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    For appearances, both the Thesis (divisions of matter are... — Carmelics
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    321,452
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    Home/Skepticism
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    For appearances, both the Thesis (divisions of matter are finite) and the Antithesis (divisions of matter are infinite) are false.

    Modality & PossibilitySkepticism
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.For appearances, divisions of matter into parts are not completable in experience.
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    • 2.The predicates 'finite' and 'infinite' apply only to a completed or completable sequence of divisions.
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    • 3.A sequence that is not completable in experience can be considered neither finite nor infinite.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Mathematical predicates like 'finite' and 'infinite' apply to sets defined by their structural properties, not by epistemic completability.
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    • 2.The series of natural numbers is actually infinite regardless of whether any mind completes enumeration of it.
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    • 3.Therefore, the divisibility of matter can coherently bear a determinate infinite or finite cardinality independent of experiential limits.
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    Reason against 2 of 2
    ?
    • 1.Aristotle's distinction between potential and actual infinity allows 'infinite' to apply meaningfully to an incompletable process of division.
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    • 2.If matter is potentially infinitely divisible, the predicate 'infinite' applies in its potential sense without requiring a completed sequence.
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    • 3.Kant's inference that incompletability entails neither-finite-nor-infinite conflates epistemic inaccessibility with ontological indeterminacy.
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    SkepticismModality & Possibility

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    Related

    A sequence that is not completable in experience can be considered neither finit...Aristotle's distinction between potential and actual infinity allows 'infinite' ...For appearances, divisions of matter into parts are not completable in experienc...If matter is potentially infinitely divisible, the predicate 'infinite' applies ...
    +5 moreShow less
    Kant's inference that incompletability entails neither-finite-nor-infinite confl...Mathematical predicates like 'finite' and 'infinite' apply to sets defined by th...The predicates 'finite' and 'infinite' apply only to a completed or completable ...The series of natural numbers is actually infinite regardless of whether any min...Therefore, the divisibility of matter can coherently bear a determinate infinite...

    Similar

    Both the Thesis (the sequence of divisions is finite) and the Antithes...91%If matter is taken as a thing-in-itself, then the sequence of division...87%This contradiction shows the assumption that P is finite must be false...80%The predicates 'finite' and 'infinite' apply only to a completed or co...79%

    Source

    AI-extracted1/3 agreementValid
    SEP: continuity
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    Kant identifies the inadmissible condition as the implicit taking of matter as a thing-in-itself, which in turn leads to the mistake of taking the division of matter into parts to subsist independently of the act of dividing. In that case, the Thesis implies that the sequence of divisions is finite; the Antithesis, that it is infinite. These cannot both be true of the completed (or at least completable) sequence of divisions which would result from taking matter or substance as a thing-in-itsel
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit