A three part BBC series

In this series, mathematician Dr Hannah Fry explores the mystery of maths. It underpins so much of our modern world that it is hard to imagine life without its technological advances, but where exactly does maths come from? Is it invented like a language or is it something discovered and part of the fabric of the universe? It's a question that some of the most eminent mathematical minds have been wrestling with. Dr Eleanor Knox from King's College London believes it is discovered, Prof Hiranya Peiris from University College London believes it is invented, while Prof Jim Gates from Brown University believes it is both, and Prof Brian Greene from Columbia University has no idea. The jury is very much divided.

Episode II: Expanded Horizons (59 min) | Click here to watch

In this episode, Hannah travels down the fastest zip wire in the world to learn more about Newton's ideas on gravity. His discoveries revealed the movement of the planets was regular and predictable. James Clerk Maxwell unified the ideas of electricity and magnetism, and explained what light was. As if that wasn't enough, he also predicted the existence of radio waves. His tools of the trade were nothing more than pure mathematics. All strong evidence for maths being discovered.

But in the 19th century, maths is turned on its head when new types of geometry are invented. No longer is the kind of geometry we learned in school the final say on the subject. 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.