Hello, I was wondering this, what is the cardinality of the set of all(adsbygoogle = window.adsbygoogle || []).push({}); finitesubsets of the real interval [0,1]

It somehow confuses me because the interval is nonnumerable (cardinality of the continuos [itex] \mathfrak{c}[/itex]), while the subsets are less than numerable (finite). It is clear that it has to be equal or greater than [itex] \mathfrak{c}[/itex] because one can consider subsets of only one element and there you got one set for each real number in the interval. It is equal to it, isn't?

Thanks.

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# Cardinality of the set of all finite subsets of [0,1]

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