Combining Philosophers

All the ideas for Archimedes, Hilbert,D/Ackermann,W and Timothy Smiley

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

---

3 ideas

4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC

17750

The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]

11. Knowledge Aims / A. Knowledge / 2. Understanding

18810

Aristotle's proofs give understanding, so it can't be otherwise, so consequence is necessary [Smiley, by Rumfitt]