Combining Texts

All the ideas for 'The Dappled World', 'On the Introduction of Transfinite Numbers' and 'Does Consciousness Exist?'

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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]
14. Science / B. Scientific Theories / 1. Scientific Theory
Theories can never represent accurately, because their components are abstract [Cartwright,N, by Portides]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Consciousness is not a stuff, but is explained by the relations between experiences [James]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
'Consciousness' is a nonentity, a mere echo of the disappearing 'soul' [James]