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Real Analysis Course #12 - (0,1) is Uncountable Using Diagonalization (Cantor Diagonalization)

BriTheMathGuy

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Real Analysis Course #12 - (0,1) is Uncountable Using Diagonalization (Cantor Diagonalization)

10 655 просмотров · 6 лет назад
BriTheMathGuy
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10 655 просмотров · 6 лет назад
After taking Real Analysis you should know that the real numbers are an uncountable set. A small step down is realization the interval (0,1) is also an uncountable set. We can do a contradiction proof, assuming (0,1) is countable, and use diagonalization (cantor diagonalization) to show the set is uncountable. #realanaysis #brithemathguy #math ►BECOME A CHANNEL MEMBER    / @brithemathguy   Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.