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Topic: FLT Discussion: Simplifying
Replies: 65   Last Post: Mar 17, 2001 11:59 PM

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Dennis Eriksson

Posts: 19
Registered: 12/13/04
Re: FLT Discussion: Simplifying
Posted: Jan 21, 2001 9:39 AM
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Hi,

I've been a JSH-addict for a while now, and I think I for once should give a reply to one of his posts, that I thought was really outrageous (well, they aren't that rare). I know it isn't my bussiness, but I get really annoyed by his arrogant tone and lack of understanding (Denial isn't just a river in Egypt) of the objections raised about his "proof".

> You've been arguing that I have to go to complex numbers for my proof
> using x^2 + y^2 = 0. I think you're a bit confused by that, as you've
> now gone to saying it also applies to my FLT proof.
>
> It turns out that I can extend the ring I'm using in the FLT proof,
> without going into complex numbers, and make all of your objections go
> away.
> But I prefer to discuss these details, and highlight problems with the
> current mathematical understanding of these issues.


You prefer to discuss the examples. As several posters have pointed out, you consider your own examples to consitute proofs (or at least that they obviously leads to a proof), and that others counterexamples aren't counterproofs (since you can't disprove a proof!) Also, what exactly is the current mathematical understanding of these issues you are talking about?

> I don't know why you guys forget, when I've told you more than once,
> that I have selfish interest in these discussions.


No way!

One, I'm exploring
> my own understanding of deep mathematical properties, and two, I'm
> highlighting that many of you simply *believe* that you have a very
> thorough understanding, when you don't.


There are several introductory texts on algebraic structures that you should have peek at:

"Topic in Algebra" Herstein

or any book with the title

"A first introduction to Abstract Algebra"

and later perhaps something like "Algebra" by Lang. I think you'll be able to work up your intuition with rings and fields and suchalike by studying those.

> After all, if it took the mathematical community 360 years to produce a
> proof of several hundred pages of something that I proved in less than
> five years with a couple of pages, then maybe you all don't know quite
> as much as you think.


How do you know that you've proved it? As far as I know, you are the only one that believes you've proved the theorem. That should be a hint.

> Again, as of now, I *could* if I wished produce something that covered
> every base you folks can bring up, and that is in the standard form
> that you're used to. But, from my perspective, it would be more
> complicated than necessary (thought still much, much shorter than what
> is currently accepted as a proof of FLT), and it would be continuing
> perspectives that are too limited.
>


It would suffice if you gave a -proof-, using the properties of the ring you are working within. I don't recommend that you take a peek at -all- rings and give a contradiction by studying them all.

Dennis,





















Date Subject Author
1/15/01
Read FLT Discussion: Simplifying
jstevh@my-deja.com
1/15/01
Read Re: FLT Discussion: Simplifying
Dik T. Winter
1/16/01
Read Re: FLT Discussion: Simplifying
Charles H. Giffen
1/16/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/16/01
Read Re: FLT Discussion: Simplifying
Randy Poe
1/18/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/18/01
Read Re: FLT Discussion: Simplifying
Michael Hochster
1/18/01
Read Re: FLT Discussion: Simplifying
Peter Johnston
1/18/01
Read Re: FLT Discussion: Simplifying
Randy Poe
1/18/01
Read Re: FLT Discussion: Simplifying
Doug Norris
1/16/01
Read Re: FLT Discussion: Simplifying
Doug Norris
1/16/01
Read Re: FLT Discussion: Simplifying
Randy Poe
1/16/01
Read Re: FLT Discussion: Simplifying
Dik T. Winter
1/18/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/19/01
Read Re: FLT Discussion: Simplifying
Dik T. Winter
1/19/01
Read Re: FLT Discussion: Simplifying
Randy Poe
1/20/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/20/01
Read Re: FLT Discussion: Simplifying
oooF
1/21/01
Read Re: FLT Discussion: Simplifying
hale@mailhost.tcs.tulane.edu
1/21/01
Read Re: FLT Discussion: Simplifying
Peter Percival
1/21/01
Read Re: FLT Discussion: Simplifying
Randy Poe
1/26/01
Read Re: FLT Discussion: Algebra...
Franz Fritsche
1/19/01
Read Re: FLT Discussion: Simplifying
gus gassmann
1/20/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/20/01
Read Re: FLT Discussion: Simplifying
Doug Norris
1/26/01
Read Re: FLT Discussion: Matrix or not, that's NOT the question...
Franz Fritsche
1/16/01
Read Re: FLT Discussion: Simplifying
hale@mailhost.tcs.tulane.edu
1/16/01
Read Re: FLT Discussion: Simplifying
Randy Poe
1/17/01
Read Re: FLT Discussion: Simplifying
hale@mailhost.tcs.tulane.edu
1/18/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/19/01
Read Re: FLT Discussion: Simplifying
hale@mailhost.tcs.tulane.edu
1/20/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/21/01
Read Re: FLT Discussion: Simplifying
hale@mailhost.tcs.tulane.edu
1/18/01
Read Re: FLT Discussion: Simplifying
Peter Percival
1/19/01
Read Re: FLT Discussion: Simplifying
hale@mailhost.tcs.tulane.edu
3/17/01
Read Re: FLT Discussion: Simplifying
Ross A. Finlayson
1/16/01
Read Re: FLT Discussion: Simplifying
hale@mailhost.tcs.tulane.edu
1/18/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/19/01
Read Re: FLT Discussion: Simplifying
hale@mailhost.tcs.tulane.edu
1/29/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/19/01
Read Re: FLT Discussion: Simplifying
Dik T. Winter
1/21/01
Read Re: FLT Discussion: Simplifying
Dennis Eriksson
1/15/01
Read Re: FLT Discussion: Simplifying
Michael Hochster
1/16/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/16/01
Read Re: FLT Discussion: Simplifying
Michael Hochster
1/18/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/18/01
Read Re: FLT Discussion: Simplifying
Peter Percival
1/18/01
Read Re: FLT Discussion: Simplifying
Randy Poe
1/19/01
Read Re: FLT Discussion: Simplifying
oooF
1/21/01
Read Re: FLT Discussion: Simplifying
Dik T. Winter
1/21/01
Read Re: FLT Discussion: Simplifying
oooF
1/18/01
Read Re: FLT Discussion: Simplifying
Edward Carter
1/19/01
Read Re: FLT Discussion: Simplifying
W. Dale Hall
1/19/01
Read Re: FLT Discussion: Simplifying
Michael Hochster
1/16/01
Read Re: FLT Discussion: Simplifying
Randy Poe
1/16/01
Read Re: FLT Discussion: Simplifying
Randy Poe
1/17/01
Read Re: FLT Discussion: Simplifying
W. Dale Hall
1/17/01
Read Re: FLT Discussion: Simplifying (Grammar fix)
W. Dale Hall
1/19/01
Read Re: FLT Discussion: Simplifying
oooF
1/16/01
Read Re: FLT Discussion: Simplifying
Charles H. Giffen
1/16/01
Read Re: FLT Discussion: Simplifying
David Bernier
1/16/01
Read Re: FLT Discussion: Simplifying
jstevh@my-deja.com
1/18/01
Read Hi - little fun about FLT
Arthur
1/30/01
Read Re: FLT Discussion: Simplifying
plofap@my-deja.com
1/30/01
Read Re: FLT Discussion: Simplifying
plofap@my-deja.com
1/30/01
Read Re: FLT Discussion: Simplifying
plofap@my-deja.com

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