Dr Hannah Fry 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. He showed that infinity, far from being infinitely big, actually comes in different sizes, some bigger than others. This increasingly weird world is feeling more and more like something we've invented. But if that's the case, why is maths so uncannily good at predicting the world around us? Invented or discovered, this question just got a lot harder to answer.
Schwalmstadt Maximum Security Prison in Germany. Locked up behind the walls of this 12th-century castle are 188 of Germany's worst offenders. The prison is a fortress surrounded by a moat, and houses dangerous criminals, many of whom attend intense therapy sessions.
With increasing rumours of a pending arrest intensified, the Bhagwan flees the ranch. The two Learjets carrying Rajneesh and ten of his followers lands at the Charlotte airport, where U.S. police were waiting for them. The United States Marshals Service arrests Rajneesh. Almost simultaneously, Sheela and several followers are also arrested in Germany. In a federal court in Portland, Bhagwan Shree Rajneesh pleads guilty to immigration fraud charges and agrees to leave the country. The Bhagwan's devotees -- and his enemies -- reflect on his legacy.
A bizarre 3,000 year-old gold relic crafted with intricately designed cryptic patterns is believed to form a highly complex celestial code; using advanced imaging technology, experts speculate that it could be an ancient device for predicting the future. Professor Timothy Koeth at Maryland University received a package containing a curiously heavy two-inch black cube. It comes with a message: "Taken from Germany from the nuclear reactor that Hitler tried to build."
In 1940, France has fallen and Hitler orders Operation Sealion, the invasion of Great Britain. But first the Luftwaffe must defeat the RAF for seaborne landings to succeed. In July 1940 an epic struggle in the skies above England begins. Only a brilliant defensive system and the bravery of young pilots stand in the Luftwaffe’s way. Wave after wave of German bombers are attacked by British planes. Featuring the last interview with the youngest Spitfire-pilot in the battle, Geoffrey Wellum.
Mid-1942, as Hitler’s forces are pushing into southern Russia to take the oilfields, he spies a city prized by his enemy Stalin – Stalingrad. If Hitler can capture this city, he can expand his empire all the way to the Urals. But what Hitler hasn’t counted on is the enormous resilience of the Soviet people; men and women willing to defend their Motherland at all costs. What ensues at Stalingrad is one of the bloodiest battles in the history of warfare, with an estimated 2 million total casualties, and an event that turns the tide for the Germans.
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. He showed that infinity, far from being infinitely big, actually comes in different sizes, some bigger than others. This increasingly weird world is feeling more and more like something we've invented. But if that's the case, why is maths so uncannily good at predicting the world around us? Invented or discovered, this question just got a lot harder to answer.