A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

In studying whole numbers, mathematicians have discovered a variety of surprising patterns. One of the most important results of elementary number theory is the so-called law of quadratic reciprocity, ...

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The one source of truth is mathematics. Every statement is a pure logical deduction from foundational axioms, resulting in absolute certainty. Since Andrew Wiles proved Fermat’s Last Theorem, you’d be ...

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...