Melvyn Bragg and guests discuss an iconic piece of 20th century maths - Gödel’s Incompleteness Theorems. In 1900, in Paris, the International Congress of Mathematicians gathered in a mood of hope and fear. The edifice of maths was grand and ornate but its foundations, called axioms, had been shaken. They were deemed to be inconsistent and possibly paradoxical. At the conference, a young man called David Hilbert set out a plan to rebuild the foundations of maths – to make them consistent, all enc...
Oct 09, 2008•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss one of the greatest intellectual projects in history - the mass translation of Greek ideas into Arabic from the 9th century onwards.One night in Baghdad, the 9th century Caliph Al-Mamun was visited by a dream. The philosopher Aristotle appeared to him, saying that the reason of the Greeks and the revelation of Islam were not opposed. On waking, the Caliph demanded that all of Aristotle’s works be translated into Arabic. And they were. And it wasn’t just Aristotle....
Oct 02, 2008•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the parting of the Red Sea, the feeding of the five thousand and the general subject of miracles. Miracles have been part of human culture for thousands of years. From St Augustine in the 4th century through the medieval cult of saints to David Hume in the 18th, miracles have captured the imaginations of believers and sceptics alike. The way they have been celebrated, interpreted, dissected and refuted is a whole history of arguments between philosophy, science an...
Sep 25, 2008•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss Materialism in Philosophy – the idea that matter and the interactions between matter account for all that exists and all that happens. We trace the descent of materialism from the ancient Greek philosophers Democritus and Epicurus, to its powerful and controversial flowering in the 17th, 18th and 19th centuries as an attack on religion. It’s provocative stuff even today and certainly was in 1770 when Baron D’Holbach published his book The System of Nature. He wrot...
Apr 24, 2008•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the rich and radical ideas of Soren Kierkegaard, often called the father of Existentialism.In 1840 a young Danish girl called Regine Olsen got engaged to her sweetheart – a modish and clever young man called Søren Kierkegaard. The two were deeply in love but soon the husband to be began to have doubts. He worried that he couldn’t make Regine happy and stay true to himself and his dreams of philosophy. It was a terrible dilemma, but Kierkegaard broke off the engage...
Mar 20, 2008•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the Social Contract and ask a foundational question of political philosophy – by what authority does a government govern? “Man was born free and he is everywhere in chains”. So begins Jean Jacques Rousseau’s great work on the Social Contract. Rousseau was trying to understand why a man would give up his natural freedoms and bind himself to the rule of a prince or a government. But the idea of the social contract - that political authority is held through a contrac...
Feb 07, 2008•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the Algerian-French writer and Existentialist philosopher Albert Camus. Shortly after the new year of 1960, a powerful sports car crashed in the French town of Villeblevin in Burgundy, killing two of its occupants. One was the publisher Michel Gallimard; the other was the writer Albert Camus. In Camus’ pocket was an unused train ticket and in the boot of the car his unfinished autobiography The First Man. Camus was 46. Born in Algeria in 1913, Camus became a worki...
Jan 03, 2008•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the Persian Islamic philosopher, Avicenna. In the city of Hamadan in Iran, right in the centre, there is a vast mausoleum dedicated to an Iranian national hero. Built in 1952, exactly 915 years after his death, it’s a great conical tower with twelve supporting columns. It’s dedicated not to a warrior or a king but to a philosopher and physician. His name is Ali Al Husayn Ibn-Sina, but he is also known as Avicenna and he is arguably the most important philosopher i...
Nov 08, 2007•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss morality by taking a long hard look at the idea of guilt. The 18th century politician and philosopher Edmund Burke was once moved to comment: “Guilt was never a rational thing; it distorts all the faculties of the human mind, it perverts them, it leaves a man no longer in the free use of his reason, it puts him into confusion.”Guilt is a legal category but also a psychological state and a moral idea. Over the centuries theologians, philosophers and psychologists h...
Nov 01, 2007•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the Greek philosopher Socrates, acknowledged as one of the founders of Western philosophy. Born in 469 BC into the golden age of the city of Athens, he has profoundly influenced philosophy ever since. In fact, his impact is so profound that all the thinkers who went before are simply known as pre-Socratic.In person Socrates was deliberately irritating, he was funny and he was rude; he didn’t like democracy very much and spent quite a lot of time in shoe shops. He ...
Sep 27, 2007•42 min•Transcript available on Metacast Melvyn Bragg looks at an unexpected philosophical subject - the philosophy of common sense. In the first century BC the Roman statesman Marcus Tullius Cicero claimed “There is no statement so absurd that no philosopher will make it”. Indeed, in the history of Western thought, philosophers have rarely been credited with having much common sense. In the 17th century Francis Bacon made a similar point when he wrote “Philosophers make imaginary laws for imaginary commonwealths, and their discourses ...
Jun 21, 2007•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the philosophical ideas of William Ockham including Ockham's Razor. In the small village of Ockham, near Woking in Surrey, stands a church. Made of grey stone, it has a pitched roof and an unassuming church tower but parts of it date back to the 13th century. This means they would have been standing when the village witnessed the birth of one of the greatest philosophers in Medieval Europe. His name was William and he became known as William of Ockham.William of O...
May 31, 2007•42 min•Transcript available on Metacast Melvyn Bragg discusses the Dutch Jewish Philosopher Spinoza. For the radical thinkers of the Enlightenment, he was the first man to have lived and died as a true atheist. For others, including Samuel Taylor Coleridge, he provides perhaps the most profound conception of God to be found in Western philosophy. He was bold enough to defy the thinking of his time, yet too modest to accept the fame of public office and he died, along with Socrates and Seneca, one of the three great deaths in philosoph...
May 03, 2007•28 min•Transcript available on Metacast Melvyn Bragg and guests discuss one of the most important philosophers of the 20th century, Karl Popper whose ideas about science and politics robustly challenged the accepted ideas of the day. He strongly resisted the prevailing empiricist consensus that scientists' theories could be proved true.Popper wrote: “The more we learn about the world and the deeper our learning, the more conscious, specific and articulate will be our knowledge of what we do not know, our knowledge of our ignorance”. H...
Feb 08, 2007•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss Anarchism and why its political ideas became synonymous with chaos and disorder. Pierre Joseph Proudhon famously declared “property is theft”. And perhaps more surprisingly that “Anarchy is order”. Speaking in 1840, he was the first self-proclaimed anarchist. Anarchy comes from the Greek word “anarchos”, meaning “without rulers”, and the movement draws on the ideas of philosophers like William Godwin and John Locke. It is also prominent in Taoism, Buddhism and oth...
Dec 07, 2006•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss altruism. The term altruism was coined by the 19th century sociologist Auguste Comte and is derived from the Latin “alteri” or "the others”. It describes an unselfish attention to the needs of others. Comte declared that man had a moral duty to “serve humanity, whose we are entirely.” The idea of altruism is central to the main religions: Jesus declared “you shall love your neighbour as yourself” and Mohammed said “none of you truly believes until he wishes for hi...
Nov 23, 2006•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the philosopher Averroes who worked to reconcile the theology of Islam with the rationality of Aristotle achieving fame and infamy in equal measure In The Divine Comedy Dante subjected all the sinners in Christendom to a series of grisly punishments, from being buried alive to being frozen in ice. The deeper you go the more brutal and bizarre the punishments get, but the uppermost level of Hell is populated not with the mildest of Christian sinners, but with non-C...
Oct 05, 2006•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the great nineteenth century political philosopher John Stuart Mill. He believed that, 'The true philosophy is the marriage of poetry and logic'. He was one of the first thinkers to argue that a social theory must engage with ideas of culture and the internal life. He used Wordsworth to inform his social theory, he was a proto feminist and his treatise On Liberty is one of the sacred texts of liberalism. J S Mill believed that action was the natural articulation o...
May 18, 2006•42 min•Transcript available on Metacast 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 th...
Mar 02, 2006•42 min•Transcript available on Metacast 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...
Jan 19, 2006•28 min•Transcript available on Metacast 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 Home...
Jan 05, 2006•42 min•Transcript available on Metacast 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...
Dec 01, 2005•28 min•Transcript available on Metacast Melvyn Bragg and guests discuss the American philosophy of pragmatism. A pragmatist "turns away from abstraction and insufficiency, from verbal solutions, from bad apriori reasons, from fixed principles, closed systems, and pretended absolutes and origins. He turns towards concreteness and adequacy, towards facts, towards action and towards power". A quote from William James' 1907 treatise Pragmatism: A New Name for Some Old Ways of Thinking. William James, along with John Dewey and Charles Sand...
Nov 17, 2005•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the Cynics, the performance artists of philosophy. Eating live octopus with fresh lupins, performing intimate acts in public places and shouting at passers by from inside a barrel is behaviour not normally associated with philosophy. But the Cynics were different. They were determined to expose the meaninglessness of civilised life by action as well as by word. They slept rough, ate simply and gave their lectures in the market place. Perhaps surprisingly, their id...
Oct 20, 2005•28 min•Transcript available on Metacast Melvyn Bragg and guests discuss Karl Marx. "Workers of the World Unite! You have nothing to lose but your chains", "Religion is the opium of the people", and "From each according to his abilities, to each according to his needs". That should be enough for most of you to work out whom Radio 4 listeners have voted as their favourite philosopher: the winner of the In Our Time Greatest Philosopher Vote, chosen from 20 philosophers nominated by listeners and carried through on an electoral tidal wave...
Jul 14, 2005•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss beauty and its qualities."Beauty is truth, truth beauty, - that is all Ye know on earth, and all ye need to know."That was John Keats' emphatic finale to his Ode on a Grecian Urn. It seems to express Plato's theory of aesthetics, his idea that an apprehension of beauty is an apprehension of perfection and that all things in our shadowy realm are botched representations of perfect 'forms' that exist elsewhere. Beauty is goodness and, for Plato, the ultimate of all ...
May 19, 2005•28 min•Transcript available on Metacast Melvyn Bragg and guests discuss the story of Abelard and Heloise, a tale of literature and philosophy, theology and scandal, and above all love in the high Middle Ages. They were two of the greatest minds of their time and Abelard, a famous priest and teacher, wrote of how their affair began in his biography, Historia Calamitatum, “Her studies allowed us to withdraw in private, as love desired, and then with our books open before us, more words of love than of reading passed between us, and more...
May 05, 2005•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss Stoicism, the third great philosophy of the Ancient World. It was founded by Zeno in the fourth century BC and flourished in Greece and then in Rome. Its ideals of inner solitude, forbearance in adversity and the acceptance of fate won many brilliant adherents and made it the dominant philosophy across the whole of the Ancient World. The ex-slave Epictetus said "Man is troubled not by events, but by the meaning he gives them". Seneca, the politician, declared that...
Mar 04, 2005•28 min•Transcript available on Metacast Melvyn Bragg and guests discuss the mind/body problem in philosophy. At the start of René Descartes' Sixth Meditation he writes: "there is a great difference between mind and body, inasmuch as body is by nature always divisible, and mind is entirely indivisible. For when I consider the mind, or myself in so far as I am merely a thinking thing, I am unable to distinguish many parts within myself; I understand myself to be something quite single and complete. Although the whole mind seems to be un...
Jan 13, 2005•42 min•Transcript available on Metacast Melvyn Bragg and guests discuss the political philosopher Niccolo Machiavelli. In The Prince, Machiavelli's great manual of power, he wrote, "since men love as they themselves determine but fear as their ruler determines, a wise prince must rely upon what he and not others can control". He also advised, "One must be a fox in order to recognise traps, and a lion to frighten off wolves. Those who simply act like lions are stupid. So it follows that a prudent ruler cannot, and must not, honour his ...
Dec 09, 2004•42 min•Transcript available on Metacast 
