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    If Forms are best understood as non-composite, self-predi... — Carmelics
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    Challenges→The Form F cannot be one

    If Forms are best understood as non-composite, self-predicating universals in the tradition of Proclus's henads, unity is a formal rather than mereological property and does not generate multiplicity of parts.

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    Key Terms

    Henads(Neoplatonic metaphysics)
    Participated unities or gods that proceed from the One and bridge the gap between the transcendent unparticipated One and the multiplicity of beings.
    Mereological property(metaphysics)
    A quality that depends on how something's parts are put together or organized (from the word 'mereology,' which studies part-to-whole relationships).
    Multiplicity of parts(metaphysics)
    The existence of many separate pieces or components that make up a larger whole.
    Non-composite(metaphysics)
    Something that cannot be broken down into smaller parts; it's unified as a single, indivisible thing rather than made up of pieces.
    Proclus
    Proclus was an ancient Greek philosopher who lived from 412-485 CE and is famous for being one of the last great thinkers of the classical world. He developed important ideas about mathematics, geometry, and how we understand reality, building on the work of Plato and other earlier philosophers. He matters today because his writings preserved and explained ancient Greek ideas that might otherwise have been lost, and his work on geometry influenced how mathematics was taught for centuries afterward.

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    Self-predicating(in metaphysics and philosophy of forms)
    When something has the property it describes; for example, if the property 'abstract' were self-predicating, it would mean that 'abstract' itself is abstract.
    formal property(logic and mathematics)
    A characteristic or feature of something that can be described using logical or mathematical rules, independent of what the thing actually is in the real world.
    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.
    universals(Debated in Lefèvre's Disceptatio de universali between two students of Chrysippus's academy)
    Either what particular classes of things share, or what those who reason say they share (decided by convention)

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    The Form F cannot be one

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