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 BBC Studios Production
Spanning history, religion, culture, science and philosophy, In Our Time from BBC 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
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LINKS AND FURTHER READING
Marcus du Sautoy at the University of Oxford
Barbara Sattler at the University of St Andrews
James Warren at the University of Cambridge
‘Time is Double the Trouble: Zeno’s Moving Rows’ by Barbara Sattler in Ancient Philosophy 35, 2015
Zeno’s Paradoxes - Stanford Encyclopedia of Philosophy
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 201609:00BBC Radio 4
- Thu 22 Sep 201621:30BBC Radio 4
- Thu 28 May 202009:00BBC Radio 4
- Thu 28 May 202021:30BBC Radio 4
- Thu 23 Oct 202509:00BBC Radio 4 FM
- Sun 26 Oct 202523:00BBC Radio 4 FM
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