Mathematics

The new math intern: How AI can be a mathematician’s best assistant

Mathematics is hard, even for artificial intelligence (AI). So, when Google DeepMind’s AlphaProof and AlphaGeometry2 achieved the impressive feat of solving 4 out of 6 problems at the International Math Olympiad (IMO), mathematicians began revisiting an old question: can AI do mathematical research? Terence Tao, a professor of mathematics at the University of California, Los […]

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Hole in the heart of math: Gödel’s incompleteness theorem and the fallacy of truth  

In 1931, at just 25 years old, Austrian logician Kurt Gödel shattered the foundations of mathematics. In 300 BCE, the philosopher Euclid developed proofs, which are logical arguments mathematicians use to justify how a statement about numbers is true. Axioms, which are irrefutable, are basic statements that are used to form the foundations of these

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