Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'An Axiomatization of Set Theory' and 'Mechanism, purpose and explan. exclusion'

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

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4 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

15943

Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

13672

All the axioms for mathematics presuppose set theory [Neumann]

14. Science / D. Explanation / 1. Explanation / a. Explanation

14470

Explanatory exclusion: there cannot be two separate complete explanations of a single event [Kim]