Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'Tractatus' and 'works'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

3340	Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]

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

18170

The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]

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

3355	Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

22716

Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]

9. Objects / E. Objects over Time / 10. Beginning of an Object

16706

Generation is when local motions aggregate to become a single subject [Nicholas of Autrecourt]