Ideas from 'Mathematical logic and theory of types' by Bertrand Russell [1908], by Theme Structure
[found in 'Logic and Knowledge' by Russell,Bertrand (ed/tr Marsh,Robert Charles) [Routledge 1956,0415090741]].
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4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
11064

Classes can be reduced to propositional functions

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
6407

The class of classes which lack selfmembership leads to a contradiction

6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
10418

Type theory seems an extreme reaction, since selfexemplification is often innocuous

10047

Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
18126

A set does not exist unless at least one of its specifications is predicative

18128

Russell is a conceptualist here, saying some abstracta only exist because definitions create them

18124

Vicious Circle says if it is expressed using the whole collection, it can't be in the collection
