The Real Numbers are Uncountable
We give Cantor's diagonalization proof that reals are uncountable. We show that (0,1) is uncountable which proves that the set of reals is uncountable by a standard bijection. #mikedabkowski, #mikethemathematician, #profdabkowski, #realanalysis

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Cantor's Theorem on the Cardinality of Power Sets

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Cantor's Diagonal Argument: The rationals and reals have different sizes?!?!?

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Integers & Rationals are both infinite but is it the SAME infinity?

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Real Analysis | The countability of the rational numbers.

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When Math Isn’t Based in Reality
![The set of real numbers is uncountable (Proof) [ILIEKMATHPHYSICS]](https://i.ytimg.com/vi/ufRbbI_oq54/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLDbay_XsYpMV0V27L61m0aAEuuXDw)
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The set of real numbers is uncountable (Proof) [ILIEKMATHPHYSICS]

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Why you can't solve quintic equations (Galois theory approach) #SoME2

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Rational Numbers are Countable

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Infinity is bigger than you think - Numberphile

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Why AI Can Never Escape Turing's 1936 Proof

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The Most Controversial Idea In Math

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S01.8 Countable and Uncountable Sets

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The Real (Weird) Way We See Numbers

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New Jellyfish Aquarium • Healing of Stress, Anxiety and Depressive States • Goodbye Insomnia #30

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The Countable Union of Countable Sets

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A Proof That The Square Root of Two Is Irrational

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Reinventing Entropy | Compression is Intelligence Part 1

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S01.9 Proof That a Set of Real Numbers is Uncountable

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Real Analysis | The uncountability of ℝ

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