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Set theory is supposed to be a foundation of all of mathematics. How does it handle infinity? Learn through active problemsolving at Brilliant: https://brilliant.org/InfiniteSeries

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Previous Episode:
Unraveling DNA with Rational Tangles
   • Unraveling DNA with Rational Tangles ...  


Earlier videos referenced around 1:00 are:
Cantor's paradox:    • How Big are All Infinities Combined? ...  

What are Numbers Made of?    • What are Numbers Made of? | Infinite ...  

Peano axioms:    • What Does It Mean to Be a Number? (Th...  

Hiearchy of Infinities:    • A Hierarchy of Infinities | Infinite ...  

Vsauce How to Count Past Infinity
   • How To Count Past Infinity  



Brilliant infinity wiki:
https://brilliant.org/wiki/infinity/

Brilliant Number Theory course (with Exploring Infinity chapter):
https://brilliant.org/courses/basicn...



Set theory arose in part to get a grip on infinity. Early “naive” versions were beset by apparent paradoxes and were superseded by axiomatic versions that used formal rules to demarcate "legal" mathematical statements from gibberish.


Written and Hosted by Gabe PerezGiz (@fizziksgabe)
Produced by Rusty Ward
Graphics by Ray Lux
Assistant Editing and Sound Design by Mike Petrow and Linda Huang
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 Mauricio Pacheco and Andrew Poelstra who is supporting us at the Lemma level!