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    There must be at least three forms of largeness (L1, L2, ... — Carmelics
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    Home/Philosophy of Language
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    There must be at least three forms of largeness (L1, L2, and L3).

    Modality & PossibilityPhilosophy of Language
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Self-Predication: L2 is itself large.
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    • 2.There is now a new plurality of large things: A, B, C, L1, and L2.
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    • 3.One-over-Many: for any plurality of large things, there is a single form of largeness by virtue of which all members of that plurality are large.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.The One-over-Many principle applies only to predications grounded in non-formal particulars, not to forms predicating themselves.
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    • 2.L2's largeness is not a relational property requiring a further form but is constitutive of its essence, terminating the regress by definition.
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    • 3.Aristotle's own response in Metaphysics I.9 treats self-predication as an equivocation: forms are not large in the same sense as sensible particulars.
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    Reason against 2 of 2
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    • 1.Sellars and Owen independently argued that 'large' in 'L1 is large' is a predicate of a different logical type than 'large' in 'Simmias is large'.
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    • 2.If form-predication and particular-predication are not univocal, the new plurality in P2 is not a genuine plurality of the same kind, blocking the application of One-over-Many.
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    Philosophy of LanguageModality & Possibility

    Related

    Aristotle's own response in Metaphysics I.9 treats self-predication as an equivo...If form-predication and particular-predication are not univocal, the new plurali...L2's largeness is not a relational property requiring a further form but is cons...Non-Identity: L3 is numerically distinct from both L1 and L2.
    +6 moreShow less
    One-over-Many: for any plurality of large things, there is a single form of larg...Self-Predication: L2 is itself large.Sellars and Owen independently argued that 'large' in 'L1 is large' is a predica...The One-over-Many principle applies only to predications grounded in non-formal ...There is now a new plurality of large things: A, B, C, L1, and L2.Therefore there is a form L3 by virtue of which A, B, C, L1, and L2 are large.

    Similar

    There must be at least two forms of largeness (L1 and L2).98%Therefore there is a form L3 by virtue of which A, B, C, L1, and L2 ar...91%One-over-Many: for any plurality of large things, there is a single fo...86%Each form in the infinite hierarchy of forms of largeness is not one.85%

    Source

    AI-extracted1/3 agreementValid
    SEP: plato-parmenides
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    (Notice that Non-Identity follows directly from Separation.) From the fact that L1 partakes of L2, Non-Identity entails that L2 is numerically distinct from L1. Thus, there must be at least two forms of largeness, L1 and L2. But this is not all. By Self-Predication, L2 is large. So there is now a new plurality of large things, A, B, C, L1, and L2. Thus, by One-over-Many, there is a form of largeness (call it “L3”) by virtue of partaking of which A, B, C, L1, and L2 are large. Hence L1 and L2 bo
    Extraction notes

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    Details

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