Combining Texts

All the ideas for 'fragments/reports', 'Brain Bisection and Unity of Consciousness' and 'On the Introduction of Transfinite Numbers'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
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]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
Brain bisection suggests unity of mind isn't all-or-nothing [Nagel, by Lockwood]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
We may be unable to abandon personal identity, even when split-brains have undermined it [Nagel]