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    Church's own Logic of Sense and Denotation (Alternative (... — Carmelics
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    Challenges→Simple Type Theory (STT) gives rise to Russell's Appendix B paradox when supplemented with the principle that propositions differing by a constituent are distinct propositions and a correlation of propositions with classes they mention.

    Church's own Logic of Sense and Denotation (Alternative (0)) individuates propositions by synonymous isomorphism, not mere constituent difference, blocking the diagonal construction.

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    Key Terms

    Church(in the history of logic and computation)
    Alonzo Church (1903-1995), an American logician and mathematician who created formal systems to define what problems can be solved by mathematical procedures.
    Individuates(God individuates each monad)
    The act of making something distinct and separate as its own unique thing.
    Logic of Sense and Denotation(as Church's specific logical theory being described)
    A system in logic that carefully distinguishes between what sentences mean and what they refer to—a framework for understanding how language connects meaning to reality.
    Synonymous isomorphism(as the method for telling propositions apart)
    A fancy way of saying two things have the same meaning and structure—they say the same thing in the same logical form, even if they use different words.

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    constituent(Russellian/direct reference theories of propositions)
    An entity that is literally part of a proposition, as the individual themselves is part of a singular proposition
    diagonal construction(as used in formal logic and mathematics)
    A technical method in logic where you create a new statement by combining or manipulating existing statements in a specific systematic way.
    proposition(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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    2 topics

    Modality & Possibility1 linkedPhilosophy of Language1 linked

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    Simple Type Theory (STT) gives rise to Russell's Appendix B paradox when supplem...

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