Dr Hannah Fry explores a paradox at the heart of modern maths, discovered by Bertrand Russell, which undermines the very foundations of logic that all of maths is built on. These flaws suggest that maths isn't a true part of the universe but might just be a human language - fallible and imprecise. However, Hannah argues that Einstein's theoretical equations, such as E=mc2 and his theory of general relativity, are so good at predicting the universe that they must be reflecting some basic structure in it. This idea is supported by Kurt Godel, who proved that there are parts of maths that we have to take on faith.
Hannah then explores what maths can reveal about the fundamental building blocks of the universe - the subatomic, quantum world. The maths tells us that particles can exist in two states at once, and yet quantum physics is at the core of photosynthesis and therefore fundamental to most of life on earth - more evidence of discovering mathematical rules in nature. But if we accept that maths is part of the structure of the universe, there are two main problems: firstly, the two main theories that predict and describe the universe - quantum physics and general relativity - are actually incompatible; and secondly, most of the maths behind them suggests the likelihood of something even stranger - multiple universes.
We may just have to accept that the world really is weirder than we thought, and Hannah concludes that while we have invented the language of maths, the structure behind it all is something we discover. And beyond that, it is the debate about the origins of maths that has had the most profound consequences: it has truly transformed the human experience, giving us powerful new number systems and an understanding that now underpins the modern world.

The years 1825-1918 were bloody and traumatic, a period when four tsars tried - and failed - to deal with the growing pressure for constitutional reform and revolution. In 1861, millions of enslaved serfs were freed by the Tsar-Liberator, Alexander II. But Alexander paid the ultimate penalty for opening the Pandora's box of reform when he was later blown up by terrorists on the streets of St Petersburg. Elsewhere, there was repression, denial, war and - in the case of the last tsar, Nicholas II - a fatalistic belief in the power of God, with Nicholas's faith in the notorious holy man Rasputin being a major part in his undoing. Lucy Worsley also details the chilling murder of Nicholas and his family in 1918, and asks whether all of this horror have been avoided.

The saga of a handful of conquerors who built an empire in Central America and invented the methods of one of the very first multinationals. In 19th century Central America, a few entrepreneurial cowboys built an empire that enslaved populations and corrupted governments for over 100 years. The United Fruit Company thrived on unregulated capitalism; this film tells its story and that of its pioneers who feared neither God nor Man, and managed to get away with murder. Until the 1970s, that multinational set up a monopoly by combining violence, repression, corruption, environmental destruction and a formidable marketing machine. It turned an unknown fruit into an instrument of fortune and domination, and created a business model still largely used by today’s tech giants.
Using a rich trove of archival footage and documents, including letters to and from lobbyists, telegrams, vintage ads and movie clips, and gorgeous, hand-tinted stills, 'When Banana Ruled' is a story of intrigue that touches on economics, international politics, the history of business and reveals how an array of forces conquered the world through a simple fruit.

In the third episode of the series, Morgan Freeman examines different faiths' concepts of God, discovering how monotheism began in Egypt and Israel and allowing a neuroscientist to examine his own brain.

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.

A dynamic journey behind the scenes of the next step in the evolution of telescopes: NASA's James Webb Space Telescope. A new generation has been inspired to design and build this massive instrument, which is 100 times more powerful than the Hubble Space Telescope and will be a veritable time machine, capable of looking back on the origins of our universe and identifying signatures of potential life on planets far outside our solar system". With unprecedented access to the people and technologies that power its creation, including astrophysicists, engineers at Northrop Grumman, and personnel from NASA'S Goddard Space Flight Center and the Space Telescope Science Institute, the operations center for Hubble and Webb, Telescope spotlights the high-stakes mission of building this massive new scientific instrument. The film is a comprehensive look at the dynamic history of 400 years of telescopes starting with Galileo in 1609. The Webb is the next great telescope in society's ongoing mission to see farther into the universe and answer fundamental questions that have haunted mankind from the beginning of time. Directed by Oscar nominated filmmaker Nathaniel Kahn