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Almost everyone has heard about the concept of infinity, but far fewer have heard about the idea that there are different orders of infinities, or why that’s the case. This short instructional video aims to explain why this is so, by first motivating the method of determining the relative cardinalities of two sets by finding a bijection and then jumping into a slightly simplified phrasing of Cantor’s clever proof for the uncountability of the reals.
Special thanks to:
Zach G. for the beach recommendation and ride there
Jason H. for the original use of the beach metaphor in Number Systems class
Thinking Music by Kevin MacLeod
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