Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Virtues of the Mind' and 'Frege philosophy of mathematics'

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

display all the ideas for this combination of texts

---

4 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

17887

PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

17891

Arithmetical undecidability is always settled at the next stage up [Koellner]

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

9829	The identity of a number may be fixed by something outside structure - by counting [Dummett]

9828	Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]