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.

When notorious white supremacist Craig Cobb moves into their town, the residents of Leith in North Dakota do what they can to prevent him from taking control of the municipality. Filmed in the days leading up to Cobb's arrest for terrorizing the townspeople on an armed patrol and his subsequent release from jail six months later, the film is an eerie document of American DIY ideals.

Moving on to the Late Eocene period 36 million years ago and mammals have prospered and are now the largest creatures on land and sea. This is an era of animals like andrewsarchus, the biggest mammal carnivore ever to walk on land, and the brontotheres, small-brained herbivores. It is in the sea, however, that the most monstrous mammals of all can be found. We follow the fate of a female basilosaurus, a huge serpent-like early whale, but nothing like the gentle filter feeding whales of the 21st century. Four times the length of the great white shark, with jaws to match, she is every inch a killer.

Documentary which tells the story of the theory of evolution by natural selection which is now scientific orthodoxy, but when it was unveiled it caused a storm of controversy. Many people criticised it for being short on evidence and long on assertion and Darwin, being the honest scientist that he was, agreed with them. He entrusted future generations to complete his work and prove the essential truth of his vision. Evolutionary biologist Professor Armand Marie Leroi argues that, with the new science of evolutionary developmental biology (evo devo), it may be possible to take that theory to a new level - to do more than explain what has evolved in the past, and start to predict what might evolve in the future.

From unexplained flashes in the night sky to flying saucers, this episode delves into the mysterious world of UFOs. How our drive to explain these bizarre phenomena, and desire to discover little green men, has in fact transformed our understanding of the universe

Could the chemicals found in marijuana prevent and even heal several deadly cancers? Could the tumour regulating properties of cannabinoids someday replace the debilitating drugs, chemotherapy, and radiation that harms as often as it heals? Discover the truth about this ancient medicine as world renowned scientists in the field of cannabinoid research explain and illustrate their truly mind-blowing discoveries. A powerful and eye-opening film about the future of cannabis and perhaps even the future of medicine.