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    A supertask traversing infinite divisions is completable ... — Carmelics
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    Challenges→Moving parts within an extended universe are impossible

    A supertask traversing infinite divisions is completable if the series converges to a finite sum, as in Cauchy's formalization.

    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Cauchy's limit definition provides rigorous mathematical formalism for handling infinite processes without invoking actual infinity.
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    • 2.Zeno's dichotomy paradox is resolved when we recognize that infinitely many steps can sum to finite distance via convergent series.
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    • 3.Physical reality appears to permit infinite divisibility yet finite completion (e.g., light traversing space in finite time).
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Mathematical convergence describes a limit value, not completion of infinitely many discrete events in finite physical time.
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    • 2.A supertask requires actually performing each step sequentially; convergence alone doesn't establish metaphysical feasibility of infinite action.
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    • 3.The claim conflates mathematical properties of series with claims about real temporal completion, committing a category error.
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    Causation1 linkedModality & Possibility1 linked

    Related

    A supertask requires actually performing each step sequentially; convergence alo...Cauchy's limit definition provides rigorous mathematical formalism for handling ...Mathematical convergence describes a limit value, not completion of infinitely m...Moving parts within an extended universe are impossible
    +3 moreShow less
    Physical reality appears to permit infinite divisibility yet finite completion (...The claim conflates mathematical properties of series with claims about real tem...Zeno's dichotomy paradox is resolved when we recognize that infinitely many step...

    Details

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    claim
    Perspectives
    2 (1 for, 1 against)
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    1 edit