Combining Texts

All the ideas for 'Confessions of a Philosopher', 'On the Introduction of Transfinite Numbers' and 'Aristotle and Kant on the Source of Value'

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11 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]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
3102 Why don't we experience or remember going to sleep at night? [Magee]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
18225 If we can't reason about value, we can reason about the unconditional source of value [Korsgaard]
18228 An end can't be an ultimate value just because it is useless! [Korsgaard]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
18224 Goodness is given either by a psychological state, or the attribution of a property [Korsgaard]
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
18233 Contemplation is final because it is an activity which is not a process [Korsgaard]
18226 For Aristotle, contemplation consists purely of understanding [Korsgaard]