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Re: Godel Goofed? Nope.
Neither is infinity a number, for EXACTLY the same reason...
Numbers have specifically values, Infinity is ALWAYS more...
It is the process of more... It is analogous to my infinite loop...
The termination value of this loop (that does not terminate)
is infinity...
Simon Biber wrote:
> This is too easy. That loop does not have a termination value.
>
> Simon.
>
> "olcott" <olcott@qwest.net> wrote in message
> 3A8EC51B.1875398C@qwest.net">news:3A8EC51B.1875398C@qwest.net...
> > Okay, then give me the termination value of this loop...
> >
> > while(true)
> > N++;
> >
> > As soon as you give me the correct termination value
> > of this loop (which NEVER terminates) thenn, I will
> > agree with you...
> >
> > Simon Biber wrote:
> >
> > > > Well I guess that I was less than sufficiently precise here...
> > > > When the |Denominator| becomes smallest, the value becomes
> > > > largest... So large in fact that it is no longer even a number...
> > >
> > > Even if you keep adding to a number, even if you keep squaring a number,
> and
> > > any other increasing operation, the value can never be "no longer even a
> > > number"... all sets of numbers including counting, integer, rational and
> > > real go on FOREVER.
> > >
> > > Infinity is a concept. It has a precise mathematical description: "An
> > > unbounded number greater than every Real Number"
> > >
> >
> > This would be incorrect...
> >
> > >
> > > Any process such as you have described cannot ever cease to be a real
> > > number, so cannot ever reach "infinity".
> > >
> > > Simon.
> >