Combining Texts

All the ideas for 'New System and Explanation of New System', 'On the Very Idea of a Third Dogma' and 'On the Introduction of Transfinite Numbers'

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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
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
5044 Reality must be made of basic unities, which will be animated, substantial points [Leibniz]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
5045 No machine or mere organised matter could have a unified self [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
5046 The soul does know bodies, although they do not influence one another [Leibniz]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
19045 Translation is too flimsy a notion to support theories of cultural incommensurability [Quine]
27. Natural Reality / G. Biology / 2. Life
5043 To regard animals as mere machines may be possible, but seems improbable [Leibniz]