Godel's Incompleteness Theorems
In Our Time9 Loka 2008

Godel's Incompleteness Theorems

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.

Jaksot(1082)

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 Loka 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 Loka 199827min

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