We take the real numbers for granted, but what are they really?
A game involving biscuits and maths — what could be better?
Take a quick trip to the foundations of probability theory.
Need to find the least common multiple or greatest common divisor of two numbers? A billiard table of the right proportions holds the answers!
Randomness is surprisingly hard to define. Fortunately the mathematical language we use to describe it is beautifully well defined.
Symmetry is one of the two guiding principles in understanding probabilities – if different outcomes are equivalent they should have the same probability.
The second guiding principle in probability theory is more subtle – universality.
Here's a resolution for one of probability theory's most famous paradoxes.