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

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 ...

There’s a question you hear in high schools all around the world, a question that marks yet another student giving up on maths once and for all: “Why on earth are we learning something that we’ll ...

If √2 is rational, one can construct an isosceles right triangle of minimal integer side lengths. This implies that the hypotenuse is even, leading to a contradiction of the minimality. Journal ...