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    God's omniscience entails that in every world where God b... — Carmelics
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    Supports→It is hard to maintain that God's belief that T is infallible (as claimed in premise (1)).

    God's omniscience entails that in every world where God believes T, T is true—this counterfactual reliability is precisely what infallibility requires, per Alvin Plantinga's proper function epistemology.

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    Key Terms

    Alvin Plantinga(as the originator of the Evolutionary Argument Against Naturalism)
    A contemporary American philosopher known for arguing that belief in God is rational without needing scientific proof, and for challenging the idea that evolution supports atheism.
    Proper function epistemology(Plantinga's specific approach to understanding knowledge)
    Plantinga's theory that you have genuine knowledge when your mental faculties (like perception or reasoning) are working as they were designed to work and successfully track what's true.
    counterfactual(Modal logic and epistemology)
    A conditional statement concerning what would be the case if some antecedent condition were true, evaluated across possible worlds; contraposition does not hold in general for counterfactuals.
    entails(describes a logical relationship between statements)
    Logically forces or guarantees; if A entails B, then whenever A is true, B must also be true.

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    epistemology(Contrasted with purely descriptive scientific inquiry)
    A normative enterprise that tells us how we ought to reason from evidence and how we ought to justify our beliefs, as distinct from merely describing how we do reason or justify beliefs
    infallibility(Used by Mill to characterize the epistemic error made by those who would suppress beliefs they take to be false or harmful)
    The assumption that one's own judgment about the truth or falsity of a belief cannot be mistaken
    omniscience(The passage tests omniscience against mathematical undecidability)
    The property of knowing everything; used here to probe whether divine knowledge extends to undecided mathematical propositions.

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    Free Will & Foreknowledge1 linked

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    It is hard to maintain that God's belief that T is infallible (as claimed in pre...

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