science forum Guru Wannabe
Joined: 25 Oct 2005
|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
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
(you get the idea; add to this at will with Copy and Paste if you wish)
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