Combining Texts

All the ideas for 'Confessions of a Philosopher', 'On the Introduction of Transfinite Numbers' and 'The New Organon'

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9 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]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
16639 Only individual bodies exist [Bacon]
9. Objects / C. Structure of Objects / 2. Hylomorphism / c. Form as causal
16033 There are only individual bodies containing law-based powers, and the Forms are these laws [Bacon]
14. Science / B. Scientific Theories / 2. Aim of Science
21950 Science must clear away the idols of the mind if they are ever going to find the truth [Bacon]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
3102 Why don't we experience or remember going to sleep at night? [Magee]