Combining Texts

Ideas for 'The Architecture of Theories', 'Philosophical Fragments' and 'Investigations in the Foundations of Set Theory I'

expand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

3 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers

18178

For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy]

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

13027

Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique

9627	Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR]