Sunday, January 10, 2010

The Fine Tuning of Mathematics.

There are certain things about functional systems like mathematics that need to work absolutely perfectly in order to work at all. For example, did you know that 1+2+3+4=10? But, did you know that if any of those values were off by even a fraction of a millionth of a millionth of a degree of a billionth the entirety of mathematics would fail to work. And as a consequence one could prove anything at all, even and especially if it were false. If 1 + 2 + 3 + 4 really equaled 10.00000000000000000000001 all of mathematics and logic would collapse upon itself. Really! It would.

Here, allow me to prove that I'm a cherry pie given this rather minor bit of mathematics.

1 + 2 + 3 + 4 = 10.00000000000000000000001
1 + 2 + 3 = 6.00000000000000000000001
1 + 2 = 3.00000000000000000000001
1 = 1.00000000000000000000001
0 = 0.00000000000000000000001
100000000000000000000000 * 0 = 0
100000000000000000000000 * 0.00000000000000000000001 = 1
0 = 1
1 = 2
Because I am a cherry pie because a cherry pie and myself are two, but we can see that two equals 1 and therefore I and a cherry pie are one and therefore I am a cherry pie.

You see, even given the most minor amount of alteration in the fine tuning of mathematics we are left to conclude anything and everything. Everything becomes true and everything becomes false. So how can it be that mathematics is so perfect? Doesn't it seem as though math is too perfect to have arisen out of nothing or on it's own?

There are an infinite number of numbers that humans have ever thought of and a finite subset of all numbers that humans have thought of. And due to a quirk in set theory the infinity set of all numbers and the infinite set of humans have thought of are the exact same size. For every number that humans haven't thought of I can give you a number, and we can find that these numbers have a 1 to 1 ratio. See Cantor Sets. So there are as many numbers as there are numbers humans have never conceived of so it cannot be the case that numbers are a concept of minds. Further, because numbers don't have a physical existence we aren't going to have the number 8 die in a car crash or 72 get his by an asteroid. It must be the case that the perfection of numbers, the fine tuned nature of numbers, the transcendental quality of numbers can only be explained by elves.

You see, elves are the only creatures able to make numbers work. Elvish magic is well known to bind things together and make things work. And since this is exactly what we see when it comes to the fine tuning of math, it must be the case that elves exist. It must be the case that elven magic is what makes all mathematics work, for if any number were off by as little as one googolth, the entire system would collapse and down would be up, left would be right (I could make proofs for these as well). Elven magic is the only magic that could so perfectly craft the numbers for elves are known the world around as the greatest of craftelves. So when ever you calculate a good tip for a waitress and then round down, or help do your nephew do his math homework, you're going to be using a system crafted by elves. To not believe in elves when you know quite well that 2 + 2 still equals 4 is the height of arrogance and frankly takes more faith to accept than to accept that elves exist.


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