Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'works' and 'Prcis of 'Ruling Passions''

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 / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]

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 / 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]

22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory

11911

Some philosophers always want more from morality; for others, nature is enough [Blackburn]