J. R. Brown, Philosophy of mathematics: an introduction to the world of proofs and pictures, Routledge (1999). 2. R. B. Nelsen, Proofs without words I: exercises in ...
A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...
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Two US high school girls rewrite 2,000 years of mathematics with a new Pythagorean proof once thought untouchable
For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...
When two mathematicians raised pointed questions about a classic proof that no one really understood, they ignited a years-long debate about how much could be trusted in a new kind of geometry. In the ...
Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...
The original version of this story appeared in Quanta Magazine. In 1917, the Japanese mathematician Sōichi Kakeya posed what at first seemed like nothing more than a fun exercise in geometry. Lay an ...
AI now seems to be helping mathematicians produce novel and useful research with regularity. In a significant milestone for ...
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