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    Each form in the hierarchy is large by virtue of partakin... — Carmelics
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    Home/Philosophy of Language
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    Supports→For every pair of forms Lm and Ln where m is less than n, Lm partakes of Ln.

    Each form in the hierarchy is large by virtue of partaking of every form that lies above it in the hierarchy.

    Modality & PossibilityPhilosophy of Language
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    Philosophy of LanguageModality & Possibility

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    For every pair of forms Lm and Ln where m is less than n, Lm partakes of Ln.The hierarchy is generated such that higher-indexed forms subsume lower-indexed ...

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    Therefore there is a form L3 by virtue of which A, B, C, L1, and L2 ar...83%One-over-Many, Self-Predication, and Non-Identity together generate an...83%Each form in the infinite hierarchy of forms of largeness is not one.83%The hierarchy is generated such that higher-indexed forms subsume lowe...82%

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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

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