Find out about these important results that destroyed a mathematical dream.
Proof is the essence of mathematics. But is the standard of proof in research maths really as high as mathematicians would like to believe?
If you can prove that a statement can't possibly be false, does this mean it's true?
Can physics do for maths what maths has done for physics?
What are mathematical proofs, why do we need them and what can they say about sheep?
Books, brains, computers — information comes in many guises. But what exactly is information?
Are number, space and time features of the outside world or a result of the brain circuitry we have developed to live in it? Some interesting parallels between modern neuroscience and the mathematics of 19th century mathematician Bernard Riemann.