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    LoyalLoyalJusticeJustice
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    Only necessarily false propositions have a probability eq... — Carmelics
    Home/Problem of Evil
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    Connected to 2 discussions

    Supports→Premise (3) is plausible.
    Supports→There is at least some non-zero probability that God does not exist, given our background knowledge (premise 2 holds).

    Only necessarily false propositions have a probability equal to zero.

    Problem of Evil
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    Problem of Evil

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    Neither God's existence being a necessary truth nor background knowledge entaili...Neither ¬P is necessarily false nor does G & k entail P.Pr(P | G & k) can be equal to one only if the conjunction ¬P & G & k is necessar...Premise (3) is plausible.
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    Related propositions within the same area of thought.
    That conjunction is necessarily false only if God's existence is a necessary tru...The conjunction ¬P & G & k is necessarily false only if either ¬P is necessarily...The probability of God not existing given background knowledge can be zero only ...There is at least some non-zero probability that God does not exist, given our b...Therefore the probability of God not existing given background knowledge is not ...

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    Treating any proposition to which one cannot assign a probability as e...81%If it is necessary that such a being exists, then the proposition that...78%If one treated any proposition to which one could not assign a probabi...78%There is at least some non-zero probability that God does not exist, g...77%

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    SEP: evil
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    As regards (2), it certainly seems plausible, assuming that the existence of God is not logically necessary, that there is at least some non-zero probability that God does not exist, given our background knowledge. But one can derive (2), provided that one is willing to accept the (not uncontroversial) principle that only necessarily false propositions have a probability equal to zero. (This principle is very plausible if one accepts the idea of infinitesimals. If one does not, one may hold that some contingent propositions have a probability equal to zero.) Given this assumption, the reasonin...

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