Your favorite theorem?

[pokerfan]

http://personal.stevens.edu/~nkahl/Top100Theorems.html">The Hundred Greatest Theorems

I gotta go with Pythagoras:

[90-percent]

1. me

Always been real fond of the Central Limit Theorem.

-90% Jimmy

[The Traveler]

2. Gotta go with Goedel's Theorem

which was anticipated by Emerson, who observed that consistency is the hob goblin of small minds, or something like that.

[FiveGoodMen]

14. I think it was "A foolish mind consistently hobbles little goblins"

[The Traveler]

15. No! It was

"Foolish goblins consistently hobble little minds." Yeah.

[BlooInBloo]

3. Too many. The diagonal proof is wonderful for noobs...

v-e+f = 2 as well.

The independence of CH is among the *harder* proofs.

Binomial Thm, Central Limit, etc.

For my money, I suppose the Fundamental Theorem really has to win. There's not really a contest about that.

[Dr. Strange]

11. Which Fundamental Theorem?

I'm partial to the Fundamental Theorem of Arithmetic. But that's just because I'm a sucker for unique factorization!

[BlooInBloo]

13. lol! Of calculus. The ability to get information about the interior just by knowing...

what's happening on the boundary.

[rurallib]

4. For those of us who can barely count

but may be interested in what some of these theorems are, is there a place we can go to learn about them?

[BlooInBloo]

5. www.google.com

[rurallib]

7. Thanks I thought there might be a site on theorems

[BlooInBloo]

9. There are many.

[pokerfan]

8. Ask Dr. Math

http://mathforum.org/dr.math

[Dr. Strange]

17. Here's some music from "Calculus: The Musical"

http://calculusthemusical.com/audio/

[Dr.Phool]

6. Schroedingers cat.

There's nothing quite like a dead cat, unless it's alive.

Sequel called "Pet Semetary".

[Dr. Strange]

10. What the hell's up with #20?

All Primes Equal the Sum of Two Squares

Do they mean that all primes congruent to 1 mod 4 can be written as a sum of two squares? Because you can't do that with ALL primes! Grr!

Anyway, I'm fond of the Incompleteness Theorem, Ramsey's Theorem, Cantor's work regarding the cardinality of the rationals and the reals, and the Four Color Problem.

[BlooInBloo]

12. Hahahah - assuming integer solutions, yah.

[Random_Australian]

16. While I like De Moivre's and Green's Theorems, I'd have to say that the real deal is

Fourier and his series.

They rule.

[Sundoggy]

18. Fermat's, until...

some spoilsport went and solved it!

[HiFructosePronSyrup]

19. The Monty Hall problem.

http://en.wikipedia.org/wiki/Monty_Hall_problem

I didn't see it on the list, but I saw the Birthday problem, and that one also makes people look silly.

[pokerfan]

20. One of my favorites

I did not see the 21 film, but apparently Kevin Spacey's character did a very poor job of explaining it judging by the comments I've read on the IMDB board.

[eppur_se_muova]

21. Fermat's "Little" Theorem.

Absolute workhorse in factorization/primality testing.

http://primes.utm.edu/notes/proofs/FermatsLittleTheorem.html