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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

‘Stevie Wonder and Prince played all the instruments on their albums, but in recording studios. I did it all in a back room at home – and then it won two Grammys’I grew up as one of the YouTube generation, with the idea that you could create your own fanbase by making videos. So

Neymar posa para foto ao lado de Jacob Arabo, fundador da Jacob & Co. Redes Sociais Neymar compartilhou uma foto ao lado de Jacob Arabo, fundador da marca de relógios e joias de luxo Jacob & Co. A publicação foi feita nesta quinta-feira (25), nas redes sociais do jogador e também

England lose three wickets for eleven runs as Joe Root, Jacob Bethell and Jamie Smith are dismissed early on day three of the third Test against New Zealand at Trent Bridge.

The shadow of Iceland 2016 is all the warning England should need not to take for granted a winnable-looking first knockout game of the tournamentIt was the 10th anniversary last Saturday of the Iceland debacle. Kolbeinn Sigthórsson’s winner sliding underneath Joe Hart’s dive, Wa

‘Don’t start to doubt’: Tuchel wants patienceEmail us | Bracketology | World Cup DailyThe view from England now, and Jacob Steinberg’s preview of today’s game:The part where Tuchel earns his corn starts now. England’s target at the World Cup is to put a second star on the shirt b

It was an almost Iceland in Atlanta but Thomas Tuchel will have to get it right from the start in the cauldron of AztecaIt was looking bleak out there. Ten years on, it was looking like Iceland all over again. The clock was ticking and the panic was rising. The Democratic Republi

Jacob was in Atlanta last night to witness England’s Harry Kane-led comeback against DR Congo. He is online now answering all your questions about the Three Lions’ chances against Mexico, England’s defensive frailties and anything else you’d like to knowSign in or sign up to post

British tennis player Arthur Fery became the last British singles player standing after Katie Swan, Jacob Fearnley and Jan Choinski all bowed out at Wimbledon on Thursday.

India 190-7; England 191-6; England win by four wktsBethell’s 76 helps England chase 191 in second T20Vaibhav Sooryavanshi was both headline act and bit-part player on a chill, windswept Manchester afternoon. He made his hotly anticipated debut to become, at 15 years and 99 days,

Jacob Bethell fired an unbeaten 76 off 46 balls as England beat India by four wickets in the second T20I at Old Trafford, spoiling Vaibhav Sooryavanshi's international debut as the 15-year-old made history in Manchester