Mathematics

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‘Ahead of his time’: AI helps unlock discoveries hidden in notebooks of man who transformed maths

Kurt Gödel left 1,009 pages of densely written text – much of it in an obsolete shorthand – which is now said to contain hundreds of proved theoremsThe Austrian logician Kurt Gödel was one of the most original thinkers of the 20th century. His two incompleteness theorems, published in 1931, transformed mathematics and paved the

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The efficiency trap: why optimising everything can backfire, badly

From roundabouts to the stock market, relentless streamlining could be making the world more dangerousWe have all been there: packed shoulder to shoulder on the train while the person beside us coughs and sneezes. A protective flu jab offers some reassurance, but so does the thought that there will be a hospital bed for you,

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MIT affiliates named 2026 Schmidt Sciences AI2050 Fellows

Five MIT faculty members and two additional alumni were recently named to the 2026 cohort of AI2050 Fellows. The honor is announced annually by Schmidt Sciences, Eric and Wendy Schmidt’s philanthropic initiative that aims to accelerate scientific innovation. Conceived and co-chaired by Eric Schmidt and James Manyika, AI2050 is a philanthropic initiative aimed at helping to solve hard

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In the age of AI, learning maths is even more vital | Letters

Readers react to Simon Jenkins’ article that said it’s more important for children to learn how to speak fluently than study mathematics Simon Jenkins must have had a deeply unpleasant experience of learning maths at school because he seems to have a pathological antipathy towards it (We are teaching children maths they will never use.

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OpenAI’s release of mathematical findings draws concerns from experts

Leaders worry OpenAI is not doing due diligence to vet results and that AI models aren’t accessible to broader field of mathematicians OpenAI has astounded mathematicians after releasing hundreds of new mathematical findings on Tuesday.The company published over 370 mathematical results across a variety of topics such as algebra, theoretical computer science and mathematical logic,

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The dark art of maths and the AI revolution | Letter

Bev Littlewood reminds us that mathematics has been the prime driver of the rise in AI, in response to an editorialYou report in your leader that some mathematicians feel discomfiture at the AI solution to a Navier-Stokes problem (The Guardian view on AI v mathematicians: humans are still vital to the field, but tech firms

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The Guardian view on AI v mathematicians: humans are still vital to the field, but tech firms refuse to see that | Editorial

OpenAI claims its agents have solved the Navier-Stokes problem. But questions remain about how useful and independent its work really isOn 8 September, OpenAI claimed that its AI agents had solved the Navier-Stokes problem, one of the most famous and difficult challenges in mathematics. Had a human solved it, they would have collected both prize

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Open AI and the million dollar maths problem – video

In early September, OpenAI announced it had solved a major mathematics problem that has stumped humans for nearly a century. The news left mathematicians reeling, and many expressed concern over what will be left for humans as AI becomes ever more adept at unravelling complex problems. Now 25 recipients of the Fields medal – often

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The week that changed maths for ever – podcast

In early September, OpenAI announced it had solved a major mathematics problem that has stumped humans for nearly a century. The news left mathematicians reeling, and many expressed concern over what will be left for humans as AI becomes ever more adept at unravelling complex problems. Now 25 recipients of the Fields medal – often

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