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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 Theorem on the Cardinality of Power Sets

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

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

Real Analysis | The countability of the rational numbers.
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Real Analysis | The countability of the rational numbers.

When Math Isn’t Based in Reality
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When Math Isn’t Based in Reality

The set of real numbers is uncountable (Proof) [ILIEKMATHPHYSICS]
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The set of real numbers is uncountable (Proof) [ILIEKMATHPHYSICS]

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

Rational Numbers are Countable
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Rational Numbers are Countable

Infinity is bigger than you think - Numberphile
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Infinity is bigger than you think - Numberphile

Why AI Can Never Escape Turing's 1936 Proof
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Why AI Can Never Escape Turing's 1936 Proof

The Most Controversial Idea In Math
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The Most Controversial Idea In Math

S01.8 Countable and Uncountable Sets
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S01.8 Countable and Uncountable Sets

The Real (Weird) Way We See Numbers
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The Real (Weird) Way We See Numbers

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

The Countable Union of Countable Sets
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The Countable Union of Countable Sets

A Proof That The Square Root of Two Is Irrational
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A Proof That The Square Root of Two Is Irrational

Reinventing Entropy | Compression is Intelligence Part 1
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Reinventing Entropy | Compression is Intelligence Part 1

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

Real Analysis | The uncountability of ℝ
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Real Analysis | The uncountability of ℝ

The Cantor Set Is Uncountable
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The Cantor Set Is Uncountable

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