On Wednesday, February 26, 2014 7:11:29 PM UTC-5, Martin Shobe wrote: > On 2/26/2014 4:27 PM, Dan Christensen wrote: > > > On Wednesday, February 26, 2014 4:31:24 PM UTC-5, Virgil wrote: > > >> In article <firstname.lastname@example.org>, > > >> Dan Christensen <Dan_Christensen@sympatico.ca> wrote: > > >>> If you want to claim that there are no infinite sets, you might have a point. > > >>> For every Dedekind-infinite set S, however, there exists a subset of S which > > >>> satisfy Peano's axioms -- a "copy" of the natural numbers, if you will. And > > >>> that's no "juvenile rot". > > > > >> What about sets being infinite but not Dedekind-infinite? > > > > > Can you give an example? > > > > You were told on math.stackexchange that you can't be given an explicit > > example. You were even told why. Why are you asking for an example here? >
I wasn't entirely satisfied with the answer at MSE and wondered what folks would say here.