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.

Discover the Eras of the Universe and the answer to this big question: When Will Time End? Once the notion that the universe started with a rapid inflation nicknamed the Big Bang became accepted by the majority of scientists, many possible fates are predicted by rival scientific hypotheses, including futures of both finite and infinite duration. The ultimate fate of the universe is dependent on the shape of the universe and what role Dark energy will play as the universe ages.

An informative and ambitious journey exploring how the evolution of scientific understanding is intimately interwoven with society's historical path. The Story Of Science tells the forces that came together to create scientific knowledge; the practical business of making instruments and machines; the great forces of history – revolutions, voyages of discovery and artistic movements – and the dogged determination of scientists and experimenters. This is the story of how scientific ideas shaped the modern world and how science made history. Michael Mosley begins the first episode with the story of one of the great upheavals in human history - how we came to understand that our planet was not at the centre of everything in the cosmos, but just one of billions of bodies in a vast and expanding universe. He reveals the critical role of medieval astrologers in changing our view of the heavens, and the surprising connections to the upheavals of the Renaissance, the growth of coffee shops and Californian oil and railway barons. Michael shows how important the practical skills of craftsmen have been to this story and finds out how Galileo made his telescope to peer at the heavens and by doing so helped change our view of the universe forever.

This four-part British television series outlines aspects of the history of mathematics. Written and presented by University of Oxford professor Marcus du Sautoy, it is a co-production between the Open University and the BBC. In the first episode, Marcus du Sautoy in Egypt uncovers use of a decimal system based on ten fingers of the hand and discovers that the way we tell the time is based on the Babylonian Base 60 number system. In Greece, he looks at the contributions of some of the giants of mathematics including Plato, Archimedes and Pythagoras, who is credited with beginning the transformation of mathematics from a counting tool into the analytical subject of today. A controversial figure, Pythagoras’ teachings were considered suspect and his followers seen as social outcasts and a little be strange and not in the norm. There is a legend going around that one of his followers, Hippasus, was drowned when he announced his discovery of irrational numbers. As well as his work on the properties of right angled triangles, Pythagoras developed another important theory after observing musical instruments. He discovered that the intervals between harmonious musical notes are always in whole number intervals.

Comet ISON can well be the brightest and most spectacular comet for a generation. It appeared above the eastern horizon from December 2013 as a glorious streak across the sky. ISON has been travelling towards the sun for ten thousand years and will make only one orbit through its corona before disappearing off into the outer solar system.
But as well as providing a great spectacle, ISON's tail of vaporised gas and water, hundreds of millions of kilometres long, will give insights into some of the greatest mysteries of science; it will help explain the origins of the solar system, whether earth's water was delivered on comets and even whether we are alone in the universe.

This fascinating journey of exploration of the connection of all things in the Universe is narrated by the legendary Sir Patrick Stewart. With the lens of science, the film reveals the mechanism linking everything in the cosmos.