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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Under the Piece-of-Pie Model, there is a part of the Form... — Carmelics
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    Home/Personal Identity
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    Challenges→The Form of the F cannot be one, contradicting the Oneness of Forms.

    Under the Piece-of-Pie Model, there is a part of the Form of the F in each of A, B, and C.

    Modality & PossibilityPersonal Identity
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    Personal IdentityModality & Possibility

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    Truth & Knowledge1 linked

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    Related propositions within the same area of thought.
    Causation
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    Divine Attributes1 linked

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    By Causality, sensible F things A, B, and C are F by virtue of partaking of the ...If the parts of the Form of the F in A, B, and C are numerically distinct, then ...The Form of the F cannot be one, contradicting the Oneness of Forms.To avoid the absurdity of the same part existing as a whole in separate places s...
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    What is divided into multiple distinct parts cannot be one.

    Similar

    The Axiom of Limitation of Size implies the Axiom of Choice84%The Axiom of Limitation of Size implies the Axiom of Replacement84%Therefore, the part of the Form of the F present in A cannot be identi...82%Combining Causality with the Piece-of-Pie Model entails that small thi...81%

    Source

    AI-extracted
    SEP: plato-parmenides
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    Having assimilated Socrates’ day analogy to the Piece-of-Pie Model, Parmenides turns to a criticism of this second version of the Pie Model. Suppose, then, the same three sensible F things—A, B, and C—in separate places at the same time. According to Causality, A, B, and C are F by virtue of partaking of the F, and hence A, B, and C partake of the F. Given the Piece-of-Pie Model, there is a part of the F in each of A, B, and C. If the same absurdity generated from the Whole Pie Model is to be av

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