In article <firstname.lastname@example.org>, Lester Zick <DontBother@nowhere.net> wrote:
> On Tue, 18 Jul 2006 15:23:10 -0600, Virgil <email@example.com> wrote: > > >In article <firstname.lastname@example.org>, > > Lester Zick <DontBother@nowhere.net> wrote: > > > >> Beliefs, axioms, and assumptions constitute the infinte set of all > >> things people are too lazy or stupid to break down. > > > >And who is able to produce anything simultaneously more primitive and > >more "true" than deductions from assumed "axioms"? > > Presumably those who are not too lazy or stupid to do so. > > >As far as I can tell, one cannot get something from nothing, unless one > >is a republican. > > Or a modern mathematiker.
Modern mathematicians are at, least subliminally, aware that their conclusions all rest on assumptions/axioms which ultimately cannot be demonstrated in any absolute sense, though they seldom bother to be explicit about what assumptions their axiom system actually makes.