I am not a mathematician and I am asking this question out of my curiosity.
Lebesgue measure of a set $S$ such that $Cardinality(S)=ℵ_0$ is $0$.
And lebesgue measure of a set $P$ such that $Cardinality(P)=ℵ_1$ is a positive number including infinity (sometimes it can be $0$ too but mostly it is a positive number or infinity.)..
My question is:
What is the Lebesgue measure of a set with cardinality $ℵ_n$ where $n>1$?