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    If supertasks are metaphysically impossible, the premise ... — Carmelics
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    Challenges→If there are uncountably many times at which one implements a mixed strategy with non-zero probability of wagering for God, then with probability 1 one ends up wagering for God at one of those times.

    If supertasks are metaphysically impossible, the premise that uncountably many trials can be completed collapses, and the probability-1 guarantee never applies to any realizable agent.

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    Key Terms

    Metaphysically impossible(as used in metaphysics)
    Something that cannot exist or happen in the deepest reality, no matter what—not just practically impossible but impossible by the very nature of how reality works.
    Premise
    A premise is a statement or fact that you assume to be true as a starting point for reasoning or making an argument. Think of it as the foundation or building block you use to reach a conclusion—for example, "All dogs are animals" and "My pet is a dog" are premises that lead to the conclusion "My pet is an animal." Premises are essentially the evidence or claims you offer before drawing a final conclusion.
    Probability-1 guarantee(what stops being guaranteed if supertasks are impossible)
    A certainty that something will definitely happen; a 100% guarantee with no possibility of failure (in probability theory, 1 = 100%).
    Realizable agent(describing who or what the probability guarantee applies to)
    An entity or being that can actually exist and act in the real world, not just in theory—like a person or robot, as opposed to something impossible.

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    Uncountably many(as used in mathematics and logic)
    An infinite number of things so large that you couldn't list them all even with infinite time; larger than regular infinity (like comparing all real numbers to just whole numbers).
    supertasks(as what the laws permit or don't permit)
    Infinite sequences of actions or events that somehow happen in a finite amount of time (like completing infinitely many steps before a deadline).

    Connections

    2 topics

    Modality & Possibility1 linkedNatural Theology1 linked

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    If there are uncountably many times at which one implements a mixed strategy wit...

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