Banach-Tarski Paradox and A Great Discussion About Infinity

This video is a rich discussion about about infinity. It starts from the famous infinite chocolate problem, countable infinity, uncountable infinity, Cantor’s diagonalization system, Hilbert’s hotel, and the Banach-Tarski Paradox. Although the last part is a bit too much for the level of this blog, the explanations before it of the concepts before it are extremely clear and helpful.

I had several discussions about infinity in this blog particularly the content of Counting the Real Numbers, The Grand Hotel Paradox, and One to One Correspondence. You might want to check them out.

How Big is Infinity?

If you have read my article on Counting the Real Numbers, and enjoyed it, you should watch the incredible 7-minute TED video below, a more comprehensive explanation about that topic. It explains the cardinality of rational and irrational numbers and the continuum hypothesis.  A must view for mathematics students and enthusiasts.

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