Combining Texts

All the ideas for 'teachings', 'Homeostasis, Species and Higher Taxa' and 'On the Introduction of Transfinite Numbers'

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8 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]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
The properties of an electron can't be explained just as 'clustering' [Chakravartty on Boyd]
Properties cluster together, either because of intrinsic relations, or because of an underlying process [Boyd, by Chakravartty]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Nagarjuna and others pronounced the world of experience to be an illusion [Nagarjuna, by Armstrong,K]