Lebesgue measure of sets with cardinality greater than $ℵ_1$

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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 $n>1$?