How to Divide by "Zero" | Infinite Series

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What happens when you divide things that aren’t numbers?

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RESOURCES
Visual Group Theory by Nathan Carter https://www.amazon.com/Visual-Group-Theory-Problem-Book/dp/088385757X

Geek37 - The silver ratio and the octagon
https://www.youtube.com/watch?v=o-6kWnYfdVk

Polygons, Diagonals, and the Bronze Mean by Antonia Redondo
Buitrago
https://link.springer.com/content/pdf/10.1007/s00004-007-0046-x.pdfl

Previous Episodes:
Beyond the Golden Ratio
https://www.youtube.com/watch?v=MIxvZ6jwTuA&t=600s

The Multiplication Multiverse
https://www.youtube.com/watch?v=H4I2C3Ts7_w

The Mathematics of Diffie Hillman Key Exchange
https://www.youtube.com/watch?v=ESPT_36pUFc

How to Break Cryptography
https://www.youtube.com/watch?v=12Q3Mrh03Gk&t=130s&list=PLa6IE8XPP_glwNKmFfl2tEL0b7E9D0WRr&index=42

We all know you can’t divide by the number zero. But in some sense the notion of “dividing by zero” appears every time you use modular arithmetic! The structures that underlie this “modding business” are called equivalence relations and quotient sets. And that’s what I’d like to dive into today.

Written and Hosted by Tai-Danae Bradley
Produced by Rusty Ward
Graphics by Ray Lux
Assistant Editing and Sound Design by Mike Petrow and Meah Denee Barrington
Made by Kornhaber Brown (www.kornhaberbrown.com)

Special thanks to Roman Pinchuk for supporting us on our Converse level on Patreon.

Along with thanks to Matthew O'Connor, Yana Chernobilsky, and John Hoffman who are supporting us on Patreon at the Identity level!

And thanks to Nicholas Rose and Mauricio Pacheco for supporting us at the Lemma level!

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