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    If values of propositional functions are sentences, then ... — Carmelics
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    Challenges→A coherent semantics of Russell's formalized language cannot be provided on the basis that values of propositional functions are sentences.

    If values of propositional functions are sentences, then sentences must also be substituted for propositional variables.

    Modality & PossibilityPhilosophy of Language
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    Related propositions within the same area of thought.
    A coherent semantics of Russell's formalized language cannot be provided on the ...If sentences are substituted for propositional variables, it would be necessary ...Taking sentences as names of sentences is semantically incoherent.

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    Many passages in [(Russell 1908)] and [(Whitehead and Russell 1910–13)] may be understood as saying or as having the consequence that the values of propositional functions are sentences. But a coherent semantics of Russell’s formalized language can hardly be provided on this basis (notice in particular, that, since sentences are also substituted for propositional variables, it would be necessary to take sentences as names of sentences.) And since the passages in question seem to involve confusio

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