Combining Texts

All the ideas for 'Introduction to Russell's Theory of Types', 'On the Introduction of Transfinite Numbers' and 'The Sublime and the Good'

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

11 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
18170 The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]
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]
21. Aesthetics / B. Nature of Art / 1. Defining Art
22709 We should first decide what are the great works of art, with aesthetic theory following from that [Murdoch]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
22715 Great art proves the absurdity of art for art's sake [Murdoch]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
22714 Because art is love, it improves us morally [Murdoch]
22712 Art and morals are essentially the same, and are both identical with love [Murdoch]
22. Metaethics / B. Value / 2. Values / g. Love
22713 Love is realising something other than oneself is real [Murdoch]