Magic Numbers: Hannah Fry's Mysterious World of Maths: Expanded Horizons

Documentary series in which mathematician Dr Hannah Fry explores the mystery of maths - is it invented like a language, or is it discovered and part of the fabric of the universe? In this episode, Hannah travels down the fastest zip wire in the world to learn more about Newton's ideas on gravity; along with James Clerk Maxwell's ideas on electricity, magnetism and light, they constitute evidence for maths being discovered. But in the 19th century, maths is turned on its head when new types of geometry are invented. If maths is more like a game, albeit a complicated one, where we can change the rules, surely this points to maths being something we invent - a product of the human mind. To try and answer this question, Hannah travels to Halle in Germany on the trail of perhaps one of the greatest mathematicians of the 20th century, Georg Cantor. He showed that infinity, far from being infinitely big, actually comes in different sizes, some bigger than others.