Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'works' and 'The Evolution of Logic'

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 / 3. Axioms for Geometry

13474

Euclid has a unique parallel, spherical geometry has none, and saddle geometry has several [Hart,WD]

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]