Dividing by Zero: Exploring Infinity and Mathematics

14min Snip

00:00

Play full episode

Summary

Transcript

Episode notes

This chapter discusses the concept of dividing by zero and the potential result of infinity. It explains that infinity is not actually a number but a direction in mathematics, and allowing for infinity would lead to strange and contradictory results. The chapter emphasizes the importance of numbers being individual and discrete in various areas of math and science.

Karim Ani dedicated his life to math. He studied it in school, got a degree in math education, even founded Citizen Math to teach it to kids in a whole new way. But, this whole time, his whole life, almost, he had this question nagging at him.

The question came in the form of a rule in math, NEVER divide by zero. But, why not?

Cornell mathematician, and friend of the show, Steve Strogatz, chimes in with the historical context, citing examples of previous provocateurs looking to break the rules of math. And he offers Karim a warning,

“In math we have creative freedom, we can do anything we want, as long as it’s logical.”Listen along as Karim’s thought exercise becomes an existential quest, taking us with him, as he delves deeper, and deeper, into Zeroworld.

EPISODE CREDITS: Reported by - Lulu MillerProduced by - Matthew Kieltywith help from - Ekedi Fausther-Keeys, Alyssa Jeong PerryOriginal music and sound design contributed by - Matthew Kieltywith mixing help from - Arianne WackFact-checking by - Diane Kellyand Edited by - Pat Walters

Our newsletter comes out every Wednesday. It includes short essays, recommendations, and details about other ways to interact with the show. Sign up!

Radiolab is supported by listeners like you. Support Radiolab by becoming a member of The Lab today.

Follow our show on Instagram, Twitter and Facebook @radiolab, and share your thoughts with us by emailing radiolab@wnyc.org.

Leadership support for Radiolab’s science programming is provided by the Gordon and Betty Moore Foundation, Science Sandbox, a Simons Foundation Initiative, and the John Templeton Foundation. Foundational support for Radiolab was provided by the Alfred P. Sloan Foundation.