Ultrafinitism, a philosophy that rejects the infinite, has long been dismissed as mathematical heresy. But it is also ...

Humanity has explored numbers for a long time. Then, it encountered infinity, a state too vast to even imagine, and fell into deep thought. As time passed, the word 'infinity' entered our daily lives, ...

The notion of infinity is fundamentally beyond the human ability to comprehend, but that hasn’t stopped mathematicians from trying. So just what is infinity, and why is there more than one of them?

Is there an infinity of infinities? The question sounds almost absurd, like a riddle designed to twist your brain into knots. But for mathematicians, it’s a serious — and endlessly fascinating — ...

Zermelo-Fraenkel set theory is so widely accepted that modern mathematicians hardly think about it. But believing in its core ...

IF YOU were forced to learn long division at school, you might have had cause to curse whoever invented arithmetic. A wearisome whirl of divisors and dividends, of bringing the next digit down and ...

Numbers rarely make headlines, but pi has a habit of doing exactly that. The famous constant, which is best known from school math as 3.14—never actually ends, and its digits never repeat their ...