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    If aRb and bRa are grounded in the same pair of accidents... — Carmelics
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    Challenges→Relations are accidents of single subjects, not joint properties of pairs of subjects.

    If aRb and bRa are grounded in the same pair of accidents F(a) and G(b), then the asymmetry of directed relations like 'x is taller than y' becomes inexplicable on the monadic accident model.

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    Key Terms

    F(a) and G(b)(used in formal logic and metaphysics)
    Symbolic shorthand meaning 'property F belongs to object a' and 'property G belongs to object b'—a way to formally write out which qualities belong to which things.
    aRb and bRa(used in logic and metaphysics to describe relationships)
    Symbolic notation meaning 'a has relation R to b' and 'b has relation R to a'—basically showing a relationship that goes both directions between two things.
    accidents(Aristotelian terminology as used by Abner)
    Properties such as magnitude, weight, and quantity that are superadded to a body's underlying divine substance.
    asymmetry of directed relations(as used in logic to describe one-directional relationships)
    The idea that some relationships only work one way—like 'being taller than' goes in one direction only (if Alice is taller than Bob, Bob is not taller than Alice).

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    grounded in(whether distinctness or identity is explained by intrinsic features)
    To be explained by or to have its reason or basis in something else—like how a tree being wet is grounded in (explained by) recent rain.
    monadic accident model(as used in metaphysics to explain how properties work)
    A theory that says properties belong to individual things by themselves, without reference to other things—the idea that being tall is just something one object has on its own.

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    Causation1 linkedModality & Possibility1 linked

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    Relations are accidents of single subjects, not joint properties of pairs of sub...

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