Combining Philosophers
Ideas for Rescher,N/Oppenheim,P, Jonathan Tallant and Willard Quine
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14 ideas
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / a. Symbols of PL
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22435
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The logician's '→' does not mean the English if-then [Quine]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
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9013
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We can eliminate 'or' from our basic theory, by paraphrasing 'p or q' as 'not(not-p and not-q)' [Quine]
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4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
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10928
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Maybe we can quantify modally if the objects are intensional, but it seems unlikely [Quine]
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5745
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Quine says quantified modal logic creates nonsense, bad ontology, and false essentialism [Melia on Quine]
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13591
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Quantified modal logic collapses if essence is withdrawn [Quine]
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4. Formal Logic / D. Modal Logic ML / 6. Temporal Logic
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22433
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It is important that the quantification over temporal entities is timeless [Quine]
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4. Formal Logic / F. Set Theory ST / 1. Set Theory
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3302
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Set theory is full of Platonist metaphysics, so Quine aimed to keep it separate from logic [Quine, by Benardete,JA]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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9879
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NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
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10211
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Quine wants V = L for a cleaner theory, despite the scepticism of most theorists [Quine, by Shapiro]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
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21717
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Reducibility undermines type ramification, and is committed to the existence of functions [Quine, by Linsky,B]
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18170
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The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
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21695
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The set scheme discredited by paradoxes is actually the most natural one [Quine]
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4. Formal Logic / F. Set Theory ST / 7. Natural Sets
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21693
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Russell's antinomy challenged the idea that any condition can produce a set [Quine]
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4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
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3336
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Two things can never entail three things [Quine, by Benardete,JA]
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