Negative Numbers
In Our Time9 Mars 2006

Negative Numbers

Melvyn Bragg and guests discuss negative numbers, a history of mystery and suspicion. In 1759 the British mathematician Francis Maseres wrote that negative numbers "darken the very whole doctrines of the equations and make dark of the things which are in their nature excessively obvious and simple". Because of their dark and mysterious nature, Maseres concluded that negative numbers did not exist, as did his contemporary, William Friend. However, other mathematicians were braver. They took a leap into the unknown and decided that negative numbers could be used during calculations, as long as they had disappeared upon reaching the solution. The history of negative numbers is one of stops and starts. The trailblazers were the Chinese who by 100 BC were able to solve simultaneous equations involving negative numbers. The Ancient Greeks rejected negative numbers as absurd, by 600 AD, the Indians had written the rules for the multiplication of negative numbers and 400 years later, Arabic mathematicians realised the importance of negative debt. But it wasn't until the Renaissance that European mathematicians finally began to accept and use these perplexing numbers. Why were negative numbers considered with such suspicion? Why were they such an abstract concept? And how did they finally get accepted? With Ian Stewart , Professor of Mathematics at the University of Warwick; Colva Roney-Dougal , Lecturer in Pure Mathematics at the University of St Andrews; Raymond Flood , Lecturer in Computing Studies and Mathematics at Kellogg College, Oxford.

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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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