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    Under a Fregean analysis, 'eats' in 'John eats' and 'John... — Carmelics
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    Challenges→It is difficult to maintain that all natural language predicates have a fixed degree.

    Under a Fregean analysis, 'eats' in 'John eats' and 'John eats cake' expresses the same concept with unsaturated positions fixed by sentential context, not variable arity.

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    Reasons For

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    Reason for
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    • 1.Frege's unsaturation analysis explains predicate meaning without positing ambiguity: 'eats' denotes one function needing arguments.
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    • 2.Context-dependence is ubiquitous in language; saturation by sentential context mirrors how pronouns and indexicals work.
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    • 3.Variable arity requires predicates to express multiple distinct concepts, violating compositionality and economy of meaning.
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    Reasons Against

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    • 1.Null-object verbs like 'eat' genuinely allow optional complements; context-saturation doesn't explain this systematic optionality.
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    • 2.The claim conflates semantic saturation with pragmatic implicature; 'John eats' leaves the object semantically open, not resolved by context.
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    • 3.Different argument structures ('eats cake' vs. 'eats') exhibit distinct truth conditions and entailment patterns, suggesting genuinely different predicates.
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    Context-dependence is ubiquitous in language; saturation by sentential context m...Different argument structures ('eats cake' vs. 'eats') exhibit distinct truth co...Frege's unsaturation analysis explains predicate meaning without positing ambigu...It is difficult to maintain that all natural language predicates have a fixed de...
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    Null-object verbs like 'eat' genuinely allow optional complements; context-satur...The claim conflates semantic saturation with pragmatic implicature; 'John eats' ...Variable arity requires predicates to express multiple distinct concepts, violat...

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