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    When (5) is conjoined with the reductio assumption that G... — Carmelics
    Home/Problem of Evil
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    Supports→Premises (1) through (6) validly imply conclusion (7), i.e., that God does not exist.

    When (5) is conjoined with the reductio assumption that God exists, it follows via modus ponens from (6) that either God doesn't have the power to eliminate all evil, or doesn't know when evil exists, or doesn't have the desire to eliminate all evil.

    Problem of Evil
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    Topics

    Problem of Evil

    Key Terms

    Modus Ponens(Used as the primary example of a rule whose deductive justification is self-referential)
    A rule of inference such that if the premises of an application of Modus Ponens are true, then the conclusion must also be true
    conjoined(as used in logic)
    Combined or connected together, usually referring to two ideas or statements being joined as a unit.
    problem of evil(Used as a basis for arguing against the existence of the God of traditional theism)
    The philosophical challenge of vindicating God's moral attributes (particularly omnipotence and perfect goodness) in light of the existence of evil in the world

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    Related propositions within the same area of thought.
    reductio assumption(as used in logical reasoning)
    A temporary assumption you make for the sake of argument, which you plan to show leads to a contradiction or absurd conclusion.

    Related

    Premises (1) through (6) validly imply conclusion (7), i.e., that God does not e...

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    This, together with (2), (3), and (4), entails that God has the power ...82%We therefore have a contradiction: God both has and lacks the power, k...80%These results produce a contradiction: God both has and lacks the powe...79%The argument from evil should be formulated as an evidential (inductiv...79%

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    SEP: evil
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    That this argument is valid is perhaps most easily seen by a reductio argument, in which one assumes that the conclusion—(7)—is false, and then shows that the denial of (7), along with premises (1) through (6), leads to a contradiction. Thus if, contrary to (7), God exists, it follows from (1) that God is omnipotent, omniscient, and morally perfect. This, together with (2), (3), and (4) then entails that God has the power to eliminate all evil, that God knows when evil exists, and that God has the desire to eliminate all evil. But when (5) is conjoined with the reductio assumption that God...

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