Cardinality and Cantor-Schroeder-Bernstein | Nathan Dalaklis

Описание: The Cantor-Schroeder-Bernstein Theorem (or CSB), is a tool used to determine if two sets have the same cardinality. It is particularly useful when equating the cardinality of sets of infinitely many elements. Here, we go over a proof of the theorem and try to illustrate the construction at the heart of the proof as well. This video will probably be easier to parse if you've seen at least the first half of the previous video listed here:    • Cardinality and Constructing Larger Infini...  

Also, I wanted to thank STUDY TIME for the topic suggestion that resulted in this video and the one from last time. If you have any particular areas or topics of math you'd like me to cover, you can leave them in the comments below. Maybe they'll turn into a video too!!!

A statement of the theorem (not in pictures :D ):
CSB: Given two sets, A and B and subsets A' and B' of A and B respectively, if |A|=|B'| and |B|=|A'| then |A|=|B|.

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