Re: Questioning the defintions of set and element.

On May 1, 6:26 pm, "Mark" <u...@xxxxxxxx> wrote:
"Virgil" <Vir...@xxxxxxxxx> wrote in message

news:Virgil-DD2602.14422401052008@xxxxxxxxxxxxxxxxxxxxxxxxxxx

In article <wKpSj.1014$NZ7....@xxxxxxxxxxxxx>, "Mark" <u...@xxxxxxxx>
wrote:

I was basically asking whether elements in a set need to share something
in
common.

Other than membership in that set, no!

Then why would they be in a set in the first place?
Can you provide me with an example of a set whose elements have nothing in
common with each other, other than the fact that they belong to the set?

That is impossible: if theo things x and y have in common
the property of both belonging to a set A, then they also
have the property of belonging to the set {A, x, y}.

-- m
.