Re:Dedekind's Subtle Knife
by creata on Tuesday February 18, 2025 @12:10AM
(#43086265)
> I don't know of a way to prove equipotence except by creating a 1-1 relationship between the sets in question.
The usual definition of two sets having the same size (cardinality) is that they are in bijection. So ultimately, any proof that |A| = |B| will reduce to a "creating a 1-1 relationship between the sets in question", or at least showing that one exists.
The usual definition of two sets having the same size (cardinality) is that they are in bijection. So ultimately, any proof that |A| = |B| will reduce to a "creating a 1-1 relationship between the sets in question", or at least showing that one exists.