Proofs and Refutations
A classroom dialogue uses Euler's polyhedron formula to show how counterexamples reshape proofs and concepts. Two appendices extend the method to analysis and mathematical exposition.
5 parts, about 18 minutes to read.
At a glance
- Author
- Imre Lakatos
- Parts
- 5 parts
- Reading time
- about 18 minutes
What the summary covers
- An inquiry into mathematical discovery1 min
- A conjecture under criticism11 min
- Epsilon’s proposed proof2 min
- Appendix 1: The continuity problem2 min
- Appendix 2: Presenting concepts through their proofs2 min
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