Combining Texts

All the ideas for 'works', 'Notice of Fine's 'Limits of Abstraction'' and 'An Axiomatization of Set Theory'

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 / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]

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]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

9141	Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert]