Combining Texts

All the ideas for 'Leibniz', 'The Nature of Judgement' and 'On the Introduction of Transfinite Numbers'

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10 ideas

1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / b. Modern philosophy beginnings
Moore's 'The Nature of Judgement' (1898) marked the rejection (with Russell) of idealism [Moore,GE, by Grayling]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis for Moore and Russell is carving up the world, not investigating language [Moore,GE, by Monk]
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]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
The Identity of Indiscernibles is really the same as the verification principle [Jolley]
19. Language / D. Propositions / 3. Concrete Propositions
Moor bypassed problems of correspondence by saying true propositions ARE facts [Moore,GE, by Potter]
19. Language / D. Propositions / 5. Unity of Propositions
Hegelians say propositions defy analysis, but Moore says they can be broken down [Moore,GE, by Monk]