Combining Texts

All the ideas for 'Wisdom', 'There is No A Priori (and reply)' and 'On the Introduction of Transfinite Numbers'

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8 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
19695 The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb]
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]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
19565 How could the mind have a link to the necessary character of reality? [Devitt]
12. Knowledge Sources / A. A Priori Knowledge / 11. Denying the A Priori
19564 Some knowledge must be empirical; naturalism implies that all knowledge is like that [Devitt]