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

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Mathematics is often about uncovering patterns. For example, certain areas of topology revolve around categorizing knots or geometric shapes, and number theory explores properties such as the ...

For centuries, the concept of infinity has captivated mathematicians and philosophers alike, stretching far beyond the simple idea of endless counting. Recent groundbreaking discoveries, however, have ...

Discover how the concepts of zero and infinity revolutionized mathematics. Zero and infinity. These seemingly opposite, obvious, and indispensable concepts are relatively recent human inventions.