One way is obvious. Since every point set of R is a Borel set, so the Collection of Borel sets have at least the cardinality of R. I struggled to find an injection from The class of Borel subset to R? Can anyone give me some ideas? (I did see some post mentioning concepts like cardinal, transfinite induction, but I have never learned those stuff. So if it is possible to proof without using those concepts it would be great. If it is necessary, please point me to a right direction of what to look at. Thanks!)
2026-03-28 17:04:50.1774717490
How to prove that the cardinality of Collection of Borel subsets is equal to cardinality of real number?
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