Article The real numbers and Cauchy sequences We take the real numbers for granted, but what are they really?
Article Mathematical mysteries: Transcendental meditation Nineteenth-century German mathematician Leopold Kronecker once said God created the integers, all the rest is the work of man.
Article The origins of proof III: Proof and puzzles through the ages For millennia, puzzles and paradoxes have forced mathematicians to continually rethink their ideas of what proofs actually are. Jon Walthoe explains the tricks involved and how great thinkers like Pythagoras, Newton and Gödel tackled the problems.