Cantor's Theorem (Proof) | Cantor's Power Set Theorem (Proof) | Set Theory | Elementary Set Theory
Cantor's theorem is a very important and interesting theorem of Set Theory. It helps us to understand the cardinal numbers and relations between them quite easily and effectively. Besides this, we have proved another very important result as. This result states that the cardinality of the power set of a denumerable (i.e. Countably Infinite) set is the same as the cardinality of [0,1] or R (Both of these have the power of the continuum and their cardinality is 'c'). The proof of this theorem includes the use of the famous DENSITY THEOREM which has already been discussed on my channel. Here is link to that video:
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