Lion Hunting with mathematics:
1.1 The Hilbert, or axiomatic, method
We place a locked cage at a given point of the desert. We then introduce the following logical system.
- Axiom 1: The class of lions in the Sahara Desert is non-void.
- Axiom 2: If there is a lion in the Sahara Desert, there is a lion in the cage.
- Rule of procedure: If p is a theorem, and ‘p implies q’ is a theorem, then q is a theorem.
- Theorem 1: There exists a lion in the cage.