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    If spatial distance were constituted by countable interme... — Carmelics
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    Challenges→When there are no intervening material objects between two spatial locations, we must postulate a series of intervening spatial entities to explain comparative distance judgements such as 'A is nearer to D than to F'.

    If spatial distance were constituted by countable intermediary entities, fractional and irrational distances would be conceptually incoherent, which contradicts established geometry.

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    Key Terms

    Conceptually incoherent(as used in epistemology)
    An idea that doesn't make logical sense or contradicts itself when you think it through carefully.
    Constituted by(describing what conditions would make something true)
    Made up of or determined by; in this case, what things would need to happen for something to count as true.
    contradicts established geometry(mathematics/logic)
    Goes against the mathematical rules about shapes, distances, and space that mathematicians have proven to be true.
    countable intermediary entities(metaphysics)
    Individual things you could theoretically count or list that exist between two points; like beads on a string connecting point A to point B.
    fractional distances(geometry/mathematics)

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    Distances that are parts of a whole, like 1.5 units or 3/4 of the way across a room.
    irrational distances(geometry/mathematics)
    Distances that cannot be expressed as a simple fraction, like the diagonal of a square (which equals the square root of 2).

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    2 topics

    Causation1 linkedModality & Possibility1 linked

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    When there are no intervening material objects between two spatial locations, we...

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