Combining Texts

Ideas for 'fragments/reports', 'Guidebook to Wittgenstein's Tractatus' and 'Philosophy of Mathematics'

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

display all the ideas for this combination of texts

---

5 ideas

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

23460

To count, we must distinguish things, and have a series with successors in it [Morris,M]

23451

Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]

23452

Discriminating things for counting implies concepts of identity and distinctness [Morris,M]

6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics

10885

Computer proofs don't provide explanations [Horsten]

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

10881

The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]