"fom" <fomJUNK@nyms.net> wrote in message news:maKdnVlG5s1MCcPPnZ2dnUVZ_qGdnZ2d@giganews.com... > On 10/16/2013 1:03 AM, Albrecht wrote: <snipped> > That is a humorous statement.
> So, are you defending constructivism?
Is he? Which constructions has he ever provided?
> The arguments generally appear that way.
Ah, then I get it, just not an acquaintance of mine, one more.
> You are correct concerning the necessity of infinity.
But, is he? "Actual infinity" is logically necessary, Zeno docet. And quite reasonable too, just levels of abstraction.
> But, so long as there is no contradiction, why would you > restrict mathematicians from exploring the possible?
There is not a line between the possible and the conceived, hence no restriction really: the domain of mathematics is defined by what mathematicians do, and the range of mathematics spans all levels of abstraction.
> And, let me note that "minimal" is not a synonym for "necessary".