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On Point with Meghna Chakrabarti

Can math equations solve inequality?

On Point with Meghna Chakrabarti

WBUR

Talk Show, Daily News, News, Npr, On Point, Daily

4.23.5K Ratings

🗓️ 20 November 2025

⏱️ 35 minutes

🧾️ Download transcript

Summary

Mathematician Eugenia Cheng wants us to rethink our relationship to math -- and equality. We hear how different paths lead to identical outcomes in math, and how that can help us all in real life.

Transcript

Click on a timestamp to play from that location

0:00.0

WBUR Podcasts, Boston.

0:08.1

This is on point. I'm Megna Chakrabardi.

0:12.0

Eugenia Chang already loved math by the time she was in kindergarten.

0:16.9

She went on to specialize in math, in category theory specifically, and she earned a tenured position teaching math in England.

0:24.4

But then she had a change of heart. She now teaches math to budding artists at the School of the Art Institute of Chicago and writes books to help non-mathematically inclined people understand how math fits into their everyday lives.

0:37.6

She's out now with a new book.

0:38.9

It's called Unequal, the mathematics of when things do and don't add up.

0:43.9

Eugenia Chang, welcome back to One Point.

0:46.4

Hi, thank you so much for having me.

0:48.5

Let me first ask you, let's go straight into some of the math, and then we'll talk more

0:53.1

about your own mathematical history. Okay. So things being unequal. One equals one, fairly straightforward? Yes or no?

1:00.8

Pretty straightforward, yes. Okay. So we'll increase the complexity a little bit.

1:05.6

Okay. And then so is like two plus three equal to three plus two two? Two plus three says I'm going to

1:14.8

take two things and then I'm going to take three things and three plus two says I'm going to

1:18.7

take three things and then I'm going to take two things and you may be so used to the fact that

1:23.7

that just equals five that you haven't noticed anymore that those were two different

1:28.8

processes. And if you've ever helped small children learn how to add things up, and I love

1:34.7

helping small children with things, then it takes them a while to understand that that is

1:39.9

definitely going to produce the same total number of things because there really is something

1:45.5

different going on. It's a different journey, a different process that happens to lead to the same

1:50.8

outcome. Okay, this is fascinating. So let's increase the complexity ever so slightly.

1:58.0

Because actually I think in terms of teaching my own kiddos basic mathematics, it really came home to me when learning multiplication, right?

...

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