Combining Texts

All the ideas for 'Confessions of a Philosopher', 'On the Introduction of Transfinite Numbers' and 'Presupposition'

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8 ideas

4. Formal Logic / A. Syllogistic Logic / 3. Term Logic
19053 Logic would be more natural if negation only referred to predicates [Dummett]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
19052 Natural language 'not' doesn't apply to sentences [Dummett]
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]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
3102 Why don't we experience or remember going to sleep at night? [Magee]