The KT Boundary

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 encompassing and without any hint of a paradox. Hilbert was one of the greatest mathematicians that ever lived, but his plan failed spectacularly because of Kurt Gödel. Gödel proved that there were some problems in maths that were impossible to solve, that the bright clear plain of mathematics was in fact a labyrinth filled with potential paradox. In doing so Gödel changed the way we understand what mathematics is and the implications of his work in physics and philosophy take us to the very edge of what we can know.With Marcus du Sautoy, Professor of Mathematics at Wadham College, University of Oxford; John Barrow, Professor of Mathematical Sciences at the University of Cambridge and Gresham Professor of Geometry and Philip Welch, Professor of Mathematical Logic at the University of Bristol.

9 Okt 200842min

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. Over the next 200 years Greek philosophy, medicine, engineering and maths were all poured and sometimes squeezed into Arabic. Centred on Baghdad, this translation movement introduced the Islamic world to the philosophy of Aristotle, the geometry of Euclid and the Medicine of Galen. It caused an intellectual ferment that demanded the creation of new words to explain new concepts and house new arguments. Over 600 years before the European renaissance the intellectual legacy of Greece was woven into the tapestry of Arabic thought and it was only through the Arabic versions that Europe go its hands on many Greek ideas. With Peter Adamson, Reader in Philosophy at King’s College London; Amira Bennison, Senior Lecturer in Middle Eastern and Islamic Studies at the University of Cambridge; and Peter Pormann, Wellcome Trust Assistant Professor in Classics and Ancient History at the University of Warwick

2 Okt 200842min

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 and religion. They have also been used by the corrupt and the powerful to gain their perverse ends. Miracles have been derided and proved to be fraudulent and yet, for many, the miraculous maintain a grip on our imagination, our language and our belief to this day. With Martin Palmer, Director of the International Consultancy on Religion, Education and Culture;Janet Soskice, Reader in Philosophical Theology at Cambridge University; Justin Champion, Professor of the History of Early Modern Ideas at Royal Holloway, University of London.

25 Sep 200842min

Melvyn Bragg and guests discuss the Roman historian Tacitus who chronicled some of Rome’s most notorious emperors, including Nero and Caligula, and whose portrayal of Roman decadence influences the way we see Rome today. “The story I now commence is rich in vicissitudes, grim with warfare, torn by civil strife, a tale of horror even during times of peace”. So reads page one of The Histories by the Roman historian Tacitus and it doesn’t disappoint. Convinced that Rome was going to the dogs, Tacitus depicts a Rome which is a hotbed of sex and violence, of excessive wealth and senatorial corruption. His work is a pungent study in tyranny and decline that has influenced depictions of Rome, from Gibbon’s Decline and Fall to Robert Graves’ I, Claudius. But is it a true picture of the age or does Tacitus’ work present the tyranny and decadence of Rome at the expense of its virtues? And to what extent, when we look at the Roman Empire today, do we still see it through Tacitus' eyes?With Catharine Edwards, Professor of Classics and Ancient History at Birkbeck, University of London; Ellen O’Gorman, Senior Lecturer in Classics at the University of Bristol and Maria Wyke, Professor of Latin at University College London

10 Juli 200841min

Melvyn Bragg and guests discuss Dante’s ‘Inferno’ - a medieval journey through the nine circles of Hell. “Abandon hope, all ye who enter here”. This famous phrase is written above the gate of Hell in a 14th century poem by the Italian poet Dante Alighieri. The poem is called the ‘Divine Comedy’ and Hell is known as ‘Dante’s Inferno’. It is a lurid vision of the afterlife complete with severed heads, cruel and unusual punishments and devils in frozen lakes. But the inferno is much more than a trip into the macabre - it is a map of medieval spirituality, a treasure house of early renaissance learning, a portrait of 14th century Florence, and an acute study of human psychology. It is also one of the greatest poems ever written. With, Margaret Kean, University Lecturer in English and College Fellow at St Hilda’s College, University of Oxford; John Took, Professor of Dante Studies at University College London and Claire Honess, Senior Lecturer in Italian at the University of Leeds and Co-Director of the Leeds Centre for Dante Studies.

3 Juli 200842min

Melvyn Bragg and guests discuss the Arab conquests - an extraordinary period in the 7th and 8th centuries when the tribes of the Arabian Peninsula conquered the Middle East, Persia, North Africa and Southern Europe and spread the ideas of the Islamic religion. In 632 the prophet Muhammad died and left behind the nascent religion of Islam among a few tribes in the Arabian Desert. They were relatively small in number, they were divided among themselves and they were surrounded by vast and powerful empires. Yet within 100 years Arab armies controlled territory from Northern Spain to Southern Iran and Islamic ideas had begun to profoundly refashion the societies they touched. It is one of the most extraordinary and significant events in world history that began the slow and profound transformation of Greek and Persian societies into Islamic ones. But how did the Arab armies achieve such extensive victories, how did they govern the people they conquered and what was the relationship between the achievements of the Arabs and the religious beliefs they carried with them?With Hugh Kennedy, Professor of Arabic 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 and Robert Hoyland, Professor in Arabic and Middle East Studies at the University of St Andrews

26 Juni 200841min

Melvyn Bragg and guests discuss the music of the spheres, the elegant and poetic idea that the revolution of the planets generates a celestial harmony of profound and transcendent beauty. In Shakespeare’s The Merchant of Venice the young Lorenzo woos his sweetheart with talk of the stars: “There’s not the smallest orb which thou behold’stBut in his motion like an angel sings,Still quiring to the young-eyed cherubins;Such harmony is in immortal souls;But whilst this muddy vesture of decayDoth grossly close it in, we cannot hear it.”The idea of music of the spheres ran through late antiquity and the medieval period into the Renaissance and its echoes could be heard in astrology and astronomy, in theology, and, of course, in music itself. Influenced by Pythagoras and Plato, it was discussed by Cicero, Boethius, Marcello Ficino and Johannes Kepler It affords us a glimpse into minds for which the universe was full of meaning, of strange correspondences and grand harmonies.With Peter Forshaw, Postdoctoral Fellow at Birkbeck, University of London; Jim Bennett, Director of the Museum of the History of Science at the University of Oxford and Angela Voss, Director of the Cultural Study of Cosmology and Divination at the University of Kent, Canterbury.

19 Juni 200842min

Melvyn Bragg and guests discuss the Metaphysical poets, a diffuse group of 17th century writers including John Donne, Andrew Marvell and George Herbert. Mourning the death of a good friend in 1631, the poet Thomas Carew declared: “The Muses' garden, with pedantic weeds O'erspread, was purg'd by thee; the lazy seeds Of servile imitation thrown away, And fresh invention planted.”The gardener in question was a poet, John Donne, and from his fresh invention blossomed a group of 17th century writers called the metaphysical poets. Concerned with sex and death, with science and empire, the metaphysical poets challenged the conventions of Elizabethan poetry with drama and with wit. And they showed that English, like Italian and French, was capable of true poetry.Unashamedly modern, they were saluted by another great modernist, T.S. Eliot, who admired their genius for imagery, the freshness of their language and the drama of their poetic character. But what do we mean by metaphysical poetry, how did it reflect an age of drama and discovery and do poets as different as John Donne, Andrew Marvell and George Herbert really belong together in the canon of English literature? With Tom Healy, Professor of Renaissance Studies at Birkbeck College, University of London; Julie Sanders, Professor of English Literature and Drama at the University of Nottingham; and Tom Cain, Professor of Early Modern Literature at the University of Newcastle upon Tyne

19 Juni 200842min