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This year has left mathematicians reeling as AI models are increasingly solving seemingly intractable maths problems. Terence Tao, the world's leading mathematician, says a rethink of the entire field is the only way out of the crisis

Why are we so susceptible to clickbait? Columnist Jacob Aron traces it to a surprising source: a mathematical framework that paved the way for much of how the modern world works

O carioca Tião conquistou a terceira colocação e entrou para o Guinness World Records como o chimpanzé mais votado do mundo.

Underbelly, Bristo Square, Edinburgh Quaz Degraft draws on his knowledge of high finance for these misadventures in a material, misogynist worldYou don’t hear much about the American dream these days, but for Kofi Grady, a first generation Ghanaian American, the opportunity for b

Senior Fifa duo pile pressure on under-fire presidentWenger reveals he knew nothing about investment planGianni Infantino’s authority was dealt a further blow after his No 2, the Fifa secretary general Mattias Grafström, called the failed World Cup private investment plan a “sad

World No 2 pulls out of ATP Masters 1000 event in CincinnatiSpaniard has been sidelined since April with ongoing wrist injuryCarlos Alcaraz has pulled out of the Cincinnati Open due to an ⁠ongoing wrist injury, casting fresh doubts over the Spaniard’s fitness ahead of his ⁠US Ope

While many leaders compare the wildfire crisis to the second world war, governments fail to adopt the real lessons of pre-emptive wartime actionAs France and Spain battle historic wildfires, comparisons to the second world war abound. “One of the continent’s biggest evacuation ef

Bid team reach agreement with West Ham to use stadiumHost city for event to be announced in SeptemberLondon has submitted its bid for the 2029 World Athletics Championships after reaching an agreement with West Ham to allow it to host the event in September.World Athletics is yet

Never before has a big name rejected Istanbul for Trabzon, but former Liverpool striker was offered more than richesIt began with a text sent during the World Cup. Ertugrul Dogan, the president of Trabzonspor, was watching Egypt when he picked up his phone and messaged his manage

This detritivore – known by a range of colourful names – tidies up our world and can withstand toxic pollutionRevealed: the top 10 invertebrates of the yearChucky pig. Slater. Monkey pea. Roly-poly. Boat-builder. Butchy boy. Cheeselog. Hobbling Andrew. Wood pig. If there were a p

Smart's #2 is a revamp of its original tiny two-seater, and the brand is revealing its final design through murals in major cities around the world.

Gianni Infantino is facing intense heat over a failed plan to privatize the World Cup. He is a lawyer who rose to the pinnacle of soccer and is now trying to hold onto his job.