Combining Texts

All the ideas for 'Hobbes', 'works' and 'Completeness of Axioms of Logic'

expand these ideas     |    start again     |     specify just one area for these texts


4 ideas

4. Formal Logic / C. Predicate Calculus PC / 3. Completeness of PC
Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
For intuitionists excluded middle is an outdated historical convention [Brouwer]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Without confidence in our beliefs, how should we actually live? [Tuck]