Re: Questioning the defintions of set and element.


"Virgil" <Virgil@xxxxxxxxx> wrote in message
news:Virgil-DD2602.14422401052008@xxxxxxxxxxxxxxxxxxxx
.com...
In article <wKpSj.1014$NZ7.376@xxxxxxxxxxxxx>,
"Mark" <user@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?



Okay, let A be the set containing: {The Ford Falcon I owned 30 years ago, that oddly shaped cloud just south of me right now, the number 46, and all prime roots of the equation 14x^6- 7x^5+ 32x^4- 14x^3+ 7x- 288= 0}

What do those have in common other than they are in that set?
.