The Real Numbers are not listable/countable (Cantor's Diagonalisation Argument)
A proof of the amazing result that the real numbers cannot be listed, and so there are 'uncountably infinite' real numbers.
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Countable & Uncountable Infinities
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The diagonalisation argument, Part 1
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What A General Diagonal Argument Looks Like (Category Theory)
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Transcendental numbers powered by Cantor's infinities
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Cantor's Diagonal Argument: The rationals and reals have different sizes?!?!?
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Lecture 1: Sets, Set Operations and Mathematical Induction
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What is the opposite of a set?
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The Most Controversial Idea In Math
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Integers & Rationals are both infinite but is it the SAME infinity?
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The Obviously True Theorem No One Can Prove
![I Want to Play a Game: Proving [0,1] is Uncountable](https://i.ytimg.com/vi/Mcfnnp8rxkI/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLAZOg5mdGOJscD-3-YGl2i_W5zmNw)
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I Want to Play a Game: Proving [0,1] is Uncountable
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When Math Isn’t Based in Reality
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How Big are All Infinities Combined? (Cantor's Paradox) | Infinite Series
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S01.8 Countable and Uncountable Sets
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Real Analysis | The countability of the rational numbers.
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(Co)Products: motivating category theory
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The Simplest Math Problem No One Can Solve - Collatz Conjecture
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The Opposite of Infinity - Numberphile
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Infinity is bigger than you think - Numberphile
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