The laws of physics imply that the passage of time is an illusion. To avoid this conclusion, we might have to rethink the reality of infinitely precise numbers. Strangely, although we feel as if we ...

For thousands of years, philosophers have pondered cardinality: knowing “how many.” Using a series of crude estimates, the ancient Greek mathematician Archimedes worked out the approximate number of ...

With a surprising new proof, two young mathematicians have found a bridge across the finite-infinite divide, helping at the same time to map this strange boundary. The boundary does not pass between ...