Randomness is surprisingly hard to define. Fortunately the mathematical language we use to describe it is beautifully well defined.
The second guiding principle in probability theory is more subtle – universality.
Symmetry is one of the two guiding principles in understanding probabilities – if different outcomes are equivalent they should have the same probability.
Here's a resolution for one of probability theory's most famous paradoxes.
Cambridge researchers, the BBC, and thousands of citizen scientists have created a revolutionary infectious disease data set.
Double counting proves a neat result in graph theory.
Can physics do for maths what maths has done for physics?
A quick tour to some of Hawking's most significant achievements.