Combining Texts

All the ideas for 'Ethical Studies', 'On the Introduction of Transfinite Numbers' and 'The Making of a Philosopher'

expand these ideas     |    start again     |     specify just one area for these texts


8 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
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
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
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
If all mental life were conscious, we would be unable to see things, or to process speech [McGinn]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
If meaning is speaker's intentions, it can be reduced to propositional attitudes, and philosophy of mind [McGinn]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]