Combining Texts

All the ideas for 'Intellectual Norms and Foundations of Mind', 'On the Introduction of Transfinite Numbers' and 'Moral Arguments'

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10 ideas

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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
22375 Moral judgements need more than the relevant facts, if the same facts lead to 'x is good' and 'x is bad' [Foot]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
22378 We can't affirm a duty without saying why it matters if it is not performed [Foot]
22377 Whether someone is rude is judged by agreed criteria, so the facts dictate the value [Foot]
22376 Facts and values are connected if we cannot choose what counts as evidence of rightness [Foot]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
14349 If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry]