Re: abundance of irrationals!) - rectangles of area 1.bmp [0/1]
- From: Virgil <ITSnetNOTcom#virgil@xxxxxxxxxxx>
- Date: Tue, 10 May 2005 12:59:16 -0600
In article <MPG.1cea7e1a9c12de61989bf2@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
> >
> > > I have provided two proofs. Counting WILL NOT get you to infinity. It's
> > > a weak tool for trying to study infinty. It's fine for finite things.
But the axiom of infinity and the principle of induction do get you to
infinity in finitely many steps. That is what they are for.
> >
> > Indeed. Except that your proofs have been refuted thoroughly.
> Not in any way that doesn't refute the proofs you hold so dear, and
> not in any substantive way. Only by retreating to your local set of
> confusions in the form of unquestionable contradictory axioms and
> assumptions do you parry your away out of truth's way.
Without some set of axioms as a foundation, there is no truth, only
chaos. The axioms WE use have been tested and not found wanting. The
informal unaxiomatized logic you are trying to use has been also tested
and has been found wanting. So any contradictions are in your arena, not
ours.
.
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