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Re: Tautologies, math, and Wiles's work
Posted:
Jul 10, 2003 4:11 PM
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clearly, for the greater glory of his church-school sponsors, so
as not to tip-off the many, competent to beat him
to the punch (such as Ribet). of course,
it could also be flawed; or,
simply inelegant.
how would you characterize the sum-total
of your now 8-year mission, monsieur Harris,
minus all of the vituperative garbarge?
of course,
such an approach may be feasible for teaching math, although
it's hard to imagine the student-body that'd tolerate that sort
of harangue. (of course,
"in real life," one probably would be forced (or happy)
to modify one's approach, if the students were at-all hominid .-)
jstevh@msn.com (James Harris) wrote in message news:<3c65f87.0307090658.74196bbc@posting.google.com>...
> > Ah, well, this quotation helps explain where you got your impression of
> > what Wiles was claiming. You are perfectly correct in analyzing this
> > sentence by pointing out that on the one hand we have elliptic curves,
> > and on the other hand we have modular forms, and there is no "superset"
> > of objects of which elliptic curves and modular forms are both members.
> > So just because you get this L-series thingy from an elliptic curve,
> > and you can get the same L-series thingies from modular forms, how can
> > this possibly imply anything like "all elliptic curves are modular"?
>
> Good question.
> As of the early 1990s, most mathematicians believed that the
> Taniyama-Shimura conjecture was not accessible to proof. However, A.
> Wiles was not one of these. He attempted to establish the
> correspondence between the set of elliptic curves and the set of
> modular elliptic curves by showing that the number of each was the
> same. Wiles accomplished this by "counting" Galois representations and
> comparing them with the number of modular forms.
> My assessment is that Wiles commits the logical fallacy of "Cum hoc
> ergo propter hoc".
>
> (Source http://users.tru.eastlink.ca/~brsears/reafault.htm )
> Why would Wiles deceive his colleagues? Why haven't more people
> thought that relevant? Why be surprised that a man obsessed and
> isolated for several years living a deception might delude himself
> into believing a logically flawed approach might work?
--A church-school McCrusade (Blair's ideals?):
Harry-the-Mad-Potter want's US to kill Iraqis?...
For a 1000-year "anglo-american hegemony?"
"HEY, JIMMY; LET'S US and SU FIGHT" -then-PM of England & Zbiggy
http://www.tarpley.net/bush25.htm ("Thyroid Storm" ch.)
http://www.rwgrayprojects.com/synergetics/plates/plates.html
http://quincy4board.homestead.com/files/curriculum/Cosmo.PCX
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