In 1935, Albert Einstein, working with Boris Podolsky and Nathan Rosen, grappled with a possibility revealed by the new laws of quantum physics: that two particles could be entangled, or correlated, ...

If you thought the mathematical proofs you did in high school were long, you haven’t seen the newest one out of the University of Liverpool — computer scientists Alexei Lisitsa and Boris Konev came up ...

A New Computer Proof ‘Blows Up’ Centuries-Old Fluid Equations For more than 250 years, mathematicians have wondered if the Euler equations might sometimes fail to describe a fluid’s flow. Now there’s ...

November 6, 2008, Providence, RI---New computer tools have the potential to revolutionize the practice of mathematics by providing far more-reliable proofs of mathematical results than have ever been ...

A computer-assisted proof of a 150-year-old mathematical conjecture can at last be checked by human mathematicians. The Four Colour Theorem, proposed by Francis Guthrie in 1852, states that any four ...

New computer tools have the potential to revolutionize the practice of mathematics by providing more-reliable proofs of mathematical results than have ever been possible in the history of humankind.

Physicists have spent decades arguing over whether our universe is a fundamental reality or a kind of cosmic software, and ...

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...

Breakthroughs, discoveries, and DIY tips sent every weekday. Terms of Service and Privacy Policy. This week, Google announced a breakthrough that could prove its ...

Your news feature “Does the proof stack up?” (Nature 424, 12; 200310.1038/424012a) — addressing the difficulties faced by mathematicians in verifying the computer-aided putative proof of Kepler's ...

“Don’t touch this problem. It’s too difficult. You may not get anywhere, and you may never graduate.” That was the advice computer scientist Clement W.H. Lam received more than 30 years ago when he ...