Combining Texts

Ideas for 'Philosophy of Mathematics', 'Community' and 'Thinking About Logic'

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

display all the ideas for this combination of texts

---

5 ideas

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

10885

Computer proofs don't provide explanations [Horsten]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order

10979

Although second-order arithmetic is incomplete, it can fully model normal arithmetic [Read]

10980

Second-order arithmetic covers all properties, ensuring categoricity [Read]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers

10997

Von Neumann numbers are helpful, but don't correctly describe numbers [Read]

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]