Infinity
In Our Time23 Okt 2003

Infinity

Melvyn Bragg and guests discuss the nature and existence of mathematical infinity. Jonathan Swift encapsulated the counter-intuitive character of infinity with insouciant style:“So, naturalists observe, a fleaHath smaller fleas on him that preyAnd these hath smaller fleas to bite ‘emAnd so proceed ad infinitum.”Alas, the developing utility mathematicians put to the idea of infinity did not find the English philosopher Thomas Hobbes quite so relaxed. When confronted with a diagram depicting an infinite solid whose volume was finite, he wrote, “To understand this for sense, it is not required that a man should be a geometrician or logician, but that he should be mad”. Yet philosophers and mathematicians have continued to grapple with the unending, and it is a core concept in modern maths.So, what is mathematical infinity? Are some infinities bigger than others? And does infinity exist in nature?With Ian Stewart, Professor of Mathematics at the University of Warwick; Robert Kaplan, co-founder of The Math Circle at Harvard University and author of The Art of the Infinite: Our Lost Language of Numbers; Sarah Rees, Reader in Pure Mathematics at the University of Newcastle.

Episoder(1083)

Science's Revelations

Science's Revelations

Melvyn Bragg and guests discuss whether the mass of scientific understanding and knowledge we have accumulated has destroyed our sense of poetic wonder at the world. Has our sense of awe at how the world works obscured our desire to know why it works the way it does? With Richard Dawkins evolutionary biologist, reader in Zoology and Fellow of New College, Oxford, Charles Simonyi Chair of Public Understanding of Science, Oxford University and author of Unweaving The Rainbow: Science, Delusion and The Appetite For Wonder; Ian McEwan, novelist, and author of the Booker prize winning novel Amsterdam.

29 Okt 199828min

Politics in the 20th Century

Politics in the 20th Century

Melvyn Bragg talks to Gore Vidal and Alan Clarke about the future of the nation-state; is the concept dead and buried? And what is the relationship between politics and morality - have salaciousness and self-righteousness taken over where seriousness of intent and a strong nerve left off, or was it ever thus? With Gore Vidal, American writer, commentator and author of The Smithsonian Institution; Alan Clarke, historian, politician and author of The Tories: Conservatives and the Nation State, 1922-97.

22 Okt 199828min

War in the 20th Century

War in the 20th Century

In the first programme of a new series examining ideas and events which have shaped thinking in philosophy, religion, science and the arts, Melvyn Bragg and guests discuss warfare and human rights in the 20th century. He talks to Michael Ignatieff about the life of one of the 20th century’s leading philosophers, Isaiah Berlin, and to Sir Michael Howard about the 20th century will be remembered; as a century of progress or as one of the most murderous in history. When we see pictures on television of starving people in war torn areas most of us feel we must ‘do’ something. Where does the feeling that we are in some way responsible for our fellow human beings originate historically? How has technology affected the concept of the Just War? And what are the prospects for world peace as we enter the next century? With Michael Ignatieff, writer, broadcaster and biographer of Isaiah Berlin; Sir Michael Howard, formerly Regius Professor of History, Oxford University and joint editor of the new Oxford History of the Twentieth Century.

15 Okt 199827min

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