I have very fond memories of high school geometry. Memorizing theorems wasn't too hard, and solving proofs was like solving the logic puzzles that I did for fun anyway. But the theorems were scattered ...
At 25, Kurt Gödel proved there can never be a mathematical “theory of everything.” Columnist Natalie Wolchover explores the implications. In 1931, by turning logic on itself, Kurt Gödel proved a pair ...
Automated theorem proving in geometry systems unites symbolic logic, computer algebra and machine learning to verify and discover geometric propositions without human intervention. Historically rooted ...
If two people pick alternate slices from a pizza that has been cut unevenly from an off-centre point, common sense suggests one of them will walk away with more. But geometry says otherwise.In the ...
The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or two to tell you about fascinating ideas from their corner of the universe.
Great visual proof of Pythagoras Theorem. The STARTER activity is about four famous characters and what they all have in common? Pythagoras ofcourse. I would ask two questions for the starter: 1) Do ...