Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Second Philosophy' and 'On the Introduction of Transfinite Numbers'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
21757 Philosophy is the conceptual essence of the shape of history [Hegel]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10594 Henkin semantics is more plausible for plural logic than for second-order logic [Maddy]
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
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]