Combining Texts

Ideas for 'On the Question of Absolute Undecidability', 'Regressive Method for Premises in Mathematics' and 'Essays on Active Powers 1: Active power'

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 / 2. Proof in Mathematics

17627

It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]

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]