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Ideas for 'On the Question of Absolute Undecidability', 'Principia Mathematica' and 'works'

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6 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL

9542	The best known axiomatization of PL is Whitehead/Russell, with four axioms and two rules [Russell/Whitehead, by Hughes/Cresswell]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

17884

Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]

17893

'Reflection principles' say the whole truth about sets can't be captured [Koellner]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

21720

Russell saw Reducibility as legitimate for reducing classes to logic [Linsky,B on Russell/Whitehead]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

10044

Russell denies extensional sets, because the null can't be a collection, and the singleton is just its element [Russell/Whitehead, by Shapiro]

18208

We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead]