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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
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    42
    Home/Original/inverse
    See Original
    Inverse View

    It is not the case that Each form in the infinite hierarchy of forms of largeness is not one.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.A form's being 'many' (having multiple instances or participations) does not preclude its being numerically one as a distinct entity.
      ?

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    • 2.Plato's Purity-F principle, as Vlastos reconstructs it, conflates predicational and numerical oneness, committing a use-mention error.
      ?

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    • 3.Therefore, the inference from 'infinitely many' to 'not one' equivocates on the sense of 'one', undermining P2's force.
      ?

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    Reason for 2 of 2
    ?
    • 1.Aristotle's 'Third Man' regress in Metaphysics 990b targets self-predication, not the claim that forms lack unity.
      ?

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    • 2.A form of Largeness can be both a universal (hence 'many' in extension) and a single universal (hence 'one' in intension), as Frege's concept-object distinction clarifies.
      ?

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    • 3.Purity-F, if it bars forms from having any contrary predicates, collapses into an implausibly strict monism that Plato himself never endorsed.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Each form in the infinite hierarchy of forms of largeness is infinitely many.
      ?

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    • 2.The property of being one and the property of being many are contraries.
      ?

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    • 3.Purity-F holds: a form cannot have contrary properties.
      ?

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    Strongest counterpoint
    Explore the most compelling reason on the other side.