Combining Texts
Ideas for
'Constitutional Code I', 'Principia Mathematica' and 'A Plea for Substitutional Quantification'
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5 ideas
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
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The best known axiomatization of PL is Whitehead/Russell, with four axioms and two rules [Russell/Whitehead, by Hughes/Cresswell]
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4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
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Modal logic is not an extensional language [Parsons,C]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
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Russell saw Reducibility as legitimate for reducing classes to logic [Linsky,B on Russell/Whitehead]
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4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
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Russell denies extensional sets, because the null can't be a collection, and the singleton is just its element [Russell/Whitehead, by Shapiro]
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We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead]
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