Set Size Comparison, Countability, 2 Essence of Set Theory
Watch my videos Ad-free & free: Odysee: https://odysee.com/@MiroslavOlsak:9?v... Vimeo: https://vimeo.com/user129589056 Download: http://olsak.net/mirek/manim/my_video... Definition of cardinality comparison, aleph_0 as the least infinite cardinality. Proof that there are aleph_0 many rational numbers but there are uncountable number of infinite binary sequences. Video download: http://www.olsak.net/mirek/manim/eost...
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Set Size Comparison, Continuum, 3 Essence of Set Theory
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(Co)Products: motivating category theory
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Cardinality of the Continuum
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We think this pattern continues forever, but can't prove it
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How the Axiom of Choice Gives Sizeless Sets | Infinite Series
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What happens at infinity? - The Cantor set
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When Math Isn’t Based in Reality
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The Axiom of Choice
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Ordinals vs Cardinals (and how many algebraic numbers are there?)
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Why Ancient Humans Went From Black to White?
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Russell's Paradox - a simple explanation of a profound problem
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Infinity is bigger than you think - Numberphile
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Rethinking the real line #SoME3
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Introduction to Infinity, 1 Essence of Set Theory
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Train Your Brain to Never Forget (5 Feynman Habits)
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What is the opposite of a set?
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Integers & Rationals are both infinite but is it the SAME infinity?
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Every Famous Number, Explained: From Pi to the Unknowable
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