Combining Texts

All the ideas for 'Dialektik', 'Grundlagen (Foundations of Theory of Manifolds)' and 'Difficulties of Transfinite Numbers and Types'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism

21558

'Predicative' norms are those which define a class [Russell]

21559

We need rules for deciding which norms are predicative (unless none of them are) [Russell]

19. Language / E. Analyticity / 4. Analytic/Synthetic Critique

20959

Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher]