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    Without stable identity conditions for the replaced ideas... — Carmelics
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    Challenges→The simultaneous replacement of multiple ideas in a proposition yields a uniquely determined variant proposition

    Without stable identity conditions for the replaced ideas, the 'same' replacement sequence applied to the 'same' proposition can yield extensionally divergent variant propositions.

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    Key Terms

    Replacement (in logic)(as used in formal logic and philosophy of language)
    Swapping out one element in a statement or formula for another element to see what happens to the meaning.
    Variant propositions(as used in logic and philosophy of language)
    Different versions or forms of a statement that result from making changes to parts of the original statement.
    extensionally divergent(logic and semantics)
    When two rules or methods give different results—they pick different things as true or false even though they're supposed to do the same job.
    identity conditions(Metaphysics of mental states)
    The criteria that determine what makes an entity the same entity across time or contexts, i.e., what individuates it.
    proposition

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    (Used in the context of a semantic theory sensitive to differences in subject matter.)
    The content expressed by a sentence, individuated at least in part by the subject matter of the sentence and the contents of its subsentential expressions.

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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

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    The simultaneous replacement of multiple ideas in a proposition yields a uniquel...

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