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 ...

(Phys.org)—A trio of researchers has solved a single math problem by using a supercomputer to grind through over a trillion color combination possibilities, and in the process has generated the ...

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.

In his article on mathematical proofs, Marcus du Sautoy raises the issue of the acceptability to mathematicians of computer-assisted proofs: “the possibility remains that a glitch is hiding ...

Mathematicians using the computer program Lean have verified the accuracy of a difficult theorem at the cutting edge of research mathematics. Computer proof assistants have been an intriguing subplot ...