Melvyn Bragg and guests AC Grayling, Beatrice Han-Pile and Christopher Janaway discuss the dark, pessimistic philosophy of Arthur Schopenhauer.As a radical young thinker in Germany in the early 19th century, Schopenhauer railed against the dominant ideas of the day. He dismissed the pre-eminent German philosopher Georg Hegel as a pompous charlatan, and turned instead to the Enlightenment thinking of Immanuel Kant for inspiration. Schopenhauer's central idea was that everything in the world was driven by the Will - broadly, the ceaseless desire to live. But this, he argued, left us swinging pointlessly between suffering and boredom. The only escape from the tyranny of the Will was to be found in art, and particularly in music. Schopenhauer was influenced by Eastern philosophy, and in turn his own work had an impact well beyond the philosophical tradition in the West, helping to shape the work of artists and writers from Richard Wagner to Marcel Proust, and Albert Camus to Sigmund Freud.AC Grayling is Professor of Philosophy at Birkbeck College, University of London; Beatrice Han-Pile is Professor of Philosophy at the University of Essex; Christopher Janaway is Professor of Philosophy at the University of Southampton.

Melvyn Bragg and guests Richard Corfield, Jane Francis and Sanjeev Gupta discuss the geological formation of Britain.Around 600 million years ago the island that we now call Britain was in two parts, far to the south of the Equator. Scotland and north-western Ireland were part of a continent (Laurentia) that also included what is now North America. To the south-east, near the Antarctic Circle, meanwhile, you would have found southern Ireland, England and Wales. They formed a mini-continent (Avalonia) with what is now Newfoundland.Over the course of hundreds of millions of years, as they inched their way north, the two parts came together - first as part of a vast unitary continent (Pangaea), later as a promontory on the edge of Europe, and eventually, as sea levels rose, as an island. The story of how Britain came to be where it is now, in its current shape - from the separation of North America and Europe to the carving out of the English Channel - is still being uncovered today.Richard Corfield is Visiting Senior Resarch Fellow at Oxford University; Jane Francis is Professor of Palaeoclimatology at the University of Leeds; Sanjeev Gupta is a Royal Society-Leverhulme Trust Research Fellow at Imperial College London.

Melvyn Bragg and guests John Guy, Clare Jackson and Helen Hackett discuss the death of Queen Elizabeth I and its immediate impact, as a foreign monarch became King in the face of plots and plague.By the spring of 1603, Elizabeth had been Queen for 44 years, and it was clear that she would leave no heir. Many feared that her death would spark insurrection, led perhaps by Puritans, perhaps by Catholics, possibly with the support of Spain. As it became clear that she was dying, Elizabeth's chief minister, Sir Robert Cecil, put into action his covert strategy to secure the succession of King James the Sixth of Scotland.What follows is a story of plots, plague and high politics, as a foreign monarch brought a thoroughly Continental approach to Kingship to the English throne. James's accession was widely welcomed, but his relationship with Cecil was initially tense, and his long procession south from Edinburgh attracted both celebration and criticism. His treatise on Kingship, published on his succession, became a bestseller in London - at least until an outbreak of plague, which also drove him from the capital not long after he arrived. His coronation was hurried through to circumvent plots against him, but his triumphal entry into London had to be delayed until a year after Elizabeth's death. And, as the high expectations which first greeted James were increasingly frustrated, the English started to invoke the ghost of their dead Queen to criticise their new ruler.John Guy is a Fellow of Clare College, University of Cambridge; Clare Jackson is Lecturer and Director of Studies in History at Trinity Hall, University of Cambridge; Helen Hackett is Reader in English at University College, London.

Melvyn Bragg and guests Robert Gildea, Ruth Harris and Robert Tombs discuss the Dreyfus Affair, the 1890s scandal which divided opinion in France for a generation.In 1894, a high-flying Jewish staff officer in the French Army, one Alfred Dreyfus, was convicted of spying for the Prussians. He was publicly humiliated: before a large Paris crowd, he was stripped of his badges of rank and his sword was ceremonially broken. Some of those watching shouted 'Down with Judas!' Then he was dispatched to Devil's Island. But when it emerged that Dreyfus was innocent, a scandal erupted which engulfed the Army, the Church and French society as a whole, exposing deep political rifts, and the nation's endemic anti-Semitism. It pitted Catholics against Republicans, provoked fighting in the streets, and led to the prosecution of the novelist Emile Zola, after his famous J'Accuse polemic against those protecting the real spy and so prolonging Dreyfus's suffering. The Affair became so divisive that it posed a serious threat to the French Republic itself. Finally, in 1905, it prompted the separation of Church and State. The scandal and the anti-Semitism at the heart of it cast a very long shadow. In 1945, when the ultra-nationalist one-time 'anti-Dreyfusard' Charles Maurras was convicted of collaborating with the Nazis, he reacted by declaring that his punishment was Dreyfus's revenge. Robert Gildea is Professor of Modern History at Oxford University; Ruth Harris is Lecturer in Modern History at Oxford University; Robert Tombs is Professor of French History at Cambridge University.

Melvyn Bragg and guests Elizabeth Frood, Richard Parkinson and Kate Spence discuss the Pharaoh Akhenaten, the ruler who brought revolutionary change to ancient Egypt. During his reign, Akhenaten embarked on a profoundly radical project: he set out to transform his people's deepest religious beliefs, moving from a polytheistic tradition to the elevation of a single solar god, Aten. The changes in art and architecture that followed have led some to call him 'history's first individual'. Despite his successors' attempts to obliterate him from the historical record, Akhenaten - and his wife Nefertiti - have been an endless source of fascination and speculation.Richard Parkinson is an Egyptologist at the British Museum; Elizabeth Frood is a Lecturer in Egyptology at the University of Oxford; Kate Spence is a Lecturer in the Archaeology of Ancient Egypt at the University of Cambridge.

Melvyn Bragg discusses the epic feud between Sir Isaac Newton and Gottfried Leibniz over who invented an astonishingly powerful new mathematical tool - calculus. Both claimed to have conceived it independently, but the argument soon descended into a bitter battle over priority, plagiarism and philosophy. Set against the backdrop of the Hanoverian succession to the English throne and the formation of the Royal Society, the fight pitted England against Europe, geometric notation against algebra. It was fundamental to the grounding of a mathematical system which is one of the keys to the modern world, allowing us to do everything from predicting the pressure building behind a dam to tracking the position of a space shuttle.Melvyn is joined by Simon Schaffer, Professor of History of Science at the University of Cambridge and Fellow of Darwin College; Patricia Fara, Senior Tutor at Clare College, University of Cambridge; and Jackie Stedall, Departmental Lecturer in History of Mathematics at the University of Oxford.

Melvyn Bragg discusses the life, works and enduring influence of the medieval philosopher and theologian St Thomas Aquinas with Martin Palmer, John Haldane and Annabel Brett. St Thomas Aquinas' ideas remain at the heart of the official doctrine of the Roman Catholic Church today and inform philosophical debates on human rights, natural law and what constitutes a 'just war'.Martin Palmer is Director of the International Consultancy on Religion, Education and Culture; John Haldane is Professor of Philosophy at the University of St Andrews; Annabel Brett is Lecturer in History at Gonville and Caius College, Cambridge.

Melvyn Bragg and guests Martin Brasier, Richard Corfield and Rachel Wood discuss the Ediacara Biota, the Precambrian life forms which vanished 542 million years ago, and whose discovery proved Darwin right in a way he never imagined. Darwin was convinced that there must have been life before the Cambrian era, but he didn't think it was possible for fossils like the Ediacara to have been preserved. These sea-bed organisms were first unearthed in the 19th century, but were only recognised as Precambrian in the mid-20th century. This was an astonishing discovery. Ever since, scientists have been working to determine its significance. Were the Ediacara the earliest forms of animal life? Or were they a Darwinian dead end? Either way, it is argued, they reveal some of the secrets of the workings of evolution. Richard Corfield is Senior Lecturer in Earth Sciences at the Open University; Martin Brasier is Professor of Palaeobiology at the University of Oxford; Rachel Wood is Lecturer in Carbonate Geoscience at the University of Edinburgh.

Melvyn Bragg discusses Logical Positivism, the eye-wateringly radical early 20th century philosophical movement. The Logical Positivists argued that much previous philosophy was built on very shaky foundations, and they wanted to go right back to the drawing board. They insisted that philosophy - and science - had to be much more rigorous before it started making grand claims about the world. The movement began with the Vienna Circle, a group of philosophically-trained scientists and scientifically-trained philosophers, who met on Thursdays, in 'Red Vienna', in the years after the First World War. They were trying to remould philosophy in a world turned upside down not just by war, but by major advances in science. Their hero was not Descartes or Hegel but Albert Einstein. The group's new doctrine rejected great swathes of earlier philosophy, from meditations on the existence of God to declarations on the nature of History, as utterly meaningless. When the Nazis took power, they fled to England and America, where their ideas put down new roots, and went on to have a profound impact.Melvyn is joined by Barry Smith, Professor of Philosophy at the University of London; Nancy Cartwright, Professor of Philosophy at the London School of Economics; and Thomas Uebel, Professor of Philosophy at Manchester University.

Melvyn Bragg and guests Amira Bennison, Robert Gleave and Hugh Kennedy discuss the split between the Sunni and the Shia. This schism came to dominate early Islam, and yet it did not spring at first from a deep theological disagreement, but rather from a dispute about who should succeed the Prophet Muhammad, and on what grounds. The supporters of the Prophet's cousin Ali argued for the hereditary principle; their opponents championed systems of selection. Ali's followers were to become the Shia; the supporters of selection were to become Sunnis.It is a story that takes us from Medina to Syria and on into Iraq, that takes in complex family loyalties, civil war and the killing at Karbala of the Prophet's grandson. Husayn has been commemorated as a martyr by the Shia ever since, and his death helped to formalise the divide as first a political and then a profoundly theological separation.Amira Bennison is Senior Lecturer in Middle Eastern and Islamic Studies at the University of Cambridge; Robert Gleave is Professor of Arabic Studies at the University of Exeter; Hugh Kennedy is Professor of Arabic in the School of Oriental and African Studies at the University of London.