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    If multiple co-extensive concepts are candidates for a si... — Carmelics
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    Challenges→The correlation between concepts and extensions established by Basic Law V must be a function — no concept gets correlated with two distinct extensions.

    If multiple co-extensive concepts are candidates for a single extension, the Va direction alone does not rule out a non-functional one-to-many correlation at the level of senses rather than references.

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    Key Terms

    Va direction(as used in this particular philosophical argument)
    A specific logical test or constraint (likely referring to a particular philosophical framework or direction of analysis) used to determine what possibilities can be ruled out.
    co-extensive concepts(as used in philosophy of language and logic)
    Two or more different ideas or meanings that apply to exactly the same things in the world.
    extension(Semantics and philosophy of language)
    Another term for reference, i.e., the object or set of objects a term picks out
    non-functional(as used in logic and mathematics)
    A relationship or connection that doesn't follow a predictable rule—where the same input doesn't always produce the same output.
    one-to-many correlation

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    (as used in logic and philosophy of language)
    A relationship where one thing corresponds to or connects with multiple different things.
    reference(Distinguished from intension in the context of possible worlds semantics)
    The actual-world referent of an expression; what the expression picks out in the actual world.
    sense(Fregean semantics)
    The mode of presentation by which a name presents its referent; the component of meaning that can differ between two co-referential names

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    2 topics

    Proof of definition segments1 linkedPhilosophy of Language1 linked

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    The correlation between concepts and extensions established by Basic Law V must ...

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