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    A variable that 'contains a verb' in its substitution ins... — Carmelics
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    Challenges→The propositional variables 'p' and 'q' have sentential status and can legitimately fill argument-slots of truth-functions

    A variable that 'contains a verb' in its substitution instances does not itself possess verbal or sentential status any more than 'x' becomes a number by ranging over numbers.

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    Reasons For

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    Reason for
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    • 1.Variables are notational placeholders whose metaphysical nature is independent of their substitution instances.
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    • 2.A numeral 'x' remains a symbol, not a number, despite ranging over numbers in quantification.
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    • 3.Confusing a variable's domain with the variable's own category commits a type-level fallacy.
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    Reasons Against

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    Reason against
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    • 1.Variables gain their functional role and semantic content precisely from what ranges over them.
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    • 2.If variables have no intrinsic verbal character, substitution instances should be unpredictable, yet they're not.
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    • 3.The analogy fails: 'x' is notational, but sentence variables express predicative function similar to verbs themselves.
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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

    Related

    A numeral 'x' remains a symbol, not a number, despite ranging over numbers in qu...Confusing a variable's domain with the variable's own category commits a type-le...If variables have no intrinsic verbal character, substitution instances should b...The analogy fails: 'x' is notational, but sentence variables express predicative...
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    The propositional variables 'p' and 'q' have sentential status and can legitimat...Variables are notational placeholders whose metaphysical nature is independent o...Variables gain their functional role and semantic content precisely from what ra...

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