Re: Simple proof of FLT: Why is it impossible?

On 11 Mar 2006 04:32:12 -0800,
john_ramsden@xxxxxxxxxxxxxx wrote:

quasi wrote:

On Sat, 11 Mar 2006 03:39:40 EST, "Roman B.
Binder"
<rbinder@xxxxxxxxxxxxxxxx> wrote:

It was also helping to him to determine
some other questions and so far
he liked to keep it in secret

What makes you think he liked to keep his methods
secret?

with famous method for to achieve roots
of some types of 3-nd degree equations
until Cardano publish this secret ?

How do you connect Fermat to the solution of cubic
equations?
Cardano lived in the 1500's, Fermat lived in the
1600s.

Roman actually said "as it used to be with famous
method..".
So he was just drawing a parallel with those earlier
results.

I'm sure I read somewhere that Fermat never
published
a single proof. Maybe it wasn't so much secrecy but
a
feeling shared by him and his group of
correspondents
that by each pursuing problems without knowing
details
of the proofs claimed by the others they would be
more
likely to explore the ground more thoroughly and
find
more proofs, if that makes sense.

Yes, that makes sense. In addition, the secrecy may
also have been
intended to maintain the atmosphere of mystery and
excitement.
Apparently, he greatly enjoyed posing hard challenge
problems to other
mathematicians. It wouldn't make sense for him to
defuse the challenge
by revealing all the methods in advance.

I found a short bio which provides support for both
Roman Binder's
secrecy claim as well as your suggestion that perhaps
he was
withholding details of his methods so as to provoke
further
exploration.

<http://www-gap.dcs.st-and.ac.uk/~history/Mathematicia
ns/Fermat.html>

quasi
Thank You,
I've just glanced to this web-page for to know some
more details about challenges between mathematicians
in the time of P.Fermat.
Once more I can support the possibility to uncover
one of the almost elementary methods helping to P.Fermat
in secrecy to support his results, and especially to FLT.
Ro-bin
.

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