Melvyn Bragg and guests discuss the contribution Indian mathematicians have made to our understanding of the subject. Mathematics from the Indian subcontinent has provided foundations for much of our modern thinking on the subject. They were thought to be the first to use zero as a number. Our modern numerals have their roots there too. And mathematicians in the area that is now India, Pakistan and Bangladesh were grappling with concepts such as infinity centuries before Europe got to grips with it. There’s even a suggestion that Indian mathematicians discovered Pythagoras’ theorem before Pythagoras. Some of these advances have their basis in early religious texts which describe the geometry necessary for building falcon-shaped altars of precise dimensions. Astronomical calculations used to decide the dates of religious festivals also encouraged these mathematical developments. So how were these advances passed on to the rest of the world? And why was the contribution of mathematicians from this area ignored by Europe for centuries?With George Gheverghese Joseph, Honorary Reader in Mathematics Education at Manchester University; Colva Roney-Dougal, Lecturer in Pure Mathematics at the University of St Andrews; Dennis Almeida, Lecturer in Mathematics Education at Exeter University and the Open University.
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In Our Time With Melvyn Bragg Folgen
Melvyn Bragg and his guests discuss the history of ideas - including topics drawn from philosophy, science, history, religion and culture.
Folgen von In Our Time With Melvyn Bragg
1098 Folgen
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Folge vom 14.12.2006Indian Mathematics
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Folge vom 07.12.2006AnarchismMelvyn 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 other religions. In Christianity, for example, St Paul said there is no authority except God. The anarchist rejection of a ruling class inspired communist thinkers too. Peter Kropotkin, a Russian prince and leading anarcho-communist, led this rousing cry in 1897: “Either the State for ever, crushing individual and local life... Or the destruction of States and new life starting again.. on the principles of the lively initiative of the individual and groups and that of free agreement. The choice lies with you!” In the Spanish Civil War, anarchists embarked on the largest experiment to date in organising society along anarchist principles. Although it ultimately failed, it was not without successes along the way.So why has anarchism become synonymous with chaos and disorder? What factors came together to make the 19th century and early 20th century the high point for its ideas? How has its philosophy influenced other movements from The Diggers and Ranters to communism, feminism and eco-warriors?With John Keane, Professor of Politics at Westminster University; Ruth Kinna, Senior Lecturer in Politics at Loughborough University; Peter Marshall, philosopher and historian.
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Folge vom 30.11.2006The Speed of LightMelvyn Bragg and guests discuss the speed of light. Scientists and thinkers have been fascinated with the speed of light for millennia. Aristotle wrongly contended that the speed of light was infinite, but it was the 17th Century before serious attempts were made to measure its actual velocity – we now know that it’s 186,000 miles per second. Then in 1905 Einstein’s Special Theory of Relativity predicted that nothing can travel faster than the speed of light. This then has dramatic effects on the nature of space and time. It’s been thought the speed of light is a constant in Nature, a kind of cosmic speed limit, now the scientists aren’t so sure. With John Barrow, Professor of Mathematical Sciences and Gresham Professor of Astronomy at Cambridge University; Iwan Morus, Senior Lecturer in the History of Science at The University of Wales, Aberystwyth; Jocelyn Bell Burnell, Visiting Professor of Astrophysics at Oxford University.
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Folge vom 23.11.2006AltruismMelvyn 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 his brother what he wishes for himself”. Buddhism too advocates “seeking for others the happiness one desires for oneself.”Philosophers throughout time have debated whether such benevolence towards others is rooted in our natural inclinations or is a virtue we must impose on our nature through duty, religious or otherwise. Then in 1859 Darwin’s ideas about competition and natural selection exploded onto the scene. His theories outlined in the Origin of Species painted a world “red in tooth and claw” as every organism struggles for ascendancy.So how does this square with altruism? If both mankind and the natural world are selfishly seeking to promote their own survival and advancement, how can we explain being kind to others, sometimes at our own expense? How have philosophical ideas about altruism responded to evolutionary theory? And paradoxically, is it possible that altruism can, in fact, be selfish?With Miranda Fricker, Senior Lecturer in the School of Philosophy at Birkbeck, University of London; Richard Dawkins, evolutionary biologist and the Charles Simonyi Professor of the Public Understanding of Science at Oxford University; John Dupré, Professor of Philosophy of Science at Exeter University and director of Egenis, the ESRC Centre for Genomics in Society.