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Sherlock
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- Jan 28, 2012
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It can be a theorem, a definition, a proof, an identity, a trick/technique/method etc.
That is an easy one for me: the Russel/Whitehead proof that $1+1=2$.It can be a theorem, a definition, a proof, an identity, a trick/technique/method etc.
All 379 pages of it. XDThat is an easy one for me: the Russel/Whitehead proof that $1+1=2$.
Without even spending one second thinking about this, I immediately thought the "pigeonhole principle".It can be a theorem, a definition, a proof, an identity, a trick/technique/method etc.
Cantor's diagonal slashIt can be a theorem, a definition, a proof, an identity, a trick/technique/method etc.
That is a very good choice. I am surprised I did not think of it.Cantor's diagonal slash
My favorite result in mathematics is the Basel Sum.It can be a theorem, a definition, a proof, an identity, a trick/technique/method etc.
Mine has not come out yet.It can be a theorem, a definition, a proof, an identity, a trick/technique/method etc.
This quite simply cannot be true!Mine has not come out yet.
Even better is $e^{i\pi}+1=0$, because then you've also got the additive identity involved in the equation.$\displaystyle e^{i \pi} = - 1 $
Parallel postulate-Euclid's fifth axiom.
Oh, I was reading that just the other day in Linear Analysis: An Introductory Course -Béla Bollobás. It's very clever!Cauchy's proof of the AM-GM inequality.
one has to be a bit careful about replacing "rigor" with "intuition" (although intuition is often useful for thinking about things we think *may* be true). let me give a simple example:Anything that is elementary, lol. No, I like anything that you can change and have your own explanation to it. That it might be less rigorous in a text book I have in school. Otherwise I like anything from the algebraic field and mathematical finances. I find myself becoming more engrossed in algebra's and mathematical finances due to a large amount of the courses being available at a local community college. I have Business Calculus and Business Statistics. I think the best way at my level to experience something in mathematics before college is to have an application. I also am on the track for an accounting/clerical job and looking into a stock broker license so I can trade stocks for family members.