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Euclid

The Oracle

The mathematician and the oracle

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On August 24, Levent Alpöge (@__alpoge__) posted on X.com that they had solved a maths problem with Claude’s help in a way that was contrary to a human proof of it, albeit a reputedly unsatisfactory… 

Geometry’s near-miss that wasn’t

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The extent of Euclidean geometry’s imperfections only really came to light when physicists used Riemann’s geometry to set up the theories of relativity.