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When we learn something new, that information does not exist in isolation. It integrates into the complex landscape of our knowledge, forging connections with existing ideas and opening up ...

Every December 8 for years, Julia Robinson blew out the candles on her birthday cake and made the same wish: that someday she would know the answer to Hilbert’s 10th problem. Though she worked on the ...

The philosophy of mathematical practice and knowledge investigates how mathematics is actually done, rather than only its formal structures or abstract foundations. It examines the methods, heuristics ...

Every day, dozens of like-minded mathematicians gather on an online forum called Zulip to build what they believe is the future of their field. They’re all devotees of a software program called Lean.

When I tell someone I am a mathematician, one of the most curious common reactions is: “I really liked math class because everything was either right or wrong. There is no ambiguity or doubt.” I ...