Alan Turing and the Power of Negative Thinking
Turing’s diagonalization proof is a version of this game where the questions run through the infinite list of possible algorithms,
Read moreTuring’s diagonalization proof is a version of this game where the questions run through the infinite list of possible algorithms,
Read moreThe original version of this story appeared in Quanta Magazine. In 1917, the Japanese mathematician Sōichi Kakeya posed what at
Read moreHeule, however, found the discovery of past results invigorating. It demonstrated that other researchers found the problem important enough to
Read moreDespite the wild success of ChatGPT and other large language models, the artificial neural networks (ANNs) that underpin these systems
Read moreIn the fall of 2017, Mehtaab Sawhney, then an undergraduate at the Massachusetts Institute of Technology, joined a graduate reading
Read moreLet’s Make a Deal—With Python!
Read moreThen last fall, Milman came up for sabbatical and decided to visit Neeman so the pair could make a concentrated
Read moreIt’s a radical view of quantum behavior that many physicists take seriously. “I consider it completely real,” said Richard MacKenzie,
Read moreThe cosmos seems to have a preference for things that are round. Planets and stars tend to be spheres because
Read moreIn their paper, posted online in late November 2022, a key part of the proof involves showing that, for the
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