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Ideas for 'fragments/reports', 'What is Philosophy?' and 'Nominalism and Substitutional Quantifiers'

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3 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic has an infantile idea of philosophy [Deleuze/Guattari]
     Full Idea: Logic has an infantile idea of philosophy.
     From: G Deleuze / F Guattari (What is Philosophy? [1991], 1.1)
     A reaction: This offers some explanation of why Anglo-American philosophers are steeped in logic, and the continentals just ignore it. I have some sympathy with the French view. Logic seems to study language with all the interesting part drained off.
Logic hates philosophy, and wishes to supplant it [Deleuze/Guattari]
     Full Idea: A real hatred inspires logic's rivalry with, or its will to supplant, philosophy.
     From: G Deleuze / F Guattari (What is Philosophy? [1991], 2.6)
     A reaction: A delightful corrective to the neurotic inferiority that most English-speaking philosophers feel about their failure to master logic. What was Aristotle playing at when he invented logic? Philosophical talent is utterly different from a talent for logic.
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)]
     Full Idea: The nominalist finds that standard semantics shackles him to first-order languages if, as nominalists are wont, he is to make do without abstract higher order objects.
     From: Ruth Barcan Marcus (Nominalism and Substitutional Quantifiers [1978], p.166)
     A reaction: Aha! Since I am pursuing a generally nominalist strategy in metaphysics, I suddenly see that I must adopt a hostile attitude to higher-order logic! Maybe plural quantification is the way to go, with just first-order objects.