In Our Time Folgen

Melvyn Bragg and guests discuss the mathematical structures that lie within the heart of music. The seventeenth century philosopher Gottfried Leibniz wrote: 'Music is the pleasure the human mind experiences from counting without being aware that it is counting'. Mathematical structures have always provided the bare bones around which musicians compose music and have been vital to the very practical considerations of performance such as fingering and tempo. But there is a more complex area in the relationship between maths and music which is to do with the physics of sound: how pitch is determined by force or weight; how the complex arrangement of notes in relation to each other produces a scale; and how frequency determines the harmonics of sound. How were mathematical formulations used to create early music? Why do we in the West hear twelve notes in the octave when the Chinese hear fifty-three? What is the mathematical sequence that produces the so-called 'golden section'? And why was there a resurgence of the use of mathematics in composition in the twentieth century? With Marcus du Sautoy, Professor of Mathematics at the University of Oxford; Robin Wilson, Professor of Pure Mathematics at the Open University; Ruth Tatlow, Lecturer in Music Theory at the University of Stockholm.

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 of thought. He battled throughout his life for social reform and individual freedom and was hugely influential in the extension of the vote. Few modern discussions on race, birth control, the state and human rights have not been influenced by Mill's theories. How did Mill's utilitarian background shape his political ideas? Why did he think Romantic literature was significant to the rational structure of society? On what grounds did he argue for women's equality? And how did his notions of the individual become central to modern social theory? With A C Grayling, Professor of Philosophy at Birkbeck, University of London; Janet Radcliffe Richards, Reader in Bioethics at University College London; Alan Ryan, Professor of Politics at Oxford University.

Melvyn Bragg and guests discuss the literary and visual depiction of fairies, supernatural creatures that inhabit a half-way world between this one and the next.'They stole little Bridget for seven years long; When she came down again her friends were all gone. They took her lightly back, between the night and morrow; They thought that she was fast asleep, but she was dead with sorrow. They have kept her ever since deep within the lake, On a bed of flag-leaves, watching till she wake.' When the 19th century Anglo-Irish poet Richard Allingham wrote his poem The Fairies, he was replicating a belief about supernatural figures who steal children that stretched back to ancient Persian myths that date from 3000 BC. So universal is the terror of losing a child that the images of a lonely lost child and a mother who loses her child to fairies exist in civilisations everywhere. Demon Figures and Fairies have undergone a series of transformations according to their historical context, but what remains constant is their supernatural power and their association with the very human concerns of marriage, death and loss. In what way have fairies changed in guise and purpose throughout history? How did ancient fairy lore sit with the Christianity of the Middle Ages? How were fairies appropriated for the purpose of the 16th century witchcraft trials and why did fairies obsess so many Victorian artists and writers? And why is it that stories about fairies exist all over the world and what is our fascination with them?With Juliette Wood, Associate Lecturer in the Department of Welsh at Cardiff University and Secretary of the Folklore Society; Diane Purkiss, Fellow and Tutor of English at Keble College, Oxford; Nicola Bown, Lecturer in Victorian Studies at Birkbeck, University of London.