if u divide by zero everything is one…

2min Snip

00:00

Play full episode

Summary

Transcript

Episode notes

If zero were equal to one, two, three, or any other number, it would disrupt the fundamental principles of math. All aspects of math, like fluid dynamics, calculus, geometry, and physics, rely on numbers being distinct entities. Allowing division by zero would result in bizarre implications such as one being equal to zero, two, infinity, or any other number. Mathematicians define division by zero as undefined to protect the integrity of math and its applications in technology. Contemplating the concept of everything being one thing challenges conventional thinking and leads to a sense of incompleteness, hinting at a deeper reality beyond everyday experiences.

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.