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DGoncz@aol.com
science forum Guru Wannabe

Joined: 25 Oct 2005
Posts: 122

Posted: Fri Jul 14, 2006 7:50 pm    Post subject: (humor) Another hand-waving incredibly simple proof of FLT

Good morning and welcome to Harvard.

As Professor M'lctenbaum has mentioned, I am here to present a proof of
Fermat's Last Theorem. This proof is simpler than the proof involving
elliptic functions; simple enough to be the proof mentioned in Fermat's
copy of "Arithmetica".

We begin with (scribbles on chalkboard):

n > 2 /\ a,b,c in Z => a^n + b^n = c^n

(pauses)

No, make that (crossing through = )

n> 2 /\ a,b,c in Z --> a^n + b^n # c^n

There. That's right. (someone stands up) Yes?

"Shouldn't n be an integer, too?"

Well, of course n is an integer! Good grief! Do I have to spell every
little thing out for you? Please, sit down. (inserts n with a caret,
hastily; questioner sits down)

n>2 /\ a,b,c,nin Z --> a^n + b^n # c^n
^
The proof is by contradiction. (writing more slowly)

a^n + b^n = c^n --> n<= 2

Now,

(you get the idea; add to this at will with Copy and Paste if you wish)

Doug Goncz
Replikon Research
Seven Corners, VA 22044-0394

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