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In Our Time: Science

Zeno's Paradoxes

In Our Time: Science

BBC

History

4.51.4K Ratings

🗓️ 22 September 2016

⏱️ 47 minutes

🧾️ Download transcript

Summary

In a programme first broadcast in 2016, Melvyn Bragg and guests discuss 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

Transcript

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0:00.0

Thank you for downloading this episode of In Our Time, for news about in our time and for

0:05.0

recommendations about our archive, please follow us on Twitter at BBC in Our Time.

0:10.0

I hope you enjoy the program.

0:12.0

Hello, the ancient Greek thinkers Zeno Obilir flourished in the 5th century BC.

0:17.2

His great innovation in philosophy was the paradox, a tool to highlight the unexpected consequences

0:22.4

of common sense ideas to question assumptions

0:25.4

and provoke new theories. For example, according to Zeno's paradoxes, motion is not possible.

0:31.5

An arrow in flight does not move. The fastest runner in

0:35.0

Homer, Achilles, could never catch up with the tortoosh in a race if he gave it a

0:38.6

head start. Philosophers from Aristotle to Bertrand Russell have tried to refute his ideas or explain them with varying success.

0:47.0

Innovations in mathematics, when Newton and Leibniz went some way to demonstrate flaws in

0:51.1

Juno's arguments, but the questions he raised

0:53.6

two and a half thousand years ago by time and space are as relevant as ever and have

0:58.0

re-emerged in quantum physics. With me to discuss the paradoxes of Zenu are Marcus Usotoi, professor of mathematics and

1:05.6

Simmonia professor for the public understanding of science at the University of Oxford, Barbara

1:10.6

Sattler lecture in philosophy at the University of St Andrews

1:13.5

and James Warren, reader in ancient philosophy at the University of Cambridge.

1:17.6

James Warren, what do we know about Zino?

1:19.6

Not a huge amount is unfortunately the arts and we know roughly when he was living and working he's

1:25.2

living as you said in the middle of the fifth century b c he came from earlier a town uh... on the west coast of southern

1:32.0

Italy and we know that he traveled a lot in Greece as people of that sort of class did and he wrote a work maybe just one work which included these paradoxes, of which we know about, it depends how you count

1:48.6

them, perhaps seven, eight, some to do with motion, some to do with motion some to do with plurality.

...

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