moral properties emerge from conscious states of thinking things.
“The most-familiar and least-controversial moral properties emerge from conscious states of thinking things.32”
Quote in the paperSubstantial claim - Interpretationnone given
P(O|N)>>P(O|L) does not entail P(R|N)>>P(R|L).
“while we're happy to grant that P(O|N)>>P(O|L), that doesn't entail that P(R|N)>>P(R|L).”
Quote in the paperNot a substantial claim- The authors state this as an assumption: P(O|N)>>P(O|L).
- Premisenone given
The more intelligent a being is, the more it values order per se and various goods that require order.
“As for experience concerning other minds, the more intelligent a being is, the more it values order per se and various goods that require order.”
Quote in the paperNot a substantial claim - Premisenone given
Entailment does not imply explanation.
“First, entailment does not imply explanation.”
Quote in the paperNot a substantial claim - Interpretationcitation
The restriction on primitive laws to statements that describe regularities is metaphysically arbitrary.
“The restriction is metaphysically arbitrary.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Hildebrand (2013)
- Interpretationreasoning
Given P1, God's preferences might be directed towards compressions of worlds rather than exhaustive point-by-point micro-level descriptions of worlds themselves.
“Given P1, God's preferences might be directed towards compressions of worlds rather than exhaustive point-by-point micro-level descriptions of worlds themselves.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Property-based theories appear to be better equipped to explain order than Primitivism.
“As a result, property-based theories appear to be better equipped to explain order than Primitivism.”
Quote in the paperSubstantial claim - Interpretationreasoning
No property-based theory is thought to offer a satisfying solution to all the difficulties concerning sophisticated laws.
“Solutions have been proposed, but we're not aware of a property-based theory that is thought to offer a satisfying solution to all of these difficulties.”
Quote in the paperSubstantial claim - Premisecitation
The vast majority of possible sequences of 1s and 0s that are 48 digits long are incompressible.
“The vast majority of such sequences are incompressible (see, for example, Chaitin (1966; 1969), and Chaitin (2007) for an accessible overview).”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Chaitin (1966; 1969)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Chaitin (2007) source
- Interpretationreasoning
Since God is intelligent, God's preferences might be directed toward higher-order emergent properties instead of first-order property distributions only.
“Since God is intelligent, God's preferences might be directed toward such targets, instead of being directed toward first-order property distributions only.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Primitivism's maximal flexibility leads to the Peril of Insufficient Structure.
“However, as we saw in Section 2, that leads to the Peril of Insufficient Structure.”
Quote in the paperSubstantial claim - Premisereasoning
Aesthetic properties often supervene on coherence and unity, both synchronically and over time, and on mere persistence.
“Aesthetic properties often supervene on coherence and unity, both synchronically and over time, and on mere persistence.”
Quote in the paperSubstantial claim - Premisenone given
Property-based theories incorporate primitive modal connections into networks of natural properties.
“Propertybased theories incorporate primitive modal connections into networks of natural properties.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Property-based accounts appear to avoid the Peril of Insufficient Structure because they constrain lawhood to statements of patterns.
“Property-based accounts do appear to avoid the Peril of Insufficient Structure, because they constrain lawhood to statements of patterns.”
Quote in the paperNot a substantial claim - Interpretationnone given
If we know nothing else about God but are deciding how likely he is to prefer to create an orderly world, we should assign confidence indifferently across preferences, not across worlds.
“And clearly if we know nothing else about God, but are deciding how likely he is to prefer to create an orderly world, we should assign confidence indifferently across preferences, not across worlds.”
Quote in the paperNot a substantial claim - Interpretationreasoning
A being whose aesthetic preferences are directed towards higher-order properties is more likely to prefer order, because there are more aesthetically interesting differences among orderly possibilities.
“This is to say, a being whose aesthetic preferences are directed towards higher-order properties is more likely to prefer order, simply because there are more aesthetically-interesting differences among orderly possibilities.”
Quote in the paperNot a substantial claim - Interpretationreasoning
P1 and P2 entail that the probability function capturing God's preferences privileges orderly worlds such that P(O|G) >> P(O|H).
“These premises entail that the probability function that captures God's preferences privileges orderly worlds in such a way that P(O|G) >> P(O|H).”
Quote in the paperNot a substantial claim - Interpretationreasoning
If any necessary connection holds among natural properties, it seems inevitable that a pattern will result, at least in the long run.
“If any necessary connection holds among natural properties, it seems inevitable that a pattern will result, at least in the long run.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The metaphysical restrictions of property-based theories have turned out to be too restrictive.
“The problem, in short, is that the metaphysical restrictions of property-based theories have turned out to be too restrictive.”
Quote in the paperSubstantial claim - Interpretationnone given
A mere relaxing of constraints on property-based theories does not make it particularly likely that we would observe regularities as opposed to mere patterns.
“A mere relaxing of constraints on property-based theories doesn't make it particularly likely that we'd observe regularities as opposed to mere patterns.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The possibility of God having preferences for higher-order emergent properties follows from the concept of mind itself.
“It seems to follow from the concept of mind itself.”
Quote in the paperNot a substantial claim - Premisereasoning
Some properties (classes) seem to capture genuine similarity; others do not.
“In sum, some properties (classes) seem to capture genuine similarity; others do not.”
Quote in the paperNot a substantial claim - Interpretationreasoning
God is likely to have a preference for orderly worlds.
“This concludes our argument for why God would be likely to have a preference for orderly worlds.”
Quote in the paperNot a substantial claim - Premisecitation
Property-based theories such as dispositionalism and natural kind essentialism struggle to explain sophisticated regularities or laws, including conservation laws, retention laws, functional laws, idealized laws, and lawlike boundary conditions such as the Past Hypothesis.
“it has been argued: that dispositionalists and natural kind essentialists struggle to explain conservation laws; 23 that dispositionalists struggle to explain retention laws (namely, the regularity that things are disposed to retain their dispositions over time in the absence of interferences); 24 and that all property-based accounts struggle to explain functional laws, 25 idealized laws, 26 and”
Quote in the paperSubstantial claim0 of 3 sources checked - Interpretationreasoning
When it comes to the Peril of Insufficient Structure, property-based theories appear to have an advantage over Primitivism.
“Thus, when it comes to the Peril of Insufficient Structure, we'll grant that property-based theories appear to have an advantage over Primitivism.”
Quote in the paperSubstantial claim - Interpretationreasoning
P(R|L) is low for the same reasons that P(R|H) is low.
“Thus, we may conclude that P(R|L) is low for the same reasons that P(R|H) is low.”
Quote in the paperSubstantial claim - Premiseown data
Sometimes highly orderly sequences are not only compressible but compressible in many ways, with measurable relative degrees of compressibility.
“But as an examination of sequence A illustrates, sometimes highly orderly sequences are not only compressible but are indeed compressible in many ways, where we can measure the relative degrees of compressibility (some compressions are shorter than others).”
Quote in the paperSubstantial claim - Interpretationreasoning
There is reason to expect an arbitrarily selected property-based law to give rise to some sort of order.
“However, there is reason to expect an arbitrarily selected property-based law to give rise to some sort of order.”
Quote in the paperNot a substantial claim - Interpretationnone given
Primitivism and Humeanism are perfectly isomorphic.
“The problem is that Primitivism and Humeanism are perfectly isomorphic.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Even if there is no special reason to think God would share our values, higher-order emergent properties seem to be perfectly legitimate intentional targets.
“Again, even if there's no special reason to think that God would in fact share our values, higher-order emergent properties seem to be perfectly legitimate intentional targets, so to speak.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The physical basis of moral properties requires an extremely high degree of order, namely the sort of order required for complex functional properties exemplified by brain states.
“The physical basis of moral properties requires an extremely high degree of order-namely, the sort of order required for the realization of complex functional properties exemplified in our world by brain states.”
Quote in the paperSubstantial claim - Interpretationreasoning
There is good reason to think the ontology of Divine Voluntarism does not require a uniform probability distribution over possible worlds compatible with Divine Voluntarism.
“However, there is good reason to think that the ontology of Divine Voluntarism does not require a uniform probability distribution over possible worlds compatible with Divine Voluntarism.”
Quote in the paperSubstantial claim - Interpretationreasoning
Procedure (2) is more likely than Procedure (1) to actualize an orderly world, because there are more ways to accurately and completely describe orderly worlds than disorderly worlds.
“Procedure (2) is more likely than Procedure (1) to actualize an orderly world, simply because there are more ways to accurately and completely describe orderly worlds than to describe disorderly worlds.”
Quote in the paperSubstantial claim - Interpretationreasoning
The move from Humeanism to Primitivism is unhelpful in the same way that the move from IA to DA is unhelpful.
“The move from Humeanism to Primitivism is unhelpful in the same way that the move from IA to DA is unhelpful.”
Quote in the paperNot a substantial claim - Interpretationreasoning
If a theory has too many constraints, it will not have the flexibility required to explain the regularities featured in our best scientific theories; this is the Peril of Too Much Structure.
“If we have too many constraints, our theory will not have the flexibility required to explain the regularities featured in our best scientific theories.Call this the Peril of Too Much Structure.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Since we have the ability to recognize patterns, probably God does too.
“Since we have the ability to recognize patterns, probably, so does God.”
Quote in the paperNot a substantial claim - Premisereasoning
Primitivism and Divine Voluntarism are versions of non-Humeanism, since both invoke a primitive sort of necessity that imposes structure on the natural world.
“Primitivism and Divine Voluntarism are versions of non-Humeanism, since both invoke a primitive sort of necessity that imposes structure on the natural world.”
Quote in the paperSubstantial claim - Premisereasoning
The distinction between indeterminism and determinism is meaningless as far as epistemic probabilities are concerned.
“Second, the distinction between indeterminism and determinism is meaningless as far as epistemic probabilities are concerned.”
Quote in the paperSubstantial claim - Interpretationreasoning
Moral properties require some degree of order.
“First, we should accept P2 because moral properties require some degree of order.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The specific ways property-based theories incorporate naturalness constrain the kinds of patterns they can explain, so they cannot offer a satisfying explanation of regularities with the sophisticated structure R.
“But the specific ways in which they incorporate naturalness have the additional effect of constraining the kinds of patterns that they can explain, so that they are unable to offer a satisfying explanation of regularities with the more sophisticated structure R that is of interest to us.”
Quote in the paperNot a substantial claim - Premisenone given
There is a wide range of aesthetically different properties among various orderly arrangements.
“In contrast, there seems to be a wide range of aesthetically different properties among the various orderly arrangements.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Sinhababu's example of mind-friendly laws does not pose any problems for the Nomological Argument.
“Thus, Sinhababu's example of mindfriendly laws doesn't pose any problems for the Nomological Argument.”
Quote in the paperSubstantial claim- The authors state this as an assumption: God has power over the content of psycho-physical laws.
- The authors state this as an assumption: Sinhababu's case is possible.
- The authors state this as an assumption: Sinhababu's objection succeeds against the Fine-Tuning Argument.
- Interpretationreasoning
We see no reason to think that non-creator God worlds get the lion's share of the probability and creator God worlds get almost none.
“We see no reason to think that we should partition these two versions of Divine Voluntarism as follows: The non-creator God worlds get the lion's share of the probability, and the creator God worlds get almost none.”
Quote in the paperNot a substantial claim - Interpretationreasoning
A preference for regularity fits with what we know about other minds, at least insofar as more capable minds tend to have an interest in more sophisticated patterns.
“Well, a preference for regularity seems to fit with what we know about other minds as well, at least insofar as more capable minds tend to have an interest in more sophisticated patterns (when they can find them).”
Quote in the paperNot a substantial claim - Interpretationreasoning
Moral properties are exhibited to a lesser extent in simple environments.
“Moral properties are exhibited to a lesser extent in simple environments.”
Quote in the paperSubstantial claim - Interpretationreasoning
Most moral properties require order, for example the kind of patterns of brain states that realize mental states.
“In 4.1, we argued that most moral properties require order-for example, the kind of patterns of brain states that realize mental states.”
Quote in the paperSubstantial claim - Interpretationreasoning
It does not follow that non-creator gods have no reason to care about order.
“It doesn't follow that they have no reason to care about order.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: Non-creator gods have less reason to care about the order of nature.
- Interpretationreasoning
Divine Voluntarism appears to provide the middle ground we are looking for.
“Thus, Divine Voluntarism appears to provide the middle ground we're looking for.”
Quote in the paperNot a substantial claim - Interpretationnone given
One's options for helping or harming others in simple in-game environments are much narrower than in the actual world and in other worlds with scientific regularities.
“One's options are much narrower than your options for helping or harming others in the actual world and in other worlds with scientific regularities.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Unlike competing versions of non-Humeanism, Divine Voluntarism avoids both perils.
“We've argued that, unlike competing versions of non-Humeanism, Divine Voluntarism avoids both perils.”
Quote in the paperSubstantial claim - Interpretationreasoning
God is more likely than chance to have preferences for regularities.
“At least, God is more likely than chance to have preferences for them.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Most aesthetic properties seem to require regularities.
“Though it's plausible that some aesthetic properties don't depend on consciousness-consider the simple patterns of Piet Mondrian-most aesthetic properties seem to require regularities.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The possibility of having preferences about regularity or higher-order properties at all means God is more likely than chance to prefer an orderly universe.
“basically, the possibility of having preferences about regularity or higher-order properties at all means God is more likely than chance to prefer an orderly universe.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Divine Voluntarism is not in the same boat as property-based theories when it comes to the Peril of Too Much Structure.
“As a result, Divine Voluntarism is not in the same boat as property-based theories when it comes to the Peril of Too Much Structure.”
Quote in the paperSubstantial claim - Interpretationreasoning
In merely orderly worlds, functional realization of the mental from the physical is off the table, so such worlds will have to be dualistic.
“Functional realization involved in the mental emerging from the physical is off the table, so presumably such worlds will have to be dualistic.”
Quote in the paperNot a substantial claim - Interpretationreasoning
It is reasonable to assign Divine Voluntarism a non-negligible intrinsic and therefore prior probability.
“Further, we've argued that it's reasonable to assign Divine Voluntarism a non-negligible intrinsic and therefore prior probability”
Quote in the paperNot a substantial claim- The authors state this as an assumption: Extant objections to non-Humeanism in general and to explanatory arguments in general are unsuccessful.
- Interpretationreasoning
We should grant roughly equal intrinsic probability to Humeanism and non-Humeanism.
“As a result, we should grant roughly equal intrinsic probability to both.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Divine Voluntarism has a sufficiently high prior probability that it does indeed provide a better explanation of regularities than the competing theories considered.
“We conclude that Divine Voluntarism has a sufficiently high prior probability that it does indeed provide a better explanation of regularities than the competing theories we've considered.”
Quote in the paperSubstantial claim - Interpretationreasoning
If the limited being is far less impressive, it is unclear that the Limited Voluntarism hypothesis offers a very good explanation of regularities.
“On the other hand, if the limited being is far less impressive then it's unclear that the hypothesis offers a very good explanation of regularities.”
Quote in the paperNot a substantial claim - Interpretationreasoning
If there are no intrinsic epistemic probabilities, the Monty Hall judgment that one should switch is puzzling.
“But this judgment is puzzling if there are no such things as intrinsic, epistemic probabilities.”
Quote in the paperNot a substantial claim - Interpretationnone given
If Divine Voluntarism is true, then there is a sense in which all events have an explanation in terms of God's intentional action.
“If Divine Voluntarism is true, then there is a sense in which all events have an explanation in terms of God's intentional action.”
Quote in the paperNot a substantial claim - Interpretationnone given
We can make a number of points that weigh in favor of setting P(G) close to Pi(G).
“However, we can make a number of points that weigh in favor of setting P(G) close to Pi(G).”
Quote in the paperNot a substantial claim - Interpretationnone given
A merely intelligent god is still not very unlikely to want to create regularities, even if it has evil intentions.
“but as we argued in Section 4, we think that a merely intelligent god is still not very unlikely to want to create regularities, even if it has evil intentions.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Divine Voluntarism has a reasonably high intrinsic probability.
“We argue that Divine Voluntarism has a reasonably high intrinsic probability”
Quote in the paperNot a substantial claim- The authors state this as an assumption: There are objective, epistemic, intrinsic probabilities.
- The authors state this as an assumption: The probabilities are interpreted as objective epistemic probabilities.
- Interpretationreasoning
The hypothesis of a merely intelligent God is much less susceptible to the Problem of Evil.
“The hypothesis of a”
Quote in the paperSubstantial claim - Interpretationnone given
Divine Voluntarism's structure is sufficiently flexible that it can explain any regularity that has been or could be devised by natural scientists, unlike certain property-based theories of laws.
“But its structure is sufficiently flexible that it can explain any regularity that has been or could be devised by natural scientists (unlike certain property-based theories of laws).”
Quote in the paperSubstantial claim - Interpretationreasoning
Any a posteriori argument for one metaphysical hypothesis over another will have to rely on intrinsic probabilities of the sort defended in the paper.
“In general, this is to say that any a posteriori argument for one metaphysical hypothesis over another (of the sort we are considering here) will have to rely on intrinsic probabilities of the sort we've defended.”
Quote in the paperSubstantial claim - Interpretationreasoning
As a result, the likelihoods P(R|L) and P(R|N) are too low to provide a good explanation of regularities.
“As a result, the likelihoods P(R|L) and P(R|N) are too low to provide a good explanation of regularities.”
Quote in the paperSubstantial claim - Interpretationnone given
A theistic God seems likely to want to create regularities so that it can create important moral or aesthetic properties.
“A theistic God seems likely to want to create regularities (so that it can create important moral or aesthetic properties)”
Quote in the paperNot a substantial claim - Interpretationnone given
Divine Voluntarism is a weaker, and thus a priori more plausible, explanatory hypothesis than one required for standard design arguments.
“However, in part because Divine Voluntarism is a weaker (and thus a priori more plausible) explanatory hypothesis than one required for standard design arguments, we think that it's worthwhile to engage in this project.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Divine Voluntarism offers a better explanation of natural regularities than its most-prominent competitors do.
“We have argued that Divine Voluntarism offers a better explanation of natural regularities than its most-prominent competitors do.”
Quote in the paperSubstantial claim - Interpretationreasoning
Divine Voluntarism's intrinsic probability is high enough to confer a sufficiently high prior probability for Divine Voluntarism, prior to considering other relevant arguments about the existence of supernatural beings, that it beats its leading competitors.
“We hold that its intrinsic probability is high enough, in turn, to confer a sufficiently high prior probability for the hypothesis of Divine Voluntarism-i.e. prior to considering other relevant arguments about the existence of supernatural beings-that it beats its leading competitors.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: There are objective, epistemic, intrinsic probabilities.
- The authors state this as an assumption: The probabilities are interpreted as objective epistemic probabilities.
- Interpretationreasoning
Although Humeanism and non-Humeanism involve different primitives, in their most general form they exhibit a sort of symmetry.
“Thus, although they involve different primitives, the two theories in their most general form exhibit a sort of symmetry.”
Quote in the paperSubstantial claim - Interpretationreasoning
The argument that the prior probability of Divine Voluntarism is much lower because we should not equally partition between intentional and non-intentional governance begs the question.
“But this argument begs the question.”
Quote in the paperSubstantial claim - Interpretationreasoning
Humeanism and non-Humeanism appear equally modest.
“They appear equally modest as well.”
Quote in the paperSubstantial claim - Interpretationreasoning
Divine Voluntarism seems to be just as coherent and modest as its relevant competitors.
“Divine Voluntarism seems to be just as coherent and modest as its relevant competitors.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Divine Voluntarism has enough internal structure that it predicts regularities, as opposed to irregularities, as Humeanism and Primitivism predict.
“It has enough internal structure that it predicts regularities (as opposed to irregularities, as Humeanism and Primitivism predict).”
Quote in the paperSubstantial claim - Interpretationreasoning
The prior probability of Divine Voluntarism is sufficiently high to block the objection that it is too implausible.
“In this section, we argue that the prior probability of Divine Voluntarism is sufficiently high to block this objection.”
Quote in the paperSubstantial claim - Interpretationreasoning
Even if principles of ontological parsimony are granted, it is implausible that they would have sufficient impact to take us from a non-negligible intrinsic probability to a truly negligible prior.
“but even if we grant them, it seems implausible that they would have sufficient impact to take us from a non-negligible intrinsic probability to a truly negligible prior.”
Quote in the paperNot a substantial claim - Interpretationreasoning
The likelihood P(R|G) is much higher than the likelihoods of any other theories considered thus far.
“The likelihood P(R|G) is much higher than the likelihoods of any other theories we've considered thus far.”
Quote in the paperSubstantial claim - Interpretationreasoning
Even if one has a prior epistemic probability that the car is behind some particular door, it cannot be because of any specific item of evidence.
“Therefore, even if you do have some prior epistemic probability that the car would be behind some particular door, it can't be because of any specific item of evidence.”
Quote in the paperSubstantial claim - Interpretationreasoning
Divine Voluntarism does not require a theistic god.
“However, Divine Voluntarism does not require a theistic god.”
Quote in the paperSubstantial claim - Interpretationreasoning
Humeanism and non-Humeanism appear equally coherent.
“Pace Hume, they appear equally coherent.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Insofar as the divisions seem fairly natural, all such theories ought to receive a non-negligible intrinsic probability.
“Insofar as these divisions seem fairly natural-that is, insofar as they involve highly general theories that appear to be of similar modesty-all such theories ought to receive a non-negligible intrinsic probability.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The sum of the probabilities of mutually exclusive and jointly exhaustive individual disjuncts within some proposition cannot exceed the probability of that disjunctive proposition itself.
- Interpretationreasoning
Without invoking intrinsic probabilities, it is difficult to justify assigning a prior probability of 1/3 to each door.
“But without invoking intrinsic probabilities, it is difficult to justify the choice to assign a prior probability of ⅓ to each door.”
Quote in the paperNot a substantial claim - Interpretationnone given
Intrinsic probabilities can be understood and defended as objective.
“We've argued that such probabilities can be understood and defended as objective”
Quote in the paperSubstantial claim - Interpretationreasoning
The version of Limited Voluntarism that posits regularities in physical base reality is of little relevance to the Nomological Argument because it pushes the explanatory problem back a level.
“This version of Limited Voluntarism is of little relevance to the Nomological Argument.Because it posits regularities in the physical base reality, it simply pushes the explanatory problem back a level.”
Quote in the paperSubstantial claim - Interpretationreasoning
Given the generality and modesty of Divine Voluntarism, any reasonable way of carving up the space of possible hypotheses should deliver the same result of non-negligible intrinsic probability.
“Given the generality and modesty of Divine Voluntarism, any reasonable way of carving up our space of possible hypotheses should deliver this same result.”
Quote in the paperNot a substantial claim - Interpretationreasoning
Panpsychism has some structural similarities to the theories of Lange (2009) and Whittle (2009), so it is susceptible to the Peril of Insufficient Structure as well.
“Panpsychism has some structural similarities to the theories ofLange (2009) andWhittle (2009), so we are inclined to think that it is susceptible to the Peril of Insufficient Structure as well.”
Quote in the paperNot a substantial claim0 of 2 sources checked
- Classified as probably not a substantial claim. 62
- May combine two claims. 54
- The quote only partly states this claim. 1
Probably not a substantial claim: may not pass S4 (based). May combine two claims.
Premisenone givenA successful explanation must avoid two perils: providing too little structure, which predicts a universe without regularities, and providing too much structure, which precludes an explanation of certain types of lawlike regularities featured in modern scientific theories.
“A successful explanation must avoid two perils.Some explanations provide too little structure, predicting a universe without regularities.Others provide too much structure, thereby precluding an explanation of certain types of lawlike regularities featured in modern scientific theories.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningDivine Voluntarism G is better than Humeanism H, because although it may have a lower prior (P(G)<P(H)), it has a vastly higher likelihood (P(R|G)>>P(R|H)).
“Divine Voluntarism G is better than Humeanism H, because although it may have a lower prior (P(G)<P(H)), it has a vastly higher likelihood (P(R|G)>>P(R|H)).”
Quote in the paperSubstantial claim- The authors state this as an assumption: The hypothesis that best explains an observation is the one with the highest posterior probability.
- The authors state this as an assumption: P(H) > P(G).
May combine two claims.
InterpretationreasoningP(R|H) is extremely low, because regularities occur in only a miniscule proportion of Humean possible worlds.
“Thus, P(R|H) is extremely low, because regularities occur in only a miniscule proportion of Humean possible worlds.”
Quote in the paperSubstantial claim- The authors state this as an assumption: The hypothesis that best explains an observation is the one with the highest posterior probability.
Classified as probably not a substantial claim.
PremisecitationThe objection due to Hildebrand is that Primitivism simply pushes the explanatory problem back a level.
“The objection we present is due to Hildebrand (2013), and it's based on the idea that Primitivism simply pushes the explanatory problem back a level.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Hildebrand (2013)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenPredicates used in scientific descriptions of regularities are more natural than their gruesome analogues.
“We think it's evident that the predicates used in scientific descriptions of regularities are more natural than their gruesome analogues.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningMore work is needed to show that non-Humean property-based theories can explain regularities.
“More work is needed to show that non-Humean propertybased theories can explain regularities.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisereasoningPrimitivism entails a set of possible worlds isomorphic to that of Humeanism, and like Humeanism its ontology seems to require a uniform probability distribution over possible laws and worlds, so it confers no explanatory advantages over Humeanism.
“It entails a set of possible worlds isomorphic to that of Humeanism.And like Humeanism, its ontology seems to require a uniform probability distribution over possible laws (and thus over possible worlds), with the result that it confers no explanatory advantages over Humeanism.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationcitation'Eternal' is a natural predicate in Lewis's sense, and 'H' and 'J' are non-natural, indeed gruesome.
“One obvious answer to give is that 'eternal' is a natural predicate in Lewis's (1983) sense, and 'H' and 'J' are non-natural, indeed, gruesome.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Lewis 1983 source
May combine two claims.
Premisenone givenMoral goods generally supervene on sentience over time, intentions over time, and preferences over time; some alleged moral goods such as fairness, desert, and equality supervene on large-scale synchronic properties.
“Moreover, moral goods generally supervene on sentience over time, intentions over time, and preferences over time, and some alleged moral goods (such as fairness, desert, and equality) supervene on large-scale synchronic properties.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenP1: God might have certain higher-order preferences, including preferences directed towards higher-order emergent properties, moral and aesthetic properties, patterns, or the content of laws themselves.
“P1: God might have certain higher-order preferences-that is, preferences directed towards higher-order emergent properties, including moral and aesthetic properties but perhaps others besides, or preferences concerning patterns or the content of laws themselves.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningA hypothetical property-based theory N* might founder on the Peril of Insufficient Structure if it allowed nomic relations of arbitrary complexity or allowed nomic relations to relate non-natural properties.
“N* might founder on the Peril of Insufficient Structure, analogously to Primitive Laws.Suppose, for example, that we allowed nomic relations of arbitrary complexity, or that we allowed nomic relations to relate non-natural properties.”
Quote in the paperNot a substantial claimMay combine two claims.
Premisenone givenMassively disorderly worlds do not have compressions, but orderly worlds do.
“Massively disorderly worlds don't have compressions, but orderly worlds do.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningSince Humeanism doesn't offer a satisfying explanation of regularities, neither does Primitivism.
“Since Humeanism doesn't offer a satisfying explanation of regularities, neither does Primitivism.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningProperty-based theories prevent attaching the 'it is a law that' operator to arbitrary sentences but also seem to prevent attaching it to sentences describing regularities.
“To their credit, they prevent us from attaching the 'it is a law that' operator to arbitrary sentences.But they seem to prevent us from attaching it to sentences describing regularities as well.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningPrimitivism allows a sentence D describing particular matters of fact at a wholly disorderly world to be a statement of law, but property-based theories seem not to allow this.
“Primitivism allows D to be a statement of law, but property-based theories seem not to allow this, since there is no clear way to translate D into a statement about nomic relations between universals, fundamental dispositions, or natural kinds.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningIntelligent beings can and do have preferences directed towards higher-order emergent properties, and towards value properties in particular.
“Our point, in short, is simply that intelligent beings can and do have preferences directed towards higher-order emergent properties (and towards value properties in particular).”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
InterpretationreasoningDivine Voluntarism appears to have less structure and more flexibility than property-based theories, since any regularity scientists could posit could be a regularity God could will.
“But it appears to have less structure-and more flexibility-than property-based theories, since it seems that any regularity that scientists could posit could be a regularity that God could will.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
InterpretationreasoningDivine Voluntarism has more structure than Primitivism because it countenances God's power and God's will.
“It has more structure than Primitivism, since it countenances God's power and God's will.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S4 (based). May combine two claims.
Interpretationnone givenA property-based theory N* that can accommodate regularities might be considerably more specific than property-based theories in general, so P(N*) might be considerably less than P(N).
“Moreover, a propertybased theory N* that can accommodate regularities might be considerably more specific than property-based theories in general, and thus P(N*) might be considerably less than P(N).”
Quote in the paperNot a substantial claimMay combine two claims.
Premisenone givenNon-sentient beings do not value order at all; sentient beings have some preference for order and some preference for moral and aesthetic goods.
“Non-sentient beings don't value order at all.Sentient beings have some preference for order, and some preference for moral and aesthetic goods.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenP2: The vast majority of possible higher-order preferences require orderly worlds.
“P2: The vast majority of possible higher-order preferences require orderly worlds.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningEven if some property-based theory can explain regularities in modern science, Divine Voluntarism may offer a better explanation because P(R|G) > P(R|N*) or because P(G) > P(N*).
“So even if some property-based theory is capable of explaining regularities in modern science, it may be that Divine Voluntarism offers a better explanation-either because P(R|G) > P(R|N*) or because P(G) > P(N*).”
Quote in the paperSubstantial claimMay combine two claims. The quote only partly states this claim.
Interpretationnone givenAlthough property-based theories have explanatory power over toy patterns such as 'all Fs are Gs', they do not have explanatory power over the sophisticated sorts of regularities featured in modern science.
“In other words, although such theories have explanatory power over toy patterns such as”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenIt seems reasonable that an intelligent being might care about properties of compressions.
“Further, it seems reasonable that an intelligent being might care about properties of compressions.”
Quote in the paperNot a substantial claimMay combine two claims.
PremisereasoningHumeanism cannot explain order or regularities because its set of possible worlds has vastly more disorderly or irregular worlds than orderly or regular worlds, and its ontology seems to require a uniform probability distribution across Humean possible worlds.
“Recall that Humeanism can't explain order (or regularities, for that matter), because (i) the set of possible worlds it entails has vastly more disorderly (or irregular) worlds than orderly (or regular) worlds and (ii) the ontology seems to require a uniform probability distribution across Humean possible worlds.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningInsofar as one has a higher-order preference for the aesthetic quality noisy mess, one would be indifferent among such disorderly images.
“Insofar as one has a higher-order preference for the aesthetic quality noisy mess, presumably one would be indifferent among them.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningHumeanism has just as much difficulty explaining a toy pattern like 'all Fs are Gs' as it does explaining a sophisticated regularity, and similarly for Primitivism.
“Humeanism has just as much difficulty explaining a toy pattern like”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
InterpretationreasoningIt is hard to conceive how conscious states could realize moral properties in highly disorderly worlds.
“Indeed, it's hard even to conceive of how conscious states could realize moral properties in highly disorderly worlds.”
Quote in the paperNot a substantial claimMay combine two claims.
Premisenone givenWe have the ability to recognize patterns, and pattern recognition seems constitutive of an important kind of thought.
“As for introspection, we find that we have the ability to recognize patterns.Indeed, pattern recognition seems to be constitutive of an important kind of thought.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningSome aesthetic properties may require consciousness; if so, everything said about moral properties applies to this subset of aesthetic properties.
“Some aesthetic properties, as with moral properties, may require consciousness.If that is so, everything said about moral properties applies to this subset of aesthetic properties.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
InterpretationreasoningThe Peril of Insufficient Structure is that the theory doesn't contain enough structure to explain the regularities we observe, or even the fact that nature is orderly.
“This is the Peril of Insufficient Structure: the theory doesn't contain enough structure to explain the regularities we observe, or even the fact that nature is orderly.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningGod probably has a preference for regularity, and thus P(R|G) >> P(R|H).
“Indeed, we think they suggest that God probably does have a preference for regularity, and thus that P(R|G) >> P(R|H).”
Quote in the paperNot a substantial claimMay combine two claims.
PremisereasoningThere are extraordinarily many disorderly images that do not differ aesthetically in any interesting way; aesthetically they are lumped together.
“There are extraordinarily many such images that do not differ aesthetically in any interesting way: they just look like pure noise.Aesthetically speaking, all of them are lumped together.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.
Premisenone givenIt is one thing to provide a metaphysical theory that explains toy patterns such as 'all Fs are Gs'; it is another thing entirely to provide a metaphysical theory that explains the sophisticated regularities of modern science.
“It's one thing to provide a metaphysical theory that explains toy patterns such as”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningIf the relevant mental states in a chessboard world are qualitatively identical to those of Michelle and Barack, then regularities have been smuggled through the back door.
“Moreover, if the relevant mental states are indeed qualitatively identical to those of Michelle and Barack, there is a sense in which regularities have just been smuggled through the back door.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningThe hypothesis that God exists as creator and has the power to control whether there are patterns, including regularities, seems coherent and not much stronger or more radical than Divine Voluntarism in general.
“Moreover, the hypothesis that God exists as creator and has the power to control whether there are patterns (including regularities) seems coherent and doesn't strike us as being that much stronger and more radical than Divine Voluntarism in general.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based).
InterpretationreasoningSimilarly for aesthetic properties, the Pong environment is much less beautiful than sophisticated worlds in environments with modern physics engines.
“And similarly for aesthetic properties; the Pong environment is much less beautiful than sophisticated worlds in environments with modern physics engines.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
PremisecitationNaturalness is a necessary property.
“presumably naturalness is a necessary property (Hildebrand 2019: 165; Lewis 1986: 60-61, n. 44)”
Quote in the paperSubstantial claim0 of 2 sources checked- cites Hildebrand 2019 source
- cites Lewis 1986
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim: may not pass S4 (based).
Premisenone givenAll the intelligent beings we know of care about order, despite not all being creators.
“All the intelligent beings we know of care about order, despite not all being creators.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.
InterpretationreasoningPhysicists often treat simplicity, elegance, and beauty as properties of equations; these are legitimate intentional targets for a divine being and require the sophistication featured in the equations of modern science.
“Consider how physicists often treat simplicity, elegance, and beauty as properties of equations; these seem to be perfectly legitimate intentional targets for a divine being, and they seem to require the level of sophistication featured in the equations of modern science.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningFinite beings such as us might not be able to discern various higher-order values that disorderly worlds instantiate or allow, but we also might not be able to discern various higher-order values that orderly and regular worlds instantiate or allow.
“Yes, that's true; but we also might not be able to discern various higher-order values that orderly (and regular) worlds instantiate or allow.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationnone givenThere are more possible compressions of orderly worlds than of disorderly worlds; the same is true of regular worlds.
“We argued that there are more possible compressions of orderly worlds than of disorderly worlds.The same is true of regular worlds.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningRegular worlds are compressible, so insofar as God might have preferences directed towards compressions, God is more likely than chance to have preferences for regular worlds.
“Regular worlds are compressible, so insofar as God might have preferences directed towards compressions, God is more likely than chance to have preferences for regular worlds.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
InterpretationreasoningSince regular worlds are highly compressible, and compressions themselves are good candidates for aesthetic properties such as elegance and beauty, the third argument complements the second argument.
“Moreover, since regular worlds are highly compressible, and the compressions themselves are good candidates for various aesthetic properties (such as elegance and beauty), this third argument nicely complements the second argument.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing).
InterpretationcitationFor all we know, God might have further unknown reasons for preferring order or regularities that would cancel out God's possible unknown reasons for preferring disorder or mere order.
“for all we know, God might have further, unknown reasons for preferring order (or even regularities) that would cancel out God's possible unknown reasons for preferring disorder (or perhaps mere order).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Tooley 2012 source
May combine two claims.
InterpretationreasoningSome aesthetic properties require consciousness; if so, they require regularities as well.
“As we noted in 4.1.,some aesthetic properties require consciousness.If that's right, then our argument in 4.1 shows that these aesthetic properties require regularities as well, for reasons discussed in the paragraph above.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim. May combine two claims.
InterpretationreasoningIn merely orderly worlds, the game must be very simple and cannot include a physics engine with any sophistication.
“The game will have to be very simple, of course.By hypothesis, it cannot include a physics engine with any sophistication.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningDivine Voluntarism can accommodate laws having the relevant sophisticated structure, and there is reason to think an intelligent being is likely to look favorably upon such laws.
“Not only can it accommodate laws having the relevant sort of sophisticated structure, there's reason to think that an intelligent being is likely to look favorably upon such laws.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenIn assigning a prior probability to Divine Voluntarism, it seems appropriate to begin with its intrinsic probability.
“Therefore, in assigning a prior probability to Divine Voluntarism, it seems appropriate to begin with its intrinsic probability.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenWe are not operating from a position of total ignorance.
“However, we're not operating from a position of total ignorance.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisereasoningThe standard view of the Monty Hall Problem holds that one is initially justified in assigning 1/3 probability to the car's being behind any particular door.
“In turn, the standard view of the Monty Hall Problem holds that one is initially justified in assigning ⅓ probability to the car's being behind any particular door.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Bradley and Fitelson (2003) source
Probably not a substantial claim: may not pass S4 (based).
Interpretationnone givenImmediate experience does not directly inform us which metaphysical theory is true.
“Immediate experience does not directly inform us which theory is true.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationnone givenPrimitivists cannot explain, in the relevant sense, such regularities, but they can at least make sense of the modal force of such laws and their ability to support counterfactuals.
“We deny that Primitivists can explain (in the relevant sense) such regularities, but they can at least make sense of the modal force of such laws, their ability to support counterfactuals, etc.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenDivine Voluntarism is approximately as modest and general as its main competitors at that level of explanation.
“given that (i) Divine Voluntarism is approximately as modest and general as its main competitors at that level of explanation”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationnone givenProperty-based accounts avoid the Peril of Insufficient Structure, but they founder on the Peril of Too Much Structure.
“Property-based accounts avoid the Peril of Insufficient Structure, but they founder on the Peril of Too Much Structure.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenThere might be other evidence against Divine Voluntarism that renders the all-things-considered epistemic probability of such an explanation lower than its proponents might like, but there are no obvious candidates for such evidence.
“As noted, there might be other evidence against Divine Voluntarism that renders the all-things-considered epistemic probability of such an explanation lower than its proponents might like, but there are no obvious candidates for such evidence.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningIntrinsic probabilities seem to be a good starting point for the type of metaphysical hypotheses being considered.
“The last point we want to make in favor of setting P(G) close to Pi(G) is that intrinsic probabilities seem to be a good starting point for the type of metaphysical hypotheses we are considering.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationDraper admits that the minimal theses of Source Physicalism and Source Idealism have roughly equal intrinsic probability.
“Indeed, Draper (2017: 70 ff.)admits that the minimal theses of Source Physicalism (according to which everything mental is caused by something physical) and Source Idealism (according to which everything physical is caused by something mental) have roughly equal intrinsic probability.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Draper (2017: 70 ff.) source
Probably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.
InterpretationreasoningSubjectivists will also have to start with a prior confidence in some metaphysical hypothesis, and many philosophers will start with a prior confidence P(G) that is not extremely low.
“subjectivists will also have to start with a prior confidence in some metaphysical hypothesis, and many philosophers will start with a prior confidence P(G) that is not extremely low.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.
Interpretationnone givenFor prior confidences to be objectively correct, they must be based on some objective fact, and intrinsic probabilities are such an objective fact.
“For prior confidences to be objectively correct, they must be based on some objective fact, and we hold that intrinsic probabilities are such an objective fact.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenIt is objectively incorrect to begin unity-confident that the car is behind Door A, and objectively incorrect to begin 0.9-confident, and so on, but there is no reason to say it is objectively incorrect to begin 1/3-confident.
“Our quick reply is to recur to the other judgment we make: intuitively, it is objectively incorrect to begin unity-confident that the car is behind Door A, and objectively incorrect to begin 0.9-confident, and so on, but there is no reason to say it is objectively incorrect to begin ⅓-confident.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S1 (asserted).
PremisecitationThe standard Monty Hall view holds that if you initially select Door A, Monty opens Door B revealing a goat, and offers you the option to switch to Door C, then you should switch.
“The standard view is that if you initially select Door A, and Monty then (without yet opening Door A) opens Door B to reveal a goat, and offers you the option to switch to Door C, then you should take it.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Russell (2010: 464)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Classified as probably not a substantial claim. May combine two claims.
Interpretationnone givenThe Nomological Argument is concerned with an explanation of the fact that our world is conducive to scientific inquiry in the first place, so its question is at a level of abstraction above whether the explanation itself coheres with any specific scientific theory.
“And as for background scientific knowledge, the Nomological Argument is concerned with an explanation of the fact that our world is conducive to scientific inquiry in the first place, so our question is at a level of abstraction above whether our explanation itself coheres with any specific scientific theory.”
Quote in the paperSubstantial claimMay combine two claims.
InterpretationreasoningIf the likelihood that the car is behind Door C is objectively greater after Monty opens Door B, there must be some fact about the probability distribution before any door was opened, and certain distributions must be objectively incorrect.
“If the likelihood that the car is behind Door C is to be objectively greater than it was before Monty's opening of Door B, there must be some fact of the matter about the probability-distribution before any door was opened, and certain distributions must be objectively incorrect.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenPrimitive and analyzable accounts of non-Humean laws have the same intrinsic probability.
“Thus, we'll suppose that primitive and analyzable accounts of non-Humean laws have the same intrinsic probability.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The sum of the probabilities of mutually exclusive and jointly exhaustive individual disjuncts within some proposition cannot exceed the probability of that disjunctive proposition itself.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningSince the paper presents an ampliative argument, it cannot assume that it has taken into account all relevant evidence.
“Since we're presenting an ampliative argument, we cannot assume that we've taken into account all relevant evidence.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Premisenone givenThere are various well-known objections to Primitivism, for example that its primitives are illicit and that it falls prey to van Fraassen's inference problem.
“There are various well-known objections to Primitivism-for example, that its primitives are illicit, that it falls prey to van Fraassen's (1989) inference problem, etc.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites van Fraassen (1989) source
Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenIt would take a much longer work to fully defend the Nomological Argument against all possible rivals, or to show that justifying Divine Voluntarism would in turn justify classical or Anselmian theism.
“It would take a much longer work to fully defend the Nomological Argument against all possible rivals, or to show that justifying Divine Voluntarism would in turn justify classical or Anselmian theism.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningConsiderations of ontological parsimony might result in a lower prior, but they are too weak to result in a significantly lower prior.
“Though considerations of ontological parsimony might result in a lower prior, they are too weak to result in a significantly lower prior.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
Premisenone givenThe assignment of priors should be deeply informed by the structure of the theories.
“Our strategy is to argue that the assignment of priors should be deeply informed by the structure of the theories.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningDivine Voluntarism strikes exactly the right balance, offering enough internal metaphysical structure to avoid the Peril of Insufficient Structure, but enough flexibility to avoid the Peril of Too Much Structure.
“We think that Divine Voluntarism strikes exactly the right balance, offering”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based).
Interpretationnone givenThe philosophical project of coming up with a fully systematic, uncontroversial way to assign intrinsic probabilities is difficult.
“The philosophical project of coming up with a fully systematic, uncontroversial way to assign intrinsic probabilities is difficult.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenThere is a radical difference between accounts that posit a nonintentional sort of natural necessity and accounts that involve fundamental intentionality.
“In any case, there is a radical difference between accounts that posit a nonintentional sort of natural necessity (as property-based accounts do) and accounts that involve fundamental intentionality.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationnone givenAnalogous objections can be raised against Divine Voluntarism, and successful replies to those objections can be adapted by proponents of Primitivism.
“However, analogous objections can be raised against Divine Voluntarism, and we think successful replies to those objections can be adapted by proponents of Primitivism.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningNonintentional and intentional accounts of natural necessity seem equally coherent and equally modest.
“These two options thus seem equally coherent (for the same reason that the above divisions are) and equally modest; presumably only if we were already (question-beggingly) committed to naturalism or theism, etc., would we say that intentional explanations are fundamentally more or less modest.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing). May combine two claims.
InterpretationreasoningThe taxonomy's divisions group theories in a natural way, generating a classification of theories that are coherent and more-or-less equally modest.
“Do its divisions group theories in a natural way, generating a classification of theories that are coherent and more-or less equally modest?We think so.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningPrimitivism avoids the Peril of Too Much Structure, but it founders on the Peril of Insufficient Structure.
“To recap, Primitivism avoids the Peril of Too Much Structure, but it founders on the Peril of Insufficient Structure.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
InterpretationreasoningHumeanism and non-Humeanism are mutually exclusive and jointly exhaustive, so Pi(H v ~H) = 1.
“They are mutually exclusive and jointly exhaustive, so Pi(H v ~H) = 1.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based).
Interpretationnone givenIf the limited being is very powerful and intelligent, the Limited Voluntarism hypothesis is so similar to Divine Voluntarism that it need not be considered carefully.
“If the”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenIf the objection from materialism or dualism were decisive, it would undermine nearly all natural-theology arguments, so it does not need further attention here.
“In any case, if this objection were decisive, it would undermine nearly all natural-theology arguments, so we don't believe it needs further attention here.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenThere is a massive disparity in likelihoods such as P(R|G) >> P(R|H).
“since we argued above that there is a massive disparity in likelihoods such as that P(R|G) >> P(R|H)”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
PremisecitationDraper offers a plausible theory of intrinsic probabilities according to which they depend on the modesty and coherence of a hypothesis.
“Paul Draper (2017: 69 ff.) offers a plausible theory of intrinsic probabilities according to which they depend on the modesty and coherence of a hypothesis.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Draper (2017: 69 ff.) source
Probably not a substantial claim: may not pass S4 (based).
Interpretationnone givenExtant arguments for atheism, such as the Problem of Evil, and against other teleological arguments do not apply to Divine Voluntarism.
“and (iii) extant arguments for atheism (such as the Problem of Evil) and against other teleological arguments do not apply to Divine Voluntarism.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationPrinciples of ontological parsimony are controversial.
“Such principles are controversial (Huemer 2009; Sober 2009; Kriegel 2013: 18 ff.; Metcalf 2016)”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites Huemer 2009 source
- cites Sober 2009
- cites Kriegel 2013: 18 ff.
Probably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenThe taxonomy divisions do not feel arbitrary, but seem to result in a taxonomy of theories that displays at least rough symmetry.
“do not feel arbitrary, but seem to result in a taxonomy of theories that displays at least rough symmetry.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim.
PremisecitationBradley and Fitelson admit that they need to assume a thesis about prior or intrinsic probability anyway, namely their assumption (7).
“Indeed, Bradley and Fitelson admit (p.29) that they need to assume a thesis about prior or intrinsic probability anyway, viz.their assumption (7).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Bradley and Fitelson (2003) source
Probably not a substantial claim: may not pass S4 (based). May combine two claims.
InterpretationreasoningBoth inflationary and revisionary options appear perfectly coherent and equally modest.
“However, both options appear to be perfectly coherent, and both seem equally modest: each holds that these necessities exist; they disagree only about where the necessities come from.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable). May combine two claims.
InterpretationreasoningThe paper's arguments constitute an important step toward a defense, so that Divine Voluntarism at least warrants attention.
“But we take our arguments to constitute an important step toward a defense, so that Divine Voluntarism at least warrants attention.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Interpretationnone givenFor the most part, the taxonomy relied on exhaustive distinctions, where the options track fundamentally different ontologies.
“For the most part, we've relied on exhaustive distinctions, where the options in question track fundamentally different ontologies.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenDualism has not been convincingly shown to be vanishingly improbable.
“we don't think that dualism has been convincingly shown to be vanishingly improbable.”
Quote in the paperNot a substantial claimClassified as probably not a substantial claim. May combine two claims.
InterpretationreasoningThe paper has not argued that all minds depend for their existence on physical regularities, but instead that some immaterial minds would have reasons to create minds that do depend on physical regularities.
“More generally, we haven't argued that all minds depend for their existence on physical regularities, but instead, that some immaterial minds would have reasons (detailed in § 4) to create minds that do depend on physical regularities.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S2 (checkable), S4 (based).
Interpretationnone givenIn a state of total ignorance, we should set our prior P(G) to the intrinsic probability Pi(G).
“In a state of total ignorance, we should set our prior P(G) to the intrinsic probability Pi(G).”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable). May combine two claims.
InterpretationreasoningOne might object that theories undreamt of deserve a much larger intrinsic probability, but that approach threatens to undermine all explanatory arguments.
“One might be tempted to object that these deserve a much larger intrinsic probability, but that approach threatens to undermine all explanatory arguments.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based).
Interpretationnone givenCertain theories fall prey to the Peril of Insufficient Structure because there is no explanation of patterns among the fundamental singular facts.
“We think these theories fall prey to the Peril of Insufficient Structure, because there is no explanation of patterns among the fundamental singular facts, but that claim probably deserves its own paper.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Interpretationnone givenThe paper acknowledges one area in which its distinctions are not exhaustive, namely concerning theories undreamt of.
“We acknowledge one area in which our distinctions are not exhaustive-namely, concerning theories undreamt of.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningThe result concerning intrinsic probability will suffice to make the paper's case.
“This result concerning intrinsic probability will suffice to make our case”
Quote in the paperNot a substantial claim
The authors state this as an assumption.
The hypothesis that best explains an observation is the one with the highest posterior probability.
“However, we'll assume that the hypothesis that best explains an observation is the one with the highest posterior probability.”
The authors state this as an assumption.
It is possible to defend explanatory arguments along the sorts of lines used in the paper.
“Despite this controversy, we'll simply assume that it's possible to defend explanatory arguments along these sorts of lines.”
The authors state this as an assumption.
P(H) > P(G).
“Thus, let's suppose that P(H) > P(G).”
The authors state this as an assumption.
The prior probability that some property-based theory is true is similar to that of Primitivism: P(N)=P(L).
“The prior probability that some propertybased theory is true (we'll use the label N, short for 'non-Humean property-based theories'), let us suppose, is similar to that of Primitivism: P(N)=P(L).”
The authors state this as an assumption.
We have a reasonably good ability to make objective-epistemic-probability judgments.
“we simply assume that we have a reasonably good ability to make objective-epistemic-probability judgments.”
The authors state this as an assumption.
There are objective, epistemic, intrinsic probabilities.
“we'll assume that there are objective, epistemic, intrinsic probabilities”
The authors state this as an assumption.
The probabilities are interpreted as objective epistemic probabilities.
“we're interpreting the probabilities as objective epistemic probabilities.”
The authors state this as an assumption.
The set of possible worlds countenanced by Divine Voluntarism is isomorphic to that of both Humeanism and Primitivism.
“We'll grant that the set of possible worlds countenanced by Divine Voluntarism is isomorphic to that of both Humeanism and Primitivism.”
The authors state this as an assumption.
P(O|N)>>P(O|L).
“while we're happy to grant that P(O|N)>>P(O|L)”
The authors state this as an assumption.
Non-creator gods have less reason to care about the order of nature.
“For the sake of argument, let's grant that non-creator gods have less reason to care about the order of nature.”
The authors state this as an assumption.
God has power over the content of psycho-physical laws.
“For the sake of argument, we'll grant that God has power over the content of psycho-physical laws”
The authors state this as an assumption.
Sinhababu's case is possible.
“that Sinhababu's case is possible”
The authors state this as an assumption.
Sinhababu's objection succeeds against the Fine-Tuning Argument.
“and even that Sinhababu's objection succeeds against the Fine-Tuning Argument.”
The authors state this as an assumption.
The sum of the probabilities of mutually exclusive and jointly exhaustive individual disjuncts within some proposition cannot exceed the probability of that disjunctive proposition itself.
“We assume, of course, that the sum of the probabilities of mutually exclusive and jointly exhaustive individual disjuncts within some proposition cannot exceed the probability of that (disjunctive) proposition itself.”
The authors state this as an assumption.
Extant objections to non-Humeanism in general and to explanatory arguments in general are unsuccessful.
“extant objections to non-Humeanism in general and to explanatory arguments in general are unsuccessful (a claim we've simply assumed, rather than defended)”
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Governing Without A Fundamental Direction of Time: Minimal Primitivism about Laws of Nature
Chen, E. K., & Goldstein, S. (2022) · Jerusalem Studies in Philosophy and History of Science · doi:10.1007/978-3-030-96775-8_2 · Cited by 69 · see citing works
Builes, D., & Teitel, T. (2022) · Philosophical Perspectives · doi:10.1111/phpe.12171 · Cited by 22 · see citing works
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Self-citationNominalist dispositional essentialism
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- Authors
- Hildebrand, T., & Metcalf, T.
- Affiliations
- Dalhousie University (CA)
- Spring Hill College (US)
- Corresponding author
- Hildebrand, Tyler
- Venue
- Noûs
- Publisher
- Wiley
- Published
- 2021-03-19
- Volume
- 56
- Issue
- 2
- Pages
- 443-472
- ISSN
- 0029-4624 (ISSN-L)
- 1468-0068
- OpenAlex
- W3137633743
- Cited by
- 38
- References
- 87
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 4 · 2023: 5 · 2022: 24
- FWCI
- 46.49
- Type
- journal article
- Language
- en
- Open access
- green
- philarchive.org
- Locations
- Noûs (publishedVersion)
- PhilPapers (PhilPapers Foundation) (submittedVersion)
- Topics
- Social Sciences › Arts and Humanities › Philosophy › Study and Philosophy of Religion
- Social Sciences › Arts and Humanities › Philosophy › Epistemology, Ethics, and Metaphysics
- Social Sciences › Arts and Humanities › Philosophy › Theology and Philosophy of Evil
- Keywords
- existence of God, intentional explanation, creative activity, scientific explanation, philosophy of religion, cosmological argument
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