Virgil
Posts:
4,482
Registered:
1/6/11
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Re: Matheology � 222 Back to the roots
Posted:
Feb 20, 2013 3:13 PM
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In article
<374eee06-b5b5-4399-b1ab-472a93953fec@f6g2000yqm.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 19 Feb., 23:28, fom <fomJ...@nyms.net> wrote:
> > On 2/19/2013 9:16 AM, WM wrote:
> >
> >
> >
> >
> >
> > > On 19 Feb., 15:09, Alan Smaill <sma...@SPAMinf.ed.ac.uk> wrote:
> > >> WM <mueck...@rz.fh-augsburg.de> writes:
> > >>> On 19 Feb., 11:03, Alan Smaill <sma...@SPAMinf.ed.ac.uk> wrote:
> >
> > >>>> Do you think that the square root of 2 is rational?
> >
> > >>> No, but I know that it has no decimal or binary representation.
> >
> > >> So, how do you know it's not rational, then?
> >
> > > Because every rational number has a representation in a finite base.
> >
> > >> Is there "no doubt", as you describe the conclusion of an argument
> > >> using induction over the natural numbers?
> >
> > > No there is no induction required but the simple proof by
> > > contradiction.
> > > Assume sqrt2 = m/n with m,n coprime. You can find it in many places of
> > > the internet, for instance in chapter 3 of my Geschichte des
> > > Unendlichen.
> >
> > Humor us.
> >
> > Show us for surd(5).
> >
> > The proof for surd(2) is special because it uses odds and evens.-
>
> And you think that the fundamental theorem of number theory makes a
> difference between prime factor 2 and others, say 3 or 5 or 7?
Does WM claim that anything proof valid for 2 must also be valid for 3
or 5 or other primes? How about the proof that 2 is even, does that
proof make all primes even?
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