In Our Time

Zeno's Paradoxes (Archive Episode)

81 snips
Nov 20, 2025
Join Marcus du Sautoy, a mathematics professor at Oxford, Barbara Sattler, a philosophy lecturer at St Andrews, and James Warren, an ancient philosophy reader at Cambridge, as they delve into the mind-bending world of Zeno's paradoxes. They explore his challenges to the notion of motion, including Achilles never catching the tortoise. Du Sautoy traces the implications for mathematics, while Sattler and Warren discuss the philosophical significance of these puzzles. Their conversation links ancient thinking to modern issues like infinity and discrete reality.
Ask episode
AI Snips
Chapters
Books
Transcript
Episode notes
INSIGHT

Paradoxes As Philosophical Tools

  • Zeno used paradoxes to expose unexpected consequences of common-sense assumptions about motion and plurality.
  • His puzzles force rethinking of time, space and the foundations of mathematics rather than denying everyday experience.
ANECDOTE

Zeno Defends Parmenides

  • Zeno studied with Parmenides and defended his tutor's radical claim that reality is one, changeless, and motionless.
  • Zeno crafted paradoxes to embarrass opponents who accepted plural things and motion without philosophical proof.
INSIGHT

Dichotomy And Infinite Regress

  • The dichotomy paradox shows crossing any distance entails an infinite regress of prior steps, suggesting motion requires completing an infinite sequence.
  • That conclusion challenges the idea you can complete infinite tasks, forcing a rethink of time and divisibility.
Get the Snipd Podcast app to discover more snips from this episode
Get the app