Defining Infinity Infinite Series

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=VCksQ6g2yh0

Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi • Set theory is supposed to be a foundation of all of mathematics. How does it handle infinity? Learn through active problem-solving at Brilliant: https://brilliant.org/InfiniteSeries • Tweet at us! @pbsinfinite • Facebook: facebook.com/pbsinfinite series • Email us! pbsinfiniteseries [at] gmail [dot] com • 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/basic-n... • • 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 Early “naive” versions were beset by apparent paradoxes and were superseded by axiomatic versions that used formal rules to demarcate legal mathematical statements from gibberish.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 Perez-Giz (@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!

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