The one source of truth is mathematics. Every statement is a pure logical deduction from foundational axioms, resulting in absolute certainty. Since Andrew Wiles proved Fermat’s Last Theorem, you’d be ...

Math students may not blink at calculating probabilities, measuring the area beneath curves or evaluating matrices, yet they ...

Computer-assisted of mathematical proofs are not new. For example, computers were used to confirm the so-called 'four color theorem.' In a short release, 'Proof by computer,' the American Mathematical ...

Every day, dozens of like-minded mathematicians gather on an online forum called Zulip to build what they believe is the future of their field. They’re all devotees of a software program called Lean.

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 ...

Paul Erdős, the famously eccentric, peripatetic and prolific 20th-century mathematician, was fond of the idea that God has a celestial volume containing the perfect proof of every mathematical theorem ...

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...

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

Despite multiple conferences dedicated to explicating Mochizuki’s proof, number theorists have struggled to come to grips with its underlying ideas. His series of papers, which total more than 500 ...

Turbulence is one of the least understood phenomena of the physical world. Long considered too hard to understand and predict mathematically, turbulence is the reason the Navier-Stokes equations, ...