logo
episode-header-image
Sep 2010
14m 18s

Georg Cantor

BBC Radio 4 Extra
About this episode

This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Today, Georg Cantor, the mathematician who showed us how to carry on counting when the numbers run out. An insight into the nature of infinity that Roger Penrose believes helps to explain why the human brain will always be cleverer than artificial intelligence.

Producer: Anna Buckley

From 2010.

Up next
Oct 2010
Nicolas Bourbaki
This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role ... Show More
14m 36s
Oct 2010
Hardy and Ramanujan
This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role ... Show More
14m 18s
Sep 2010
Henri Poincaré
This ten part history of mathematics from Newton to the present day, reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role ... Show More
14m 8s
Recommended Episodes
Mar 2025
Mathematics
Mathematics—the language of the universe, woven into the fabric of history and discovery. From ancient civilizations counting on clay tablets to the groundbreaking theories that shaped our modern world, the story of math is one of curiosity, logic, and human ingenuity. Who were t ... Show More
55m 32s
Feb 2024
Ep 202: David Deutsch’s ”The Fabric of Reality” Chapter 10 ”The Nature of Mathematics” Part 3
The nature of proof and mathematics as a creative enterprise. Not all that is true can be proved as such, the high hopes of David Hilbert for placing the entirety of mathematics on a "firm foundation", the mathematical world-shattering results of Kurt Gödel which frustrated that ... Show More
45m 26s
Sep 2009
Calculus
Melvyn Bragg discusses the epic feud between Sir Isaac Newton and Gottfried Leibniz over who invented an astonishingly powerful new mathematical tool - calculus. Both claimed to have conceived it independently, but the argument soon descended into a bitter battle over priority, p ... Show More
42m 7s
Sep 2024
The Hidden Secrets of Math: Beauty and Power (Part 1)
Mathematics communicator and drag queen Kyne Santos will help you discover the beauty and power of math in this three-part Friday miniseries. Kyne takes us back to ancient Greece to illustrate the elegance of mathematics. We meet mathematician Tom Crawford, who combines fieldwork ... Show More
14m 26s
Nov 2023
"Is Math Real?: How Simple Questions Lead Us to Mathematics’ Deepest Truths" by Eugenia Cheng
Today, one of the world’s most creative mathematicians offers a new way to look at math. 
11m 29s
Apr 2024
Daron Acemoglu on Marxism and AI
Are we, in fact, living in a time of revolution? What it means and what you can do about it, according to one of MIT’s greatest thinkers. Power and Progress: Our 1,000-Year Struggle Over Technology & Prosperity Hosted by Simplecast, an AdsWizz company. See pcm.adswizz.com for inf ... Show More
28m 1s
May 2011
Is math a human invention or a human discovery?
<p>In this episode, Robert and Julie take a sweeping look at math, addressing several important questions. For example: What is math? Where does math come from? What mathematical skills are we born with and how much can we understand?</p><p> </p> Learn more about your ad-choices ... Show More
37m 58s
Sep 2022
Can we use maths to beat the robots?
Daily advances in the technology of artificial intelligence may leave humans playing catch-up – but in at least one area we can still retain an edge, mathematics. However it’ll require changes in how we think about and teach maths and we may still have to leave the simple adding ... Show More
8m 58s
Mar 2022
Is maths real?
<p>Faced with one cake and eight hungry people, it’s pretty obvious how maths underpins reality. But as mathematics gets further from common sense and into seemingly abstract territory, nature still seems to obey its rules - whether in the orbit of a planet, the number of petals ... Show More
32m 15s
Dec 2022
Confessions Of A Math Convert
Math is a complex, beautiful language that can help people understand the world. And sometimes math is hard! Science communicator Sadie Witkowski says the key to making math your friend is to foster your own curiosity and shed the fear of sounding dumb. That's the guiding princip ... Show More
12m 55s