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Mathematician Dr Hannah Fry explores the mystery of maths. It underpins so much of our modern world that it's 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. To investigate this question, Hannah goes head first down the fastest zip wire in the world to learn more about Newton's law of gravity, she paraglides to understand where the theory of maths and its practice application collide, and she travels to infinity and beyond to discover that some infinities are bigger than others.
In this episode, Hannah goes back to the time of the ancient Greeks to find out why they were so fascinated by the connection between beautiful music and maths. The patterns our ancestors found in music are all around us, from the way a sunflower stores its seeds to the number of petals in a flower. Even the shapes of some of the smallest structures in nature, such as viruses, seem to follow the rules of maths. All strong evidence for maths being discovered. But there are those who claim maths is all in our heads and something we invented. To find out if this is true, Hannah has her brain scanned. It turns out there is a place in all our brains where we do maths, but that doesn't prove its invented.
Experiments with infants, who have never had a maths lesson in their lives, suggests we all come hardwired to do maths. Far from being a creation of the human mind, this is evidence for maths being something we discover. Then along comes the invention of zero to help make counting more convenient and the creation of imaginary numbers, and the balance is tilted in the direction of maths being something we invented. The question of whether maths is invented or discovered just got a whole lot more difficult to answer

The very heart of Africa is covered in dense tropical rainforest. The animals that live here find the most ingenious ways to carve out their space in a claustrophobic landscape. Danger lurks in every shadow, but some animals thrive here, from honey-stealing chimps to birds with a lineage as old as the dinosaurs, thundering elephants and kick-boxing frogs. Here in the Congo, no matter how tough the competition, you must stand up and fight for yourself and your patch.

The car has shrunk the world, increased personal freedom and in so many ways expanded our horizons, but there is a flipside. Fumes from car exhausts have helped to destroy our environment, poisoned the air we breathe and killed us in far more straightforward ways. But all that is going to change. Enter a world where cars can drive themselves, a world where we are simply passengers, ferried about by wholesome green compassionate technology which will never ever go wrong. And it is almost here. Explore the artificial intelligence required to replace human drivers for cars themselves, peers into the future driverless world and discovers that, despite the glossy driverless PR (and assuming that they really can be made to work reliably), the reality is that it might not be all good news. From the ethics of driverless car crashes to the impact on jobs, it might be that cars are about to rise up against us in ways that none of us are expecting.

Angela Rippon and Dr Chris van Tulleken travel the world in search of the latest science that could help us all stay young and healthy for longer. They investigate the best ways to help both our bodies and brains age better. Up first is the body, and Angela travels to Germany to join a groundbreaking study which reveals the exercise that holds off ageing the most. Chris visits America to find out about the unexpected diet that can add years to our lives. And in Ecuador we meet a seventeen-year-old who looks like a child to discover how scientists hope he may hold the key to preventing the diseases of ageing.

Between 1850 and 1950, three cataclysmic revolutions shook China to the core, but out of them, today's China emerged. The film begins in Canton with the meeting of a US missionary and a Chinese student. Inspired by the Christian story and calling himself God's second son, Hong unleashed the bloodiest war of the 19th century, the Taiping Rebellion.
As imperial China weakened, foreign influence grew. Treaty ports expanded, bringing growth and wealth, trams, railways and western sensibilities. But this provoked another surge of violence, the Boxer Rebellion, an attack against the foreigners, which was crushed by those same foreigners, who extorted a huge indemnity - $60 billion in today's money.
Then in 1912, the empire fell, and many groups contested China's future. In World War I, China sent 100,000 men to the western front, only to be humiliated at Versailles when German colonies in China were handed to Japan. Between the two world wars, the disparity between rich and poor, city and countryside increased. We visit Hong Kong's Peninsular Hotel in the jazz age and then follow Mao on the Long March to Yan'an, the heartland of revolution.
World War II came to China two years earlier than it did in the west. Wood talks to a survivor of the Japanese massacre of Nanjing in 1937 and then charts the triumph of the communists, before ending the story with Mao's death and the boom time of the last 30 years. The series ends with the warmth of the Chinese family and, at Beijing's Altar of Heaven, a final haunting glimpse of eternal China.

In this episode he traces India in the days of the Roman Empire. In Kerala the spice trade opened India to the world, whilst gold and silk bazaars in the ancient city of Madurai were a delight for visiting Greek traders. From the deserts of Turkmenistan Michael travels down the Khyber Pass to Pakistan to discover a forgotten Indian Empire that opened up the Silk Route and at Peshawar built a lost Wonder of the World.