Cardinality #1
Algebra
Level
pending
In theory of sets with the choice axiom included and assuming that all the other usual statments holds, can there be a set A such that its cardinal (Cardinal(A) = |A|= number of elements of A) is greater or equal to the cardinal of any other set?
No, it can't
why do you ask this?
I don't know.
Yes, it can
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1 solution
Cantor's Theorem.- If A is a set and P(A) its power set, then |A| < |P(A)|( strictly less than...)