Constructive mathematics reconsiders traditional foundational approaches by emphasising explicit constructions and algorithmic content rather than relying solely on non-constructive existence proofs.

Somewhere at the edge of mathematics lurks a number so large that it breaks the very foundations of our understanding - and ...

Mathematical truths are often born of the conflict between order and disorder. Mathematicians discover patterns, and, to better understand the mysterious forces at play, they look for countervailing ...

Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

In “The Great Math War,” Jason Socrates Bardi takes on a battle for the soul of numbers that divided the experts of its day. By Jordan Ellenberg Jordan Ellenberg, a professor of mathematics at the ...