On 2/26/2014 11:29 PM, Dan Christensen wrote: > 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.