Combining Texts

All the ideas for 'Subjective and Objective', 'On the Introduction of Transfinite Numbers' and 'Philosophical Implications of Mathematical logic'

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12 ideas

5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
22329 Logic is highly general truths abstracted from reality [Russell, by Glock]
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]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
3296 Sense-data are a false objectification of what is essentially subjective [Nagel]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
3295 Inner v outer brings astonishment that we are a particular person [Nagel]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
21569 It is good to generalise truths as much as possible [Russell]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
3293 If you assert that we have an ego, you can still ask if that future ego will be me [Nagel]
16. Persons / F. Free Will / 1. Nature of Free Will
3292 The most difficult problem of free will is saying what the problem is [Nagel]
23. Ethics / D. Deontological Ethics / 3. Universalisability
3294 As far as possible we should become instruments to realise what is best from an eternal point of view [Nagel]