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Science Fiction » alt.startrek » Picard and Fermat's Last Theorem...
| Picard and Fermat's Last Theorem... [message #33082] |
Do, 12 Mai 2005 04:17 |
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Looks like Picard might not have been so 'wrong' about Fermat's Last Theorem
being "unsolved" after all.
I only hope this guy doesn't get killed at a zebra crossing...
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http://www.manilatimes.net/national/2005/may/05/yehey/top_st ories/20050505to
p4.html
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Thursday, May 05, 2005
UP MATH PROF PROVES PRINCETON MAN WRONG
By Rony V. Diaz
Edgar Escultura, a prof-essor of mathematics at the University of the
Philippines, proved that Andrew Wilesı proof of Fermatıs last theorem is
false.
In 1993 Andrew Wiles of Prince-ton University announced at a lecture in
London that he had proved Fermatıs last theorem (FLT). This is a conjecture
by the French mathematician Pierre de Fermat in 1637 that for any integer n
greater than 2, Fermatıs equation that claimed xn + yn = zn has no solution
in integers x, y z except 0 which satisfies the equation.
Integers are whole numbers like 8, 73, 1,257, etc. Since that time
mathematicians and amateurs had been trying to find a proof but failed.
When Wiles made the announcement it was celebrated around the world. In
Chicago, for instance, mathematicians marched on the streets in euphoric
celebration.
Escultura, who had been working on the problem since 1992, disputed Wilesı
claim and inserted his refutation in the appendix to his book, Diophan-tus:
Introduction to Mathematical Philosophy. He went on to present his results
at the Second International Conference on Dynamic Systems and Applications
in Atlanta in 1995.
In 1998 he published his formal refutation in ³Exact solutions of Fermatıs
equations (A definitive resolution of Fermatıs last theorem)² in the Journal
of Nonlinear Studies, Vol. 5, No. 2, pp. 227254. Since then Escultura has
published over two dozen papers on the subject, and its applications to
physics, in international scientific journals.
Esculturaıs refutation sparked much discussion on the Internet that has
spilled over to other fields such as physics, astronomy, cosmology,
intelligence, learning, chaos, turbulence, gravity and nonlinear analysis.
He took the position that the failure to resolve the problem for over 360
years reveals the inadequacy and defects of foundations, number theory and
the real number system. He undertook a thorough critique-rectification of
these fields and found, among others, that the real number system in basic
algebra, the foundation of mathematics, is defective. Specifically, two of
its axioms (the trichotomy and completeness axioms, for those who took basic
algebra in high school and college) are false.
Escultura went on to overhaul the real number system and reconstructed it
without these false axioms using only three simple axioms instead of 12. The
result is a new real number system that is free from defects and
contradictions, finite and enriched with new numbers that have important
applications for physics.
Using the new real number system Escultura constructed many counterexamples
to FLT showing that it is false.
On April 26, Andrew Wiles conceded an error in his proof. His letter and
Esculturaıs reply are below.
Tuesday 04/26/2005 6:57:33am
Dear Sir,
Your work is incredible, I read all of it just yesterday and let me tell you
I respect you. I am going to review all my proofı which I am sure is wrong
(thanks to you!).
Would you like to collaborate with me in this work? I have noticed some
imperfections in your perfect proof (that sounds like you), and Iıd like to
create a perfect proof with you, great professor.
Also Iıd like to have the address of the guy who let you get a PhD 30 years
ago. Iıd like to discuss few things with him. . .
Very respectfully,
A. Wiles
Dear Prof. Wiles,
I welcome and appreciate your comments and I hope we can have a continuing
dialogue. Regarding your invitation to collaborate with you, I would be glad
to. But here is the situation:
My critique of mathematics is focused not on your work but mainly on the
underlying fields of FLT which are foundations, number theory and the real
number system. Here is what I found:
1) Two of the axioms of the real number system are false, namely, the
trichotomy and completeness axioms (the latter is a variant of the axiom of
choice), counter-examples to them were constructed by Brouwer and
Banach-Tarski, respectively.
2) I also noted a flaw in the use of the universal or existential
quantifiers on infinite set.
3) To avoid contradictions, it is necessary to well define a mathematical
space and its concepts by a consistent set of axioms. A concept is well
defined if its existence, properties and relationship with other concepts
are specified by the axioms. Most of the concepts of mathematics today are
ill-defined.
Based on these findings I constructed the new real number system on three
simple axioms. Its most updated version appears in the Journal of Nonlinear
Analysis and Phenomena. An extended abstract of it appears in my updated
website in June.
Yes, indeed, there are imperfections in my work but not on principles. And
if there are major ones, I would like to know.
Regarding my academic advisor, he was the late L. C. Young, distinguished
research professor and professor emeritus at the University of Wisconsin.
Again, thank you for your interest in my work and for inviting me to
collaborate with you.
With my very best wishes.
E. E. Escultura
Escultura was a former math and science editor and columnist of The Manila
Times. He also taught math at The Manila Times School of Journalism.
He is currently working with Bernard Ziegler of the University of Texas at
Houston on the new calculus based on Escul-turaıs real number system.
Ziegler and Escultura will also collaborate on a new nonstandard analysis, a
subject on which Escultura has published many papers in peer-reviewed
international journals.
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http://www.manilatimes.net/national/2005/may/05/yehey/top_st ories/20050505to
p4.html
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--
"I have yet to see any problem, however complicated, which, when looked at
in the right way, did not become still more complicated."
-- Paul Anderson
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| Re: Picard and Fermat's Last Theorem... [message #33088 ] |
Do, 12 Mai 2005 04:53 |
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Elvis Gump wrote:
> Looks like Picard might not have been so 'wrong' about Fermat's Last Theorem
> being "unsolved" after all.
>
> I only hope this guy doesn't get killed at a zebra crossing...
> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
> http://www.manilatimes.net/national/2005/may/05/yehey/top_st ories/20050505to
> p4.html
Um. You don't actually *believe* that, do you? I mean, after all
the attention that Wiles got for proving the theorem, you'd think
that there would have been *some* mention on the net about the
proof having been refuted..?
And as for the supposed letter from Wiles:
> Tuesday 04/26/2005 6:57:33am
>
> Dear Sir,
>
> Your work is incredible, I read all of it just yesterday and let me tell you
> I respect you. I am going to review all my proofı which I am sure is wrong
> (thanks to you!).
>
> Would you like to collaborate with me in this work? I have noticed some
> imperfections in your perfect proof (that sounds like you), and Iıd like to
> create a perfect proof with you, great professor.
.... doesn't that sound, well, like it was made up by a crackpot?
I suggest a quick Google search on "Escultura" and "Fermat".
--
Joel Polowin jpolowinXYZZy [at] sympatico.ca but delete "XYZZy" from address
Sociology/biology quiz: Bob and Helen Parr are, respectively, blond
and red-haired. Their angsty daughter Violet has black hair. Discuss.
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| Re: Picard and Fermat's Last Theorem... [message #33091 ] |
Do, 12 Mai 2005 05:24 |
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Elvis Gump wrote:
> When Wiles made the announcement it was celebrated around the world. In
> Chicago, for instance, mathematicians marched on the streets in euphoric
> celebration.
Am I the only one who finds that statement amusing?
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| Re: Picard and Fermat's Last Theorem... [message #33092 ] |
Do, 12 Mai 2005 05:31 |
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Joel Polowin wrote:
>
> I suggest a quick Google search on "Escultura" and "Fermat".
>
DONE, and here's what I found:
It appears the search for a proof to Fermat's Last Theorem, a
350-year-old problem that has puzzled the greatest intellects in
mathematics since its conception, is back underway. Professor Jack
Vincenza of Iowa State University took out Andrew Wiles' proof for one
last look "on a hunch," a 'hunch' which turned out to be fatal for Wiles
and his beloved 'proof.'
"I remembered that the handwriting on one of the long divisions was
nearly illegible and the ink was a little smeared," Vincenza said in a
press release. Vincenza was tipped off by a conversation he overheard
from a bathroom stall where Wiles and a student of Wiles were chuckling
about 'pulling a fast one on all of those sorry S.O.Bs.' After working
out the long division, Vincenza noticed the mistake. Wiles had,
intentionally it seemed, not carried a '3.' "I've been waiting for an
opportunity to bring that bastard to his knees for 11 years now,"
Vincenza said.
Wiles, who responded from Kuala Lumpur where he was preparing to sky
surf between the Petronas Towers, said, "I'll show him and prove the
Riemman hypothesis. Damn! I'll prove everything if I have to. Shit, I'll
carry that three right to his door."
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| Re: Picard and Fermat's Last Theorem... [message #33096 ] |
Do, 12 Mai 2005 06:20 |
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"Elvis Gump" <elvisgump.NO [at] SPAM.fastmail.us> wrote in message
news:BEA826E1.71EFF%elvisgump.NO [at] SPAM.fastmail.us...
> Looks like Picard might not have been so 'wrong' about Fermat's Last
> Theorem
> being "unsolved" after all.
>
<snip terribly obvious internet hoax that "scientist" Gump swallowed hook,
line and sinker>
Try reading a math book sometime, one that doesn't have Winnie the Pooh and
Tigger.
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| Re: Picard and Fermat's Last Theorem... [message #33103 ] |
Do, 12 Mai 2005 07:15 |
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Post removed (X-No-Archive: yes)
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| Re: Picard and Fermat's Last Theorem... [message #33105 ] |
Do, 12 Mai 2005 07:58 |
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>> When Wiles made the announcement it was celebrated around the world. In
>> Chicago, for instance, mathematicians marched on the streets in euphoric
>> celebration.
>
>
> Am I the only one who finds that statement amusing?
I don't imagine they actually marched. I imagine it was more a
case of plotting the probable course of a march on an x/y axis
given a random number of predictable variables with a mean of m,
where k is the number of wine coolers in the back of Vince's
pickup truck.
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| Re: Picard and Fermat's Last Theorem... [message #33106 ] |
Do, 12 Mai 2005 08:01 |
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in article BQAge.14900$U01.1496 [at] trnddc07, redhawk at
newfoundsoil [at] hotmail.com wrote on 5/11/05 11:20 PM:
> "Elvis Gump" <elvisgump.NO [at] SPAM.fastmail.us> wrote in message
> news:BEA826E1.71EFF%elvisgump.NO [at] SPAM.fastmail.us...
>> Looks like Picard might not have been so 'wrong' about Fermat's Last Theorem
>> being "unsolved" after all.
> <snip terribly obvious internet hoax that "scientist" Gump swallowed hook,
> line and sinker>
"This new learning amazes me! Explain again how sheep's bladders may be
employed to prevent earthquakes!"
http://img142.echo.cx/img142/358/rikerpicard9la.jpg
> Try reading a math book sometime, one that doesn't have Winnie the Pooh and
> Tigger.
Okay!
http://www.bobandgeorge.com/Archive/0412/041204.png
--
"Man is a rational animal who always loses his temper when he is called upon
to act in accordance with the dictates of reason."
-- Oscar Wilde
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| Re: Picard and Fermat's Last Theorem... [message #33108 ] |
Do, 12 Mai 2005 08:07 |
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in article KfCge.11680$Ph4.389166 [at] ursa-nb00s0.nbnet.nb.ca, Al Smith at
invalid [at] address.com wrote on 5/12/05 12:58 AM:
>>> When Wiles made the announcement it was celebrated around the world. In
>>> Chicago, for instance, mathematicians marched on the streets in euphoric
>>> celebration.
>> Am I the only one who finds that statement amusing?
Apparently so...
> I don't imagine they actually marched. I imagine it was more a
> case of plotting the probable course of a march on an x/y axis
> given a random number of predictable variables with a mean of m,
> where k is the number of wine coolers in the back of Vince's
> pickup truck.
Now there's a man after my abacus!
--
"Where a calculator on the ENIAC is equipped with 18,000 vacuum tubes and
weighs 30 tons, computers in the future may have only 1,000 vacuum tubes
and perhaps weigh 1 1/2 tons."
-- Popular Mechanics, March 1949
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| Re: Picard and Fermat's Last Theorem... [message #33110 ] |
Do, 12 Mai 2005 08:12 |
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>>>>When Wiles made the announcement it was celebrated around the world. In
>>>>>>> Chicago, for instance, mathematicians marched on the streets in euphoric
>>>>>>> celebration.
>
>
>>>>> Am I the only one who finds that statement amusing?
>
>
> Apparently so...
>
>
>>> I don't imagine they actually marched. I imagine it was more a
>>> case of plotting the probable course of a march on an x/y axis
>>> given a random number of predictable variables with a mean of m,
>>> where k is the number of wine coolers in the back of Vince's
>>> pickup truck.
>
>
> Now there's a man after my abacus!
My log's got rhythm, there no denyin'.
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| Re: Picard and Fermat's Last Theorem... [message #33831 ] |
Fr, 13 Mai 2005 04:25 |
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"redhawk" <newfoundsoil [at] hotmail.com> wrote in message
news:BQAge.14900$U01.1496 [at] trnddc07...
>
> "Elvis Gump" <elvisgump.NO [at] SPAM.fastmail.us> wrote in message
> news:BEA826E1.71EFF%elvisgump.NO [at] SPAM.fastmail.us...
>> Looks like Picard might not have been so 'wrong' about Fermat's Last
>> Theorem
>> being "unsolved" after all.
>>
>
> <snip terribly obvious internet hoax that "scientist" Gump swallowed hook,
> line and sinker>
>
> Try reading a math book sometime, one that doesn't have Winnie the Pooh
> and Tigger.
Hoax???????
The next thing you'll be telling me is that the killer chemical Dihydrogen
Monoxide is perfectly safe!!!
--
ClabberHead 5.0 (aka Iron Chef Atkins)
248.5/193.0/185.0 Livin' La Vida Low-Carb since 5/1/03
Al-Team #"e" to 27 decimal places (2.71828182845904523536028747...)
MSTie # 93058
"Think about how stupid the average person is, then remember half of them
are stupider than that!" - George Carlin
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