On Apr 10, 6:02 pm, "Jesse F. Hughes" <je...@phiwumbda.org> wrote: > Jonathan Schattke <wiz...@gmail.com> writes:
> > It actually points to the failure of "constructivist" mathematicians > > over "platonic" ones - the refusal to accept the trichotomy theorem and > > infinity leads to strange results. Such as saying there is a concrete > > minimum real. > > How's that? Do constructivists really believe there is a concrete > minimum real?
Considering that all the rationals can be constructed, and there is no smallest rational number greater than zero, I would have thought that even if constructivism does lead to absurdities, this wouldn't be one of them.