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    If the passage between two minimal magnitudes is neither ... — Carmelics
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    Supports→Postulating a smallest magnitude does not resolve Zeno's dichotomy paradox but instead generates a new motion paradox

    If the passage between two minimal magnitudes is neither divisible nor occupiable, then the minimal-magnitude hypothesis cannot coherently assign any modal status to the transitional state.

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    Key Terms

    Coherently(as describing how these functions work together)
    In a way that is logically consistent and doesn't contradict itself.
    Modal status(as used in metaphysics and logic)
    Whether something is necessary (must be true), possible (could be true), or contingent (just happens to be true). 'Modal' refers to these kinds of distinctions about how things *could be* versus how they actually are.
    divisible(number theory / primitive recursive arithmetic)
    A natural number y is divisible by x if and only if there exists a z such that x × z = y (i.e., x divides y without remainder)
    minimal magnitudes(as used in metaphysics and the philosophy of space)
    The smallest possible units or quantities that can exist—like asking whether there's a tiniest possible size that matter can't be divided smaller than.

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    minimal-magnitude hypothesis(as used in metaphysics and philosophy of science)
    A theory claiming that there exists a smallest possible size or quantity in the universe that cannot be made any smaller.
    occupiable(as used in philosophy of space and physics)
    Able to be occupied, filled, or taken up by something physical or in space.
    transitional state(as used in metaphysics)
    A condition or stage that exists between two different things as something changes from one to the other.

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    2 topics

    Causation1 linkedModality & Possibility1 linked

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    Postulating a smallest magnitude does not resolve Zeno's dichotomy paradox but i...

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