infinity

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise.

These games combine quantum entanglement, infinity and impossible-to-calculate winning probabilities. But if researchers can crack them, they’ll reveal deep mathematical secrets.

A two-player game can reveal whether the universe has an infinite amount of complexity.

Two mathematicians have proved that two different infinities are equal in size, settling a long-standing question. Their proof rests on a surprising link between the sizes of infinities and the complexity of mathematical theories.

What can the mathematical genius Srinivasa Ramanujan teach us about number theory through mathematical structures involving infinity?

Insights from the mathematical genius Srinivasa Ramanujan give us a number of ways to explore the infinite.

Hilbert’s Hotel, an incredibly thin triangle and an elliptical pool table help us test the concept of infinity in the physical world.

Three puzzles test whether the concept of infinity has purchase in the physical world.

A surprising new proof is helping to connect the mathematics of infinity to the physical world.