Re: Relation between sets and their elements


"Paul Holbach" <paulholbachSPAMBAN@xxxxxxxxxx> wrote in message
news:1114379967.686846.280650@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> > Paul Holbach wrote:
>
> > Can sets lose their elements and keep their identity as distinct
> > entities, i.e. as entities distinct from the empty set?
> > (I don't think so.)

But it also seems that mathematics is time invariant and therefore sets
can _not_ loose their elements.

>
> What happened to the set of dinosaurs when the dinosaurs had become
> extinct?

Accordingly, either we have a set of dinosaurs that once lived or an empty
to begin with; but not a set of dinosaurs that would one day walk out of
the set into oblivion, I'd think.

---Nam Nguyen

>
> It became identical with the empty set, which cannot be identical with
> its elements, since it has none.
>
> #PH
>


.

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