Combining Texts

All the ideas for 'fragments/reports', 'Killing and Letting Die' 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]
20. Action / C. Motives for Action / 5. Action Dilemmas / c. Omissions
It is not true that killing and allowing to die (or acts and omissions) are morally indistinguishable [Foot]
Making a runaway tram kill one person instead of five is diverting a fatal sequence, not initiating one [Foot]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
25. Social Practice / C. Rights / 1. Basis of Rights
The right of non-interference (with a 'negative duty'), and the right to goods/services ('positive') [Foot]