Combining Texts

All the ideas for 'fragments/reports', 'On the Introduction of Transfinite Numbers' and 'The History of Animals'

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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]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
15119 Aristotelian explanation by essence may need to draw on knowledge of other essences [Aristotle, by Koslicki]
19. Language / B. Reference / 1. Reference theories
1757 The Electra: she knows this man, but not that he is her brother [Eucleides, by Diog. Laertius]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
3028 The chief good is unity, sometimes seen as prudence, or God, or intellect [Eucleides]
27. Natural Reality / G. Biology / 2. Life
23302 Plants have far less life than animals, but more life than other corporeal entities [Aristotle]
27. Natural Reality / G. Biology / 3. Evolution
23301 There is a gradual proceeding from the inanimate to animals, with no clear borderlines [Aristotle]