Melvyn Bragg and guests discuss the ideas, people and events that have shaped our world.
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Negative Numbers
Melvyn Bragg and guests discuss negative numbers, a history of mystery and suspicion. In 1759 the British mathematician Francis Maseres wrote that negative numbers "darken the very whole doctrines of the equations and make dark of the things which are in their nature excessively obvious and simple". Because of their dark and mysterious nature, Maseres concluded that negative numbers did not exist, as did his contemporary, William Friend. However, other mathematicians were braver. They took a leap into the unknown and decided that negative numbers could be used during calculations, as long as they had disappeared upon reaching the solution. The history of negative numbers is one of stops and starts. The trailblazers were the Chinese who by 100 BC were able to solve simultaneous equations involving negative numbers. The Ancient Greeks rejected negative numbers as absurd, by 600 AD, the Indians had written the rules for the multiplication of negative numbers and 400 years later, Arabic mathematicians realised the importance of negative debt. But it wasn't until the Renaissance that European mathematicians finally began to accept and use these perplexing numbers. Why were negative numbers considered with such suspicion? Why were they such an abstract concept? And how did they finally get accepted? With Ian Stewart , Professor of Mathematics at the University of Warwick; Colva Roney-Dougal , Lecturer in Pure Mathematics at the University of St Andrews; Raymond Flood , Lecturer in Computing Studies and Mathematics at Kellogg College, Oxford.
Friendship
Melvyn Bragg and guests discuss the concept of friendship. In Greek and Roman times, friendship was thought of as being an essential constituent of both a good society and a good life; a good society because it lay at the heart of participative civic democracy; a good life because it nurtured wisdom and happiness. It is this period which gives us the texts on friendship which, to this day, are arguably the most important of their kind. Amongst their authors is Aristotle, who engaged in one of the great philosophical discussions on the subject. For Aristotle, friendship could fall into three categories: it could be based on utility, pleasure or goodness. In its latter state, Aristotle described it as being 'a single soul dwelling in two bodies'. So how did the Ancients establish the parameters of the true nature of friendship in the literature and philosophy that followed? How have different forms of friendship helped or hindered creativity and intellectual pursuit? What has been the apparent relationship between friendship and power? And what of the darker aspects of friendship - jealousy, envy and exploitation? With Angie Hobbs, Lecturer in Philosophy at the University of Warwick; Mark Vernon, Visiting Lecturer in Philosophy at Syracuse University and London Metropolitan University; John Mullan, Professor of English at University College London.
Catherine the Great
Melvyn Bragg and guests discuss Catherine the Great. In Moscow's Tretyakov Gallery hangs perhaps the most well-known picture of Russia's most well-known ruler. Dimitri Levitsky's 1780 'Portrait of Catherine the Great in the Justice Temple' depicts Catherine in the temple burning poppies at an altar, symbolising her sacrifice of self-interest for Russia. Law books and the scales of justice are at her feet, highlighting her respectful promotion of the rule of law. But menacingly, in the background an eagle crouches, suggesting the means to use brutal power where necessary. For an obscure, small-town German princess Catharine’s ambition was large - the transformation of semi-barbaric Russia into a model of the ideals of the French 18th century Enlightenment. How far was Catherine able to lead her country into full participation in the political and cultural life of Europe? Was she able to liberate the serfs? And should she be remembered as Russia's most civilised ruler or a megalomaniacal despot? With Janet Hartley, Professor of International History at the London School of Economics; Simon Dixon, Professor of Modern History at the University of Leeds; Tony Lentin, Professor of History at the Open University.
Human Evolution
Melvyn Bragg and guests discuss the story of human evolution, which stretches back over six million years. It is not the story of one species but of several diverse species, some of whom walked the Earth at the same time. From the earliest hominids to the early Homo sapiens, there was nothing inevitable about the course of human evolution. But what conditions created the opportunity for diverse human species to thrive? What environmental factors led to the survival of one human species, but contributed to the extinction of so many others? What can the fossil record and the science of genetics tell us about our ancestors? How does the brain make modern man so unique in the natural world? With Steve Jones, Professor of Genetics in the Galton Laboratory at University College London; Fred Spoor, Professor of Evolutionary Anatomy at University College London; Margaret Clegg, Honorary Research Fellow in the Department of Biological Anthropology at University College London.
Chaucer
Melvyn Bragg and guests discuss Geoffrey Chaucer, often called the father of English literature."In Southwark at the Tabard as I lay Redy to wenden on my pilgrymage To Canterbury with ful devout corage, At nyght was come into that hostelrye Wel nyne and twenty in a compaignye Of sundry folk, by aventure yfalle In felaweshipe, and pilgrims were they alle, That toward Canterbury wolden ryde." Geoffrey Chaucer immortalised the medieval pilgrimage and the diversity of 14th century English society in his Canterbury Tales. As each pilgrim takes his, or her, turn to tell their tale on the road to Canterbury, Chaucer brings to life the voices of a knight, a miller, a Wife of Bath and many more besides. Chaucer was born the son of a London vintner, yet rose to high office in the court of Richard II. He travelled throughout France and Italy where he came into contact with the works of Dante, Boccaccio, Machaut and Froissart. He translated Boethius, wrote dream poetry, a defence of women and composed the tragic masterpiece Troilus and Criseyde. As well as the father of English literature, Chaucer was also a philosopher, bureaucrat, courtier and diplomat.So what do we know of Chaucer? How did he introduce the themes of continental writing to an English speaking audience? And why does his poetry still seem to speak so directly to us today? With Carolyne Larrington, Tutor in Medieval English at St John's College, Oxford; Helen Cooper, Professor of Medieval and Renaissance English at the University of Cambridge; Ardis Butterfield, Reader in English at University College London.
The Abbasid Caliphs
Melvyn Bragg and guests discuss the Abbasid Caliphs, dynastic rulers of the Islamic world from the mid eighth to the tenth century. They headed a Muslim empire that extended from Tunisia through Egypt, Syria, Arabia, and Persia to Uzbekistan and the frontiers of India. But unlike previous conquerors, the Abbasid Caliphs presided over a multicultural empire where conversion was a relatively peaceful business. As Vikings raided the shores of Britain, the Abbasids were developing sophisticated systems of government, administration and court etiquette. Their era saw the flowering of Arabic philosophy, mathematics and Persian literature. The Abbasids were responsible for patronising the translation of Classical Greek texts and transmitting them back to a Europe emerging from the Dark Ages. So who were the Abbasid Caliphs and how did they come to power? What was their cultural significance? What factors can account for their decline and fall? And why do they represent a Golden Age of Islamic civilisation? With Hugh Kennedy, Professor of History at the University of St Andrews; Robert Irwin, Senior Research Associate at the School of Oriental and African Studies; University of London; Amira Bennison, Senior Lecturer in Middle Eastern and Islamic Studies at the University of Cambridge.
Seventeenth Century Print Culture
Melvyn Bragg and guests discuss 17th century print culture."Away ungodly Vulgars, far away, Fly ye profane, that dare not view the day, Nor speak to men but shadows, nor would hear Of any news, but what seditious were, Hateful and harmful and ever to the best, Whispering their scandals ... " In 1614 the poet and playwright George Chapman poured scorn on the popular appetite for printed news. However, his initial scorn did not stop him from turning his pen to satisfy the public's new found appetite for scandal. From the advent of the printing press the number of books printed each year steadily increased, and so did literacy rates. With a growing and socially diverse readership appearing over the sixteenth and seventeenth centuries, printed texts reflected controversy in every area of politics, society and religion. In the advent of the Civil War, print was used as the ideological battleground by the competing forces of Crown and Parliament. What sorts of printed texts were being produced? How widespread was literacy and who were the new consumers of print? Did print affect social change? And what role did print play in the momentous English Civil War? With Kevin Sharpe, Professor of Renaissance Studies at Queen Mary, University of London; Ann Hughes, Professor of Early Modern History at the University of Keele; Joad Raymond, Professor of English Literature at the University of East Anglia.
Relativism
Melvyn Bragg and guests discuss relativism, a philosophy of shifting sands. "Today, a particularly insidious obstacle to the task of educating is the massive presence in our society and culture of that relativism which, recognizing nothing as definitive, leaves as the ultimate criterion only the self with its desires. And under the semblance of freedom it becomes a prison for each one, for it separates people from one another, locking each person into his or her own 'ego'." Pope Benedict XVI, in a speech given in June 2005, showed that the issue of relativism is as contentious today as it was in Ancient Greece, when Plato took on the relativist stance of Protagoras and the sophists. Relativism is a school of philosophical thought which holds to the idea that there are no absolute truths. Instead, truth is situated within different frameworks of understanding that are governed by our history, culture and critical perspective. Why has relativism so radically divided scholars and moral custodians over the centuries? How have its supporters answered to criticisms that it is inherently unethical? And if there are universal standards such as human rights, how do relativists defend culturally specific practices such as honour killings or female infanticide? With Barry Smith, Senior Lecturer in Philosophy at Birkbeck College, University of London; Jonathan Rée, freelance philosopher who holds visiting professorships at the Royal College of Art and Roehampton University; Kathleen Lennon, Senior Lecturer in Philosophy at the University of Hull.
Prime Numbers
Melvyn Bragg and guests discuss prime numbers: 2, 3, 5, 7, 11, 13, 17 … This sequence of numbers goes on literally forever. Recently, a team of researchers in Missouri successfully calculated the highest prime number - it has 9.1 million digits. For nearly two and a half thousand years, since Euclid first described the prime numbers in his book Elements, mathematicians have struggled to write a rule to predict what comes next in the sequence. The Swiss mathematician Leonhard Euler feared that it is "a mystery into which the human mind will never penetrate." But others have been more hopeful... In the middle of the nineteenth century, the German mathematician Bernhard Riemann discovered a connection between prime numbers and a complex mathematical function called the 'zeta function'. Ever since, mathematicians have laboured to prove the existence of this connection and reveal the rules behind the elusive sequence. What exactly are prime numbers and what secrets might they unlock about our understanding of atoms? What are the rules that may govern the prime sequence? And is it possible that the person who proves Riemann's Hypothesis may bring about the collapse of the world financial system? With Marcus du Sautoy, Professor of Mathematics and Fellow of Wadham College at the University of Oxford; Robin Wilson, Professor of Pure Mathematics at the Open University and Gresham Professor of Geometry; Jackie Stedall, Junior Research Fellow in the History of Mathematics at Queen's College, Oxford.
The Oath
Melvyn Bragg and guests discuss the importance of the oath in ancient Greece and Rome, The importance of oaths in the Classical world cannot be overstated. Kings, citizens, soldiers, litigants all swore oaths, inviting divine retribution if they proved false to their word. Oaths cemented peace treaties, they obliged the Athenian citizenry to protect their democracy, they guaranteed the loyalty of the Roman army to its Emperor and they underpinned the legal systems of Athens and Rome. And in Homer's epic poem, The Iliad, it is a broken oath to settle the dispute between Menelaus and Paris that leads the Greeks to storm Troy in pursuit of Helen. But how did the Classical world come to understand the oath? Why did oaths come to occupy such a central place in the political, social and legal life of the Athenian State? And what role did oath-making play in the expanding Roman Empire? With Alan Sommerstein , Professor of Greek at the University of Nottingham;Paul Cartledge , Professor of Greek History at the University of Cambridge; Mary Beard , Professor in Classics at the University of Cambridge
The Oresteia
Melvyn Bragg and guests discuss the ‘Oresteia’, the seminal trilogy of tragedies by Aeschylus. The composer Richard Wagner recalled the visceral sensations of reading Aeschylus' great trilogy for the first time. "I could see the Oresteia with my mind's eye ... Nothing could equal the sublime emotion with which the Agamemnon inspired me; and to the last word of the Eumenides, I remained in an atmosphere so far removed from the present day that I have never since been really able to reconcile myself with modern literature." Aeschylus' audience were all familiar with the tale of one man's return home from the Trojan War. Homer's Odyssey recounted Odysseus' perilous journey home, the forceful ejection of the suitors from his household and his reunion with wife Penelope and son Telemachus. Aeschylus had a very different tale of homecoming to tell in his Oresteia. Agamemnon arrives home from Troy to a murderous welcome from a vengeful wife and a cycle of atrocities unfolds in his household. The Oresteia has inspired some of the greatest artists and thinkers of the modern world. From Richard Wagner and Friedrich Nietzsche to T.S. Eliot and Simone de Beauvoir – the ‘Oresteia’ has fired the modern imagination.Why did Aeschylus make the family the subject of his bloody revenge tragedy? How did his trilogy make a contribution to the development of Athenian legal institutions? And why has the Oresteia had such a powerful hold over the modern imagination? With Edith Hall, Professor of Greek Cultural History at Durham University; Simon Goldhill, Professor of Greek at the University of Cambridge; Tom Healy, Professor of Renaissance Studies at Birkbeck College, University of London.
Heaven
Melvyn Bragg and guests discuss ideas of heaven and the afterlife. The great medieval theologian Thomas Aquinas wrote 'that in the end language can only be related to what is experienced here, and given that the hereafter is not here, we can only infer'. Aquinas encapsulated a great human conundrum that has preoccupied writers and thinkers since ancient times: what might heaven be like. And although human language is constrained by experience, this has not stopped an outpouring of artistic, theological and literary representations of heaven. In the early Middle Ages men ascended up a ladder to heaven. In his Divine Comedy, Dante divided heaven into ten layers encompassing the planets and the stars. And the 17th century writer John Bunyan saw the journey of the soul to heaven as a spiritual struggle in his autobiography, The Pilgrim's Progress. But what exactly is heaven and where is it? How does the Protestant conception of the afterlife differ from the Catholic conception? How does one achieve salvation and what do the saved do when they get there? And, if heaven is so interesting, why has western culture been so spellbound by hell? With Valery Rees, Renaissance scholar and senior member of the Language Department at the School of Economic Science; Martin Palmer, Theologian and Director of the International Consultancy on Religion, Education and Culture; John Carey, Emeritus Professor of English Literature at Oxford University.
The Peterloo Massacre
Melvyn Bragg and guests discuss the Peterloo Massacre in 1819, a defining moment of its age. In 1819 Percy Bysshe Shelley wrote: 'I met Murder on the way He had a mask like Castlereagh Very smooth he looked, yet grim; Seven blood-hounds followed him: All were fat; and well they might Be in admirable plight, For one by one, and two by two, He tossed them human hearts to chew Which from his wide cloak he drew.' As Foreign Secretary, Castlereagh had successfully co-ordinated European opposition to Napoleon, but at home he had repressed the Reform movement, and popular opinion held him responsible for the Peterloo Massacre of peaceful demonstrators in 1819. Shelley's epic poem, The Mask of Anarchy, reflected the widespread public outrage and condemnation of the government's role in the massacre. Why did a peaceful and orderly meeting of men, women and children in St Peter's Field, Manchester turn into a blood bath? How were the stirrings of radicalism in the wake of the Napoleonic Wars dealt with by the British establishment? And what role did the Peterloo Massacre play in bringing about the Great Reform Act of 1832? With Jeremy Black, Professor of History at the University of Exeter; Sarah Richardson, Senior Lecturer in History at the University of Warwick; Clive Emsley, Professor of History at the Open University.
Artificial Intelligence
Melvyn Bragg and guests discuss artificial intelligence. Can machines think? It was a question posed by the mathematician and Bletchley Park code breaker Alan Turing and it is a question still being asked today. What is the difference between men and machines and what does it mean to be human? And if we can answer that question, is it possible to build a computer that can imitate the human mind? There are those who have always had robust answers to the questions that those who seek to create artificial intelligence have posed. In 1949 the eminent neurosurgeon, Professor Geoffrey Jefferson argued that the mechanical mind could never rival a human intelligence because it could never be conscious of what it did: "Not until a machine can write a sonnet or compose a concerto because of thoughts and emotions felt", he declared "and not by the chance fall of symbols, could we agree that machine equals brain - that is, not only write it but know that it had written it." Yet the quest rolled on for machines that were bigger and better at processing symbols and calculating infinite permutations. Who were the early pioneers of artificial intelligence and what drove them to imitate the operations of the human mind? Is intelligence the defining characteristic of humanity? And how has the quest for artificial intelligence been driven by warfare and conflict in the twentieth century? With Jon Agar, Lecturer in the History and Philosophy of Science, University of Cambridge; Alison Adam, Professor of Information Systems, Salford University; Igor Aleksander, Professor of Neural Systems Engineering at Imperial College, University of London.
Hobbes
Melvyn Bragg and guests discuss the great 17th century political philosopher Thomas Hobbes who argued: "During the time men live without a common power to keep them all in awe, they are in that condition which is called war; and such a war as is of every man against every man". For Hobbes, the difference between order and disorder was stark. In the state of nature, ungoverned man lived life in "continual fear, and danger of violent death". The only way out of this "solitary, poor, nasty, brutish, and short" existence, he said, was to relinquish all your freedom and submit yourself to one all powerful absolute sovereign. Hobbes' proposal, contained in his controversial and now classic text, Leviathan, was written just as England was readjusting to life after the Civil War and the rule of Oliver Cromwell. In fact, in his long life Hobbes’ allegiance switched from Charles I to Cromwell and back to Charles II. But how did the son of a poor clergyman end up as the most radical thinker of his day? Why did so many of Hobbes' ideas run counter to the prevailing fondness for constitutionalism with a limited monarchy? And why is he regarded by so many political philosophers as an important theorist when so few find his ideas convincing? With Quentin Skinner, Regius Professor of History at the University of Cambridge; David Wootton, Professor of History at the University of York; Annabel Brett, Senior Lecturer in Political Thought and Intellectual History at Cambridge University.