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    A form that is genuinely 'one over many' participates in ... — Carmelics
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    Challenges→Any form that has participants is one.

    A form that is genuinely 'one over many' participates in its own nature only if self-predication holds, but self-predication leads to the Third Man regress, undermining the claim that any such form is coherently one.

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    Key Terms

    One over many(as used in metaphysics)
    A philosophical phrase meaning a single universal idea or pattern that many individual things share—for example, the single concept of 'chair' that applies to many different chairs.
    Participates(as used in metaphysics)
    In Plato's theory, when a physical object 'participates' in a Form, it means that object imperfectly copies or resembles that perfect, universal idea.
    Regress(as used in epistemology and logic)
    An infinite chain of reasoning where each explanation requires another explanation, like asking 'why?' infinitely and never reaching a final answer.
    Self-Predication(Third Man argument)
    A principle relied upon in the Third Man argument stating that a Form itself instantiates the predicate it corresponds to (e.g., the Form of Largeness is itself large).

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    Third Man regress(as used in logic and metaphysics)
    A logical problem in Plato's theory: if a Form and individual things both have the same property, you'd need a third Form to explain what they share, then a fourth Form to explain that, leading to an infinite chain with no end.
    form(Descartes retains scholastic terminology despite breaking with scholastic metaphysics)
    Used in the original scholastic non-geometric sense — atemporal and aspatial; not a spatial or geometric property

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    Truth & Knowledge1 linkedModality & Possibility1 linked

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    Any form that has participants is one.

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