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    Crescas, following in the tradition of atomist and Neopla... — Carmelics
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    Supports→Aristotle's geometric arguments against the existence of an infinite dimension are invalid

    Crescas, following in the tradition of atomist and Neoplatonic cosmology, argues that an actually infinite dimension need not permit the construction of the absurd proportional relationships Aristotle projects onto it.

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    Key Terms

    Actually infinite(as used in mathematics and philosophy)
    A collection that is completely unlimited in size, not just something that keeps going forever—like if you could somehow count every single book in a library that has no end.
    Aristotle
    Aristotle was an ancient Greek philosopher who lived over 2,000 years ago and is one of the most influential thinkers in Western history. He studied nearly every subject—from animals and plants to politics and ethics—and developed practical ways of thinking that shaped how people understand the world. His ideas on logic, nature, and how to live a good life are still taught and debated today because he focused on observing the real world rather than just abstract theories.
    Atomist cosmology(describing the philosophical tradition Crescas followed)
    An ancient Greek theory that everything in the universe is made of tiny, indivisible particles (atoms) moving through empty space.
    Crescas(the main philosopher being discussed)
    A medieval Jewish philosopher (1340-1410) who thought deeply about infinity and space; he disagreed with Aristotle's ideas about how infinity works.

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    Neoplatonic cosmology(another philosophical tradition influencing Crescas)
    A philosophical view inspired by Plato that describes the universe as having different levels of reality, with everything flowing from one ultimate source of perfection.
    Proportional relationships(the mathematical relationships Aristotle claimed create logical problems)
    Mathematical comparisons showing how two quantities relate to each other (like saying 2 is to 4 as 3 is to 6).
    absurd(Camus 1955: 12)
    The discrepancy between the human mind's demand for fundamental meaning and the world's failure to provide answers
    dimension(as used in describing color perception)
    A separate axis or direction you can measure something along—like how a graph has an up-down dimension and a left-right dimension.

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    Modality & Possibility1 linkedSkepticism1 linked

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    Aristotle's geometric arguments against the existence of an infinite dimension a...

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