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    If forms are analogous to Fregean concepts rather than to... — Carmelics
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    Challenges→Each form in the infinite hierarchy of forms of largeness is infinitely many.

    If forms are analogous to Fregean concepts rather than to extensional sets, then the number of predicates truly applicable to a form does not determine the form's internal multiplicity.

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    Key Terms

    Extensional sets(as used in logic and mathematics)
    Collections of things defined purely by what members they contain, with no attention to how those members are described or what properties they share.
    Frege / Fregean(as the philosopher whose theory is being discussed)
    Gottlob Frege was a German logician and philosopher who developed important ideas about how language and meaning work. 'Fregean' means relating to his ideas or theories.
    Internal multiplicity(as used in metaphysics)
    The number or variety of distinct components or aspects that make up something from within.
    Predicates(in logic and philosophy of language)
    Words or phrases that describe properties or characteristics of something—like 'is red' or 'is tall' in the sentence 'The ball is red.'
    analogous

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    (as used in logic and philosophy)
    Similar in important ways; if two things are analogous, what's true about one should be true about the other.
    forms(Timaeus metaphysical scheme)
    The eternal and unchanging entities that serve as the 'model' or 'father' in Plato's tripartite metaphysical scheme in the Timaeus.

    Connections

    1 linked claim · 2 topics

    Modality & Possibility1 linkedPhilosophy of Language1 linked
    Each form in the infinite hierarchy of forms of largeness is infinitely many.

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    Each form in the infinite hierarchy of forms of largeness is infinitely many.

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