Combining Texts
Ideas for
'Metaphysics: the logical approach', 'Principia Mathematica' and 'Philosophy of Natural Science'
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6 ideas
4. Formal Logic / F. Set Theory ST / 1. Set Theory
3326
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Set theory attempts to reduce the 'is' of predication to mathematics [Benardete,JA]
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3327
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The set of Greeks is included in the set of men, but isn't a member of it [Benardete,JA]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
3335
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The standard Z-F Intuition version of set theory has about ten agreed axioms [Benardete,JA, by PG]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
21720
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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
10044
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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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18208
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We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead]
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