Zeno's Paradoxes

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

Om Podcasten

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. History fans can learn about pivotal wars and societal upheavals, such as the rise and fall of Napoleon, the Sack of Rome in 1527, and the political intrigue of the Russian Revolution. Those fascinated by the lives of kings and queens can journey to Versailles to meet Marie Antoinette and Louis XIV the Sun King, or to Ancient Egypt to meet Cleopatra and Nerfertiti. Or perhaps you’re looking to explore the history of religion, from Buddhism’s early teachings to the Protestant Reformation. If you’re interested in the stories behind iconic works of art, music and literature, dive in to discussions on the artistic genius of Michelangelo's Sistine Chapel and Van Gogh’s famous Sunflowers. From Gothic architecture to the works of Shakespeare, each episode of In Our Time offers new insight into humanity’s cultural achievements. Those looking to enrich their scientific knowledge can hear episodes on black holes, the Periodic Table, and classical theories of gravity, motion, evolution and relativity. Learn how the discovery of penicillin revolutionised medicine, and how the death of stars can lead to the formation of new planets. Lovers of philosophy will find episodes on the big issues that define existence, from free will and ethics, to liberty and justice. In what ways did celebrated philosophers such as Mary Wollstonecraft and Karl Marx push forward radical new ideas? How has the concept of karma evolved from the ancient Sanskrit texts of Hinduism to today? What was Plato’s concept of an ideal republic, and how did he explore this through the legend of the lost city of Atlantis? In Our Time celebrates the pursuit of knowledge and the enduring power of ideas.