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    Jones must endorse Hamilton's view that predicates are qu... — Carmelics
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    Jones must endorse Hamilton's view that predicates are quantified in order to retain the thesis that significant assertion is the assertion of an identity

    Philosophy of LanguageTruth & Knowledge
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    2 reasons against

    Reasons For

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    Reason for
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    • 1.Without quantified predicates, 'All humans are mortal' entails the nonsensical 'Mortals are all humans'
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    • 2.With quantified predicates, the entailed consequence 'Some mortals are all humans' is intelligible as a near-identity statement
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    • 3.Jones's core thesis requires that significant assertions be interpretable as identity assertions
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    Reasons Against

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    Reason against 1 of 2
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    • 1.Frege demonstrated in Begriffsschrift that predication is irreducibly asymmetric: the function-argument structure cannot be collapsed into identity without loss of inferential power.
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    • 2.Jones's identity thesis, if it requires Hamilton's quantified predicates, inherits the circularity Bradley identified: quantifying predicates already presupposes a relational structure that mere identity cannot ground.
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    Reason against 2 of 2
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    • 1.Venn and Jevons showed that Hamilton's quantification of the predicate generates redundant and logically ill-formed propositions that violate the principle of parsimony in formal systems.
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    • 2.A thesis requiring a flawed logical apparatus as its necessary condition is undermined by the availability of Boole's algebraic logic, which preserves propositional significance without quantifying predicates.
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    Related

    A thesis requiring a flawed logical apparatus as its necessary condition is unde...Frege demonstrated in Begriffsschrift that predication is irreducibly asymmetric...Jones's core thesis requires that significant assertions be interpretable as ide...Jones's identity thesis, if it requires Hamilton's quantified predicates, inheri...
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    Venn and Jevons showed that Hamilton's quantification of the predicate generates...With quantified predicates, the entailed consequence 'Some mortals are all human...Without quantified predicates, 'All humans are mortal' entails the nonsensical '...

    Similar

    Jones's core thesis requires that significant assertions be interpreta...85%Formal predication and essential predication do require such identity.78%Habitudinal predication does not require any kind of identity between ...77%Lange's argument requires presupposing a notion of identity of proofs77%

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    SEP: emily-elizabeth-constance-jones
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    The endorsement of Hamilton’s view might seem perverse—and, in fact, Jones is elsewhere critical of his view (1906, 35–6)—but it is necessary if Jones is to retain the view that significant assertion is, at root, the assertion of an identity. After all, if ‘All humans are mortal’ asserts an identity, then, given that identity is commutative, it entails the apparently nonsensical ‘Mortals are all humans.’ The result is at least intelligible if we suppose that the predicate is also quantified—if,
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    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
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