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    Montague demonstrated that natural language has a rigorou... — Carmelics
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    Challenges→We need a Begriffsschrift, distinct from natural languages, to depict the structures of propositions expressed by ordinary sentences.

    Montague demonstrated that natural language has a rigorous compositional semantics expressible within intensional type theory without recourse to a separate Begriffsschrift.

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    1 reason for
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    Reasons For

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    Reason for
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    • 1.Montague's framework successfully formalized quantification, intensionality, and scope ambiguities that previous logical systems handled inadequately.
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    • 2.Natural language compositionality—where sentence meaning derives from parts and structure—is empirically demonstrated through systematic productivity of new utterances.
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    • 3.Intensional type theory provides a unified framework for semantic phenomena without requiring external notation, proving formal elegance and foundational adequacy.
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    Reasons Against

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    • 1.Natural language contains context-dependent, non-compositional meaning phenomena (e.g., idioms, metaphor, pragmatic implicature) that resist formal type-theoretic treatment.
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    • 2.Montague's approach artificially restricts natural language to a well-formed subset and presupposes logical structure not obviously present in actual linguistic competence.
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    • 3.The claim conflates formal modelability with explanation of actual cognitive processes; showing natural language *can* be formalized doesn't prove it *operates* that way.
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    Related

    Intensional type theory provides a unified framework for semantic phenomena with...Montague's approach artificially restricts natural language to a well-formed sub...Montague's framework successfully formalized quantification, intensionality, and...Natural language compositionality—where sentence meaning derives from parts and ...
    +3 moreShow less
    Natural language contains context-dependent, non-compositional meaning phenomena...The claim conflates formal modelability with explanation of actual cognitive pro...We need a Begriffsschrift, distinct from natural languages, to depict the struct...

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