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    Home/Original/inverse
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    Inverse View

    It is not the case that Determinate similarity and comparability among lengths is explained by Armstrong's partial identity account.

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Armstrong's partial identity requires that universals have genuine mereological parts, but universals are traditionally simple, non-composite entities.
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    • 2.If unit length universals are themselves complex aggregates, an infinite regress threatens: each unit must be explained by sub-units sharing partial identity.
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    • 3.A regress of partial identities fails to ground similarity without a primitive notion of resemblance, undermining the account's explanatory advantage over resemblance nominalism.
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    Reason for 2 of 2
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    • 1.Bigelow and Pargetter argue that quantities are better explained by relations to real numbers than by mereological overlap among universals.
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    • 2.On a relational account, comparative similarity among lengths is grounded in the ordered structure of real numbers, not partial identity of universals.
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    • 3.Armstrong's partial identity account cannot recover the full dense ordering of lengths without presupposing the real number structure it purports to explain.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.On Armstrong's account, resemblance between determinate universals is constituted by partial identity.
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    • 2.Different determinate lengths share some but not all unit length universals.
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    • 3.Sharing some but not all unit length universals constitutes partial identity, which grounds similarity and comparability.
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