The Continuum, Zeno's Paradox, and the Price We Pay for Coordinates - Math Foundations 117

Explore the intricate connections between the continuum, Zeno's paradoxes, and the consequences of the Cartesian revolution in mathematics in this thought-provoking 35-minute video lecture. Delve into the challenges of reconciling our physical intuition with the arithmetical view of geometry, and examine how biological constraints influence mathematical thinking. Investigate the limitations of adhering strictly to physical intuitions in mathematics and consider the implications for modern pure mathematics, particularly regarding the theory of real numbers. Gain valuable insights into the foundations of mathematics and the philosophical questions that arise when examining the nature of continuity and infinity.