How do you prove something is true? For mathematicians, the answer is simple: Start with some basic assumptions and proceed, step by step, to the conclusion. QED, proof complete. If there’s a mistake ...

Ultrafinitism, a philosophy that rejects the infinite, has long been dismissed as mathematical heresy. But it is also producing new insights in math and beyond.

The rise of artificial intelligence has sent a profound shockwave through science and mathematics. Though it started as a research tool, AI has become something more like a partner in creativity, a ...