Combining Texts

All the ideas for 'fragments/reports', 'Lectures on the Philosophy of Right' and 'On the Introduction of Transfinite Numbers'

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9 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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
We are only free, with rights, if we claim our freedom, and there are no natural rights [Hegel, by Houlgate]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
Representatives by region ignores whether they care about the national interest [Hegel, by Pinkard]
25. Social Practice / C. Rights / 1. Basis of Rights
The absolute right is the right to have rights [Hegel]