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Topic: WM's Matheology S 030
Replies: 4   Last Post: Jul 2, 2012 9:10 PM

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Re: WM's Matheology S 030
Posted: Jul 2, 2012 8:54 AM

On Jul 2, 4:42 am, Virgil <vir...@ligriv.com> wrote:
> In article
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>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > On 2 Jul., 01:17, "Mike Terry"

> > > "WM" <mueck...@rz.fh-augsburg.de> wrote in message
>
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> > > > On 30 Jun., 21:10, "Mike Terry"
> > > > <news.dead.person.sto...@darjeeling.plus.com> wrote:

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> > > > > The theorem has it's own name: "The
> > > > > Intermediate Value Theorem" (IVT).

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> > > > Fine that you know it. Now define: f(x) = 1 for x in an interval I_k
> > > > and f(x) = -1 for x not in any I_k and
> > > > f(x) = 0 for x = y_k_j

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> > > Yes, I know it - I learned it in high school, but it seems you never learned
> > > it?  For IVT to apply we need to have the function f *continuous* on the
> > > interval.

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> > No, a function like that defined above also obeys that theorem.
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> But the English version of the Intermediate Value Theorem, or IVT, says
> that a function f continuous on any real interval [a,b] must assume
> EVERY value between f(a) and f(b), and your function does NOT assume
> every real value between -1 and 1, unless, in WM's world, 0 is the only
> real number between -1 and 1.
>
> Thus WM once again reveals his abysmal ignorance of true mathematics.
> --

Of course it does. Just take any interval I_k and let x be the point
next to I_k. Then do a linear continuation of x (since there must
automatically be a whole raft of other points between x and I_k, even
though x is "next"), and voila. Anyone who cannot see that must be a
hopeless matheologist, indoctrinated since childhood in the wrong way
to do things. All hail WM, the Greatest Mathematician of All Times!

Date Subject Author
7/2/12 mueckenh@rz.fh-augsburg.de
7/2/12 Virgil