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    Black's two-sphere universe contains no relational or qua... — Carmelics
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    Supports→A = B (the two spheres are identical), which is absurd given that one has a scratch and the other does not — therefore the Principle of Identity of Indiscernibles fails

    Black's two-sphere universe contains no relational or qualitative asymmetry; any apparent distinction collapses into bare numerical difference, which presupposes rather than explains non-identity.

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    Key Terms

    Black's two-sphere universe(the main subject being discussed)
    A thought experiment by philosopher Max Black imagining two identical spheres existing in otherwise empty space, used to explore whether two things can be truly different if they have exactly the same properties.
    Non-Identity(Used to establish that each newly introduced form of likeness (L2, L3, ...) is distinct from its predecessors)
    The principle that a form is numerically distinct from the particulars (or other forms) that partake of it
    Presupposes(as describing what Plantinga's argument takes for granted)
    Assumes something to be true without proving it—like how an argument might presuppose that logic works, without first arguing that logic is valid.
    Relational asymmetry(as describing the one-way or uneven nature of God's relationship with creation)
    The idea that a relationship might work differently depending on which direction you look at it—like how a parent affects a child in a different way than a child affects a parent.

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    bare numerical difference(the only remaining difference when other types of differences vanish)
    The idea that two things are simply counted as two separate things, even if they're completely identical in every way—the difference is just that there are two of them, not one.
    qualitative asymmetry(types of differences being analyzed)
    A difference in the actual qualities or properties of things—like one sphere being red and another being blue.

    Connections

    2 topics

    Modality & Possibility1 linkedPersonal Identity1 linked

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    A = B (the two spheres are identical), which is absurd given that one has a scra...

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