Cited by 38Study and Philosophy of ReligionEpistemology, Ethics, and MetaphysicsTheology and Philosophy of Evil

The nomological argument for the existence of God

Open access
Hildebrand, Tyler, Metcalf, Thomas·2022·Noûs

Abstract

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.

Integrity signals

Registry

Crossref · 10.1111/nous.12364

Cites

100 of 101 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

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
  • 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 given

    A 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 claim
  • May combine two claims.

    Interpretationreasoning

    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)).

    “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.

    Interpretationreasoning

    P(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.

    Premisecitation

    The 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 given

    Predicates 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable).

    Interpretationreasoning

    More 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 claim
  • May combine two claims.

    Premisereasoning

    Primitivism 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 claim
  • May 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 given

    Moral 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Interpretationnone given

    P1: 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationreasoning

    A 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 claim
  • May combine two claims.

    Premisenone given

    Massively 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 claim
  • May combine two claims.

    Interpretationreasoning

    Since 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 claim
  • May combine two claims.

    Interpretationreasoning

    Property-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 claim
  • May combine two claims.

    Interpretationreasoning

    Primitivism 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 claim
  • May combine two claims.

    Interpretationreasoning

    Intelligent 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 claim
  • Classified as probably not a substantial claim.

    Interpretationreasoning

    Divine 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 claim
  • Classified as probably not a substantial claim.

    Interpretationreasoning

    Divine 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 claim
  • Probably not a substantial claim: may not pass S4 (based). May combine two claims.

    Interpretationnone given

    A 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 claim
  • May combine two claims.

    Premisenone given

    Non-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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Interpretationnone given

    P2: 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 claim
  • May combine two claims.

    Interpretationreasoning

    Even 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 claim
  • May combine two claims. The quote only partly states this claim.

    Interpretationnone given

    Although 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Interpretationnone given

    It 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 claim
  • May combine two claims.

    Premisereasoning

    Humeanism 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable).

    Interpretationreasoning

    Insofar 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 claim
  • May combine two claims.

    Interpretationreasoning

    Humeanism 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Interpretationreasoning

    It 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 claim
  • May combine two claims.

    Premisenone given

    We 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 claim
  • May combine two claims.

    Interpretationreasoning

    Some 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 claim
  • Classified as probably not a substantial claim.

    Interpretationreasoning

    The 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 claim
  • May combine two claims.

    Interpretationreasoning

    God 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 claim
  • May combine two claims.

    Premisereasoning

    There 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.

    Premisenone given

    It 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 claim
  • May combine two claims.

    Interpretationreasoning

    If 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 claim
  • May combine two claims.

    Interpretationreasoning

    The 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based).

    Interpretationreasoning

    Similarly 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 claim
  • Classified as probably not a substantial claim.

    Premisecitation

    Naturalness 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 given

    All 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.

    Interpretationreasoning

    Physicists 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 claim
  • May combine two claims.

    Interpretationreasoning

    Finite 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 claim
  • May combine two claims.

    Interpretationnone given

    There 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 claim
  • May combine two claims.

    Interpretationreasoning

    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.

    “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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Interpretationreasoning

    Since 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing).

    Interpretationcitation

    For 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.

    Interpretationreasoning

    Some 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 claim
  • Classified as probably not a substantial claim. May combine two claims.

    Interpretationreasoning

    In 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 claim
  • May combine two claims.

    Interpretationreasoning

    Divine 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Interpretationnone given

    In 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Interpretationnone given

    We 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisereasoning

    The 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 given

    Immediate 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 claim
  • May combine two claims.

    Interpretationnone given

    Primitivists 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 claim
  • Probably not a substantial claim: may not pass S4 (based).

    Interpretationnone given

    Divine 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 claim
  • May combine two claims.

    Interpretationnone given

    Property-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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.

    Interpretationnone given

    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.

    “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 claim
  • Probably not a substantial claim: may not pass S2 (checkable).

    Interpretationreasoning

    Intrinsic 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Draper 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.

    Interpretationreasoning

    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.

    “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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based). May combine two claims.

    Interpretationnone given

    For 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.

    Interpretationnone given

    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 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 claim
  • Probably not a substantial claim: may not pass S1 (asserted).

    Premisecitation

    The 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 given

    The 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 claim
  • May combine two claims.

    Interpretationreasoning

    If 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 claim
  • Probably not a substantial claim: may not pass S4 (based).

    Interpretationnone given

    Primitive 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).

    Interpretationreasoning

    Since 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Premisenone given

    There 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 given

    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.

    “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 claim
  • May combine two claims.

    Interpretationreasoning

    Considerations 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Premisenone given

    The 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 claim
  • May combine two claims.

    Interpretationreasoning

    Divine 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based).

    Interpretationnone given

    The 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Interpretationnone given

    There 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 claim
  • May combine two claims.

    Interpretationnone given

    Analogous 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 claim
  • May combine two claims.

    Interpretationreasoning

    Nonintentional 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing). May combine two claims.

    Interpretationreasoning

    The 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 claim
  • May combine two claims.

    Interpretationreasoning

    Primitivism 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.

    Interpretationreasoning

    Humeanism 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based).

    Interpretationnone given

    If 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.

    Interpretationnone given

    If 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 claim
  • Probably not a substantial claim: may not pass S4 (based).

    Interpretationnone given

    There 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 claim
  • Classified as probably not a substantial claim.

    Premisecitation

    Draper 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 given

    Extant 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    Principles 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 given

    The 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 claim
  • Classified as probably not a substantial claim.

    Premisecitation

    Bradley 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.

    Interpretationreasoning

    Both 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable). May combine two claims.

    Interpretationreasoning

    The 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationnone given

    For 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 claim
  • Probably not a substantial claim: may not pass S4 (based).

    Interpretationnone given

    Dualism 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 claim
  • Classified as probably not a substantial claim. May combine two claims.

    Interpretationreasoning

    The 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S4 (based).

    Interpretationnone given

    In 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable). May combine two claims.

    Interpretationreasoning

    One 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based).

    Interpretationnone given

    Certain 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationnone given

    The 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable).

    Interpretationreasoning

    The 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
96 of 96
  • 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)”
15 of 15

Cites

Flagged first, then by citations

Research works printed but not linked: 9

  1. Chen E. K., Time's Arrows and the Probability Structure of the World
  2. Hájek A., 2019, The Stanford Encyclopedia of Philosophy
  3. Lowe E. J., 1989, Kinds of Being
  4. Maroney O., 2020, The Stanford Encyclopedia of Philosophy
  5. Moore G. E., 1903, Principia Ethica
  6. Tooley M., 2008, Knowledge of God, 70
  7. Tooley M., 2011, The skeptical challenges of Hume and Berkeley: can they be answered?, Proceedings of the American Philosophical Association, 85, 27
  8. Tooley M., 2020, The Stanford Encyclopedia of Philosophy
  9. Vetter B.(2009).Review ofNature's Metaphysics: Laws and Properties.Logical Analysis and History of Philosophy 12 320–328.https://doi.org/10.30965/26664275‐01201018 · DOI

Cited by

Sorted by citations

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
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

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-11.

Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-11.

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