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How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – but 100 years on, this trick is a common part of modern maths, says columnist Jacob Aron

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – but 100 years on, this trick is a common part of modern maths, says columnist Jacob Aron

She has won acclaim and countless awards for her body-tapping, raspberry-blowing music. Now she has spent 15 years making her boldest work yet – an epic about birth, infancy and adolescenceIt took Camille 15 years to make her new album. The Sound of Milk is a triple record, each

There are glimpses of the Curb star at his razor-like best here – but they are desperately few. It’s mainly worth watching for the immaculate Obama introIt is always an emotional blow to see former US president Barack Obama pop up on one’s screen. The Instagram algorithm sends me

As she tours the UK, we pick the best of an artist who defined the ‘sad banger’ – but also radiates joy and strength from her perfect pop songsRobyn has written and recorded more striking and melodically rich songs than this, but the opening track of Body Talk Part 1 might be thi

Expect bloody chaos in this drama about a real-life 80s Irish-American gang – featuring JK Simmons as a gang leader – and their dealings with an Italian-American crime family The Peaky Blinders effect lingers on. More than a decade after Tommy Shelby’s debut, TV still loves a rea

The once-high-flying AI chip maker’s stock has now dropped more than 50% from its all-time intraday high hit six weeks ago.

Apple increased prices on select MacBooks and iPads Thursday morning on the heels of a blowout Micron earnings report. O recorte ajuda a contextualizar a pauta dentro de Carreira.

JPMorgan blew past earnings expectations for the second quarter, as CEO Jamie Dimon said markets are booming. O recorte ajuda a contextualizar a pauta dentro de Carreira.

The resolution is the first to pass both the Senate and the House, though it is likely to face a presidential veto. O recorte ajuda a contextualizar a pauta dentro de Geral.

Palestinian rights advocates hail 'political earthquake' in New York as progressives beat several pro-Israel candidates.

Top court's 6-3 ruling major blow to Trump, affirms nearly all infants born on US soil automatically become citizens. O recorte ajuda a contextualizar a pauta dentro de Geral.