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.

Leading authority on the Middle Ages, Professor Robert Bartlett, presents a series which examines the way we thought during medieval times. In the second episode, Bartlett unearths remarkable evidence of the complex passions of Medieval men and women. The Church preached hatred of the flesh, promoted the cult of virginity and condemned woman as the sinful heir to Eve. Yet this was the era that gave birth to the idea of romantic love.

The title of Ava DuVernay's extraordinary and galvanizing documentary refers to the 13th Amendment to the Constitution, which reads 'Neither slavery nor involuntary servitude, except as a punishment for crime whereof the party shall have been duly convicted, shall exist within the United States.' The progression from that second qualifying clause to the horrors of mass criminalization and the sprawling American prison industry is laid out by DuVernay with bracing lucidity. With a potent mixture of archival footage and testimony from a dazzling array of activists, politicians, historians, and formerly incarcerated women and men, DuVernay creates a work of grand historical synthesis.

The 1950's - the iconic Scuderia Ferrari battle to stay on top in one of the deadliest decades in motor racing history. Cars and drivers were pushed to their limits, and the competition for the world championship meant racing on a knife edge where one mistake could take a life. At the centre of it all was Enzo Ferrari, a towering figure in motor racing who was driven to win at any cost.
Amidst the stiff competition within his Ferrari team, two of its British stars, Peter Collins and Mike Hawthorn, put friendship first and the championship second. Ferrari: Race to Immortality tells the story of the loves and losses, triumphs and tragedy of Ferrari's most celebrated drivers in an era where they lived la dolce vita during the week and it was win or die on any given Sunday.

Professor Marcus du Sautoy explores why we are driven to measure and quantify the world around us and why we have reduced the universe to just a handful of fundamental units of measurement. He tells the story of the metre and the second - how an astonishing journey across revolutionary France gave birth to the metre, and how scientists today are continuing to redefine the measurement of time and length, with extraordinary results.

In August 1977, the Big Ear Radio-telescope in Ohio received a strange signal from the Sagittarius constellation while searching for intelligent extra-terrestrial life. It had a duration of 72 seconds and an intensity 30 times higher than usual. Named the Wow signal, it is still being considered as one of the best examples of having being sent by intelligent extraterrestrial life. But, nothing has revolutionised the search of extra-terrestrial intelligent life as much as the recent discovery by the Kepler Satellite, of thousands of Earth-like planets where life could be possible. Join the debate with this stunning documentary, as we ask Is Anybody Out There?