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Zeno's Paradoxes

Melvyn Bragg and guests discuss the paradoxes attributed to Zeno of Elea (c490-430BC) which have stimulated mathematicians and philosophers for millennia.

After 27 years, Melvyn Bragg has decided to step down from the In Our Time presenter’s chair. With over a thousand episodes to choose from, he has selected just six that capture the huge range and depth of the subjects he and his experts have tackled. In this third of his choices, we hear Melvyn Bragg and his guests discuss Greek philosophy.

Their topic is Zeno of Elea, a pre-Socratic philosopher from c490-430 BC whose paradoxes were described by Bertrand Russell as "immeasurably subtle and profound." The best known argue against motion, such as that of an arrow in flight which is at a series of different points but moving at none of them, or that of Achilles who, despite being the faster runner, will never catch up with a tortoise with a head start. Aristotle and Aquinas engaged with these, as did Russell, yet it is still debatable whether Zeno's Paradoxes have been resolved.

With

Marcus du Sautoy
Professor of Mathematics and Simonyi Professor for the Public Understanding of Science at the University of Oxford

Barbara Sattler
Lecturer in Philosophy at the University of St Andrews

and

James Warren
Reader in Ancient Philosophy at the University of Cambridge

Producer: Simon Tillotson
In Our Time is a ÃÛÑ¿´«Ã½ Studios Production

Spanning history, religion, culture, science and philosophy, In Our Time from ÃÛÑ¿´«Ã½ Radio 4 is essential listening for the intellectually curious. In each episode, host Melvyn Bragg and expert guests explore the characters, events and discoveries that have shaped our world

Available now

47 minutes

Last on

Sunday 23:00

LINKS AND FURTHER READING

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READING LIST:

Aristotle (trans. Robin Waterfield), Physics (Oxford University Press, 2008), especially Book 6, chapter 9

J. A. Faris, The Paradoxes of Zeno (Avebury, 1996)

Adolf Grunbaum, Modern Science and Zeno’s Paradoxes (Allen & Unwin, 1968)

R. M. Sainsbury, Paradoxes, Cambridge University Press, 2009)

Wesley C. Salmon (ed.), The Paradoxes of Zeno (first published 1970; Hackett Publishing Co, 2001)

Wesley C. Salmon, Space, Time and Motion: A Philosophical Introduction (University of Minnesota Press, 1980)

Marcus du Sautoy, What We Cannot Know: Explorations at the Edge of Knowledge (Fourth Estate, 2016)

James Warren, Presocratics, (Routledge, 2007)

Credits

Role Contributor
Presenter Melvyn Bragg
Interviewed Guest Marcus du Sautoy
Interviewed Guest Barbara Sattler
Interviewed Guest James Warren
Producer Simon Tillotson

Broadcasts

  • Thu 22 Sep 2016 09:00
  • Thu 22 Sep 2016 21:30
  • Thu 28 May 2020 09:00
  • Thu 28 May 2020 21:30
  • Last Thursday 09:00
  • Sunday 23:00

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