Unity

Jul 14, 2007 19:05

"Black
and
white are
all I see
in my infancy.
Red and yellow then came to be,
reaching out to me...
Lets me see."
-Tool - Laturalus
(A song where the lyrical structure of the entire first portion corresponds to the Fibonacci Sequence.)

Three is a Magic NumberThe three smallest numbers are 1, 2, and 5. (Three, sir!) 3 ( Read more... )

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Comments 5

anonymous July 15 2007, 15:49:01 UTC
More than that, if you keep going the lyrics are metrically palindromic. (1/1/2/3/5/7/5/3/2/1/1 . . .)

Also, 1 is *not* a prime. Going all the way back to Euclid (maybe further) primes got their importance from being the unique building blocks of factorization, and were defined by reference to the fact that every positive integer greater than one can be written uniquely as a product of primes. But if you include one as a prime, this breaks down: x = x*1 = x*1*1 = x*1*1*1 . . . and so on.

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unlikelychrist July 15 2007, 16:08:08 UTC
A prime number is described to me as one that "is only divisible by 1 and itself". That's good enough for me.

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anonymous July 15 2007, 22:41:52 UTC
Not for mathematicians -- that "and" is very important. Like most things you learn in elementary school it's a useful oversimplification that isn't quite true.

One is the *unit* for the integers, and the distinction between a unit and a prime is important. The generalized definition of a prime is any element p of a ring that's not zero or a unit and can't be factored into p = a * b (where a and b are also nonzero and not units). So "primeness" isn't just for numbers, and you can't really define primes axiomatically in a way that allows the unit to be one of them without mucking up most of useful mathematics.

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unlikelychrist July 16 2007, 00:21:12 UTC
I am so not having written an entire giant essay unifying metaphysics, western theology, and eastern theology, only to have the damned thing ruined by a numerical technicality. Don't like it? Fine. Ignore the entire bloody message altogether and enjoy Hell.

Looking right past the important messages to pick out the bleeding semantics and technicalities that it suits you to get hung up on.
They did that once before.
And called it THE BIBLE.

Christ.

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