Combining Texts

All the ideas for 'Structure and Nature', 'Anti-Semite and Jew' and 'On the Introduction of Transfinite Numbers'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489 Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10242 I apply structuralism to concrete and abstract objects indiscriminately [Quine]
7. Existence / D. Theories of Reality / 6. Physicalism
10243 My ontology is quarks etc., classes of such things, classes of such classes etc. [Quine]
23. Ethics / F. Existentialism / 6. Authentic Self
22232 Authenticity is taking responsibility for a situation, with all its risks and emotions [Sartre]