Re: PBZ: Short Proof of Fermat's Last Theorem

From: Deep K. Deb (deepkdeb_at_yahoo.com)
Date: 08/06/04 

Date: 6 Aug 2004 07:57:59 -0700

Gottfried Helms <helms@uni-kassel.de> wrote in message news:<cev4q3$i6b$00$1@news.t-online.com>...
> Am 06.08.04 04:24 schrieb myasuda:
> > Robert Israel (israel@math.ubc.ca) wrote:
> > : In article <b671fc3e.0407181702.55fd743b@posting.google.com>,
> > : Craig Feinstein <cafeinst@msn.com> wrote:
> > : >I, Professor Ben Zona, have decided to used the initials PBZ in order
> > : >that the good people of usenet should be aware of my wonderful
> > : >discoveries. Here is a remarkable proof of FLT, which I discovered
> > : >while eating a BLT.... Ha, ha!! That was a funny joke! Seriously, here
> > :
> > : Seriously, are you having a manic episode? I hope this message is
> > : a forgery. Otherwise, your crackpot rating is rising rapidly.
> > :
> >
> > Speaking of crackpots -- check out this FLT article I inadvertently googled (Google News):
> >
> > http://www.manilatimes.net/national/2004/jul/31/yehey/opinion/20040731opi4.html

> > Kindly provide the complete mailing address and email of Dr. E. E. Escultura, the writer of the article, Putting Fermat's last theorem to rest> >

Doesn't speak well for the newspaper that published this "opinion" piece.
> >
> > - Mark
>
> It links prominently to
>
> http://home.iprimus.com.au/pidro/
>
> a set of articles, whose subjects remind to the famous
> archimedes plutonium, with "counterexample to FLT",
> "solution of multibody-problem" etc.
> After a short look into this website I really don't know,
> whether this Professor E.E.Escultura with his many
> papers is "just another fake", and with him the
> Journal "Nonlinear analysis" as well - or whether we face a
> really new problem in mathematical publication...
>
>
>
>
> The "counterexample of FLT" for instance is perfectly in the style
> of archimedes' argumentation, referring to adics, infinite
> integers, and a steady flux of attacks against Wiles.
> Even archimedes plutonium was *referred* in that article...:-)
>
>
> Gottfried Helms
>
> Snippets from the article about FLT below:
> -----------------------------------------------------------
>
> It starts with
>
> > Excerpted from the papers,
> > “Exact solutions of Fermat’s equation (A definitive resolution
> > of Fermat’s last theorem),”
> > Nonlinear Studies, Vol. 5, 1998,
> > “The mathematics of the new physics,”
> > Applied Mathematics and Computation, Vol. 130, 2002 and
> > “The new mathematics and physics,”
> > Applied Mathematics and Computation, Vol. 138, 2003,
> > with refinement and modification.
> > Results still in the works are announced.
> > Earlier version of this article also appears in the
> > website: http://www.users.bigpond.com/pidro/home.htm
>
> continues to
>
> > Aside from the questionable soundness of the theory of curves used by Ribet
> > (all such theories suffered from the Perron paradox before the rectification
> > by Young, his approach suffered from a fatal error. He assumes the conjecture
> > false, that is, that there exist non-zero integers x, y, z satisfying
> > Equation (1) for n > 2. Standing on this premise, it washed off as soon as
> > the supposed proof was accomplished.
> >
> > An Internet scan in November 1995 by one of this author's graduate students
> > at the University of the Philippines, Paolo Bayanid, yields this interesting
> > satirical social commentary on the international mathematical community by
> > Archimedes Plutonium. (see Dave Rusin’s website:
> > http://www.math.niu.edu/~rusin/known-math/93_back/aaargh):
> >
> >
> (...)
>
> > (Plutonium introduced the adics – infinite integers – where he
> > found a counterexample to FLT. The requirement of being well-
> > defined for mathematical concepts simplifies everything post 1998.
> > The adics, integers, rationals and irrationals are finite but
> > unbounded. One needs extension and completion well-defined by a
> > new set of axioms to introduce new elements. In the case of the
> > new real line these are dark and unbounded numbers which are also
> > finite and unbounded. In this sense there is a monotone expanding
> > sequence of extension and completion starting from the reals that
> > is a never-ending process. Therefore, completeness is relative)
>
>
>
>
> He even mentions a page of dave rusin,
>
> > Archimedes Plutonium. (see Dave Rusin’s website:
> > http://www.math.niu.edu/~rusin/known-math/93_back/aaargh):
>
> where the following sci.math article of E.E.Escultura from 1998
> is reproduced:
> ===============================================================
> > From: escultur@skyinet.net (E. E. Escultura)
> > Subject: Exact Solutions of Fermat's Equation
> > Date: 07 Sep 1998 00:00:00 GMT
> > Newsgroups: sci.math
> >
> > International Federation of Nonlinear Analysts
> > Florida Tech, Department of Mathematical Sciences, Melbourne,
> > FL 32901-6988, USA Tel.: (407) 674-7412 * E-mail: ie.fit.edu
> > dkermani@winnie.fit.edu
> > Website: http://www.fit/AcadRes/ifna.html
> >
> > 5 August 1998
> >
> > PRESS RELEASE
> >
> > FILIPINO CAPTURES LAST MATH STRONGHOLD
> >
> > Remember the Pythagorean theorem in high school? It says that given
> > any triangle with sides of lengths x, y, z, where z is the length of
> > the longest side, then if you add the squares of x and y the result is
> > the square of z. We may express this fact as an equation:
> >
> > x^2 + y^2 = z^2.
> >
> > One may easily check that the natural numbers 3, 4, 5 or 5, 12, 13
> > satisfies this equation. In fact, there are trillions upon trillions
> > of triples of natural numbers that satisfy this equation.
> > If we replace the power 2 by any number n greater than 2 we have this
> > equation:
> >
> > x^n + x^n = z^n,
> >
> > that is, x raised to the power n plus y raised to the power n equals z
> > raised to the power n.
> > In 1637 Pierre de Fermat claimed, unfortunately without proof,
> > that this equation, called Fermat's equation, has no solution in
> > natural numbers x, y, z all different from the number 0. This claim is
> > called Fermat's last theorem (FLT); it is really a conjecture since no
> > proof is known. For 360 years no one succeeded in proving or
> > disputing this claim.
> > This year, Filipino mathematician, Edgar E. Escultura, disputed this
> > claim by showing that there are, in fact, trillions upon trillions of
> > natural numbers x, y, z that satisfy Fermat's equation. The
> > publication of this major discovery in the 29-page paper, Exact
> > Solutions of Fermat's Equation (Definitive Resolution of Fermat's Last
> > Theorem), Nonlinear Studies Vol. 5, No. 8, September, 1998, follows
> > extensive debate on the subject, via Internet, last April to August
> > between Escultura and several mathematicians around the World. The
> > journal was updated on the debate. This unusual process was necessary
> > because no one could referee the paper since the resolution of this
> > problem required reconstruction of our number system, which Escultura
> > did. Moreover, the publication of an earlier claim of solution of the
> > problem by Andrew Wiles of Prrinceton University in the Annals of
> > Mathematics, May 1995, made the paper initially controversial. The
> > paper refutes Wiles' claim and contradicts his result. When Wiles
> > announced his proposed solution of the problem in 1993, Escultura
> > pointed out his main error as lack of knowledge of recent mathematical
> > discoveries, particularly, the uncertainty in the behavior of large
> > numbers and in dealing with infinite mathematical systems such as the
> > natural numbers.
> > Earlier, Escultura captured the last stronghold of physics with his
> > solution of the gravitational n-body problem posed by
> > (...)
> =====================================================================
>
> --- End of attachment ----------

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