I’m currently locked down behind massive, concrete walls and solid
steel doors in a maximum-security penitentiary. I was locked up what
feels like a lifetime ago now. I earned it, I did. Every second I rot
here is justice, but that doesn’t change the fact that I hate it.
Math Fact: All numbers are equations; 9 is a Fixed Point.
You may be wondering why we count numbers the way we do. If you’re not wondering that, well, now you are, because by subliminal suggestion, you read that first sentence and were forced to ponder it.
Wait I’m supposed to be talking about math.
Okay, so numbers. Numbers are easy to count. 1…2…3…4…and so on. You don’t even have to think about them. But we’re gonna do just that, because numbers are magical mystical beings from another realm actually an incremental series of one basic equation.
Now, you’re probably wondering why you can’t just count numbers and be done with it. And that’s all fine and dandy. But this shows you something fundamental about the WAY we count numbers: all of our numbers can be simplified down to a base of 10. This explains WHY we use decimal points (you can use this same equation on the flipside of a decimal, but you always have to keep Yk0 on the left side. Yk0 will ALWAYS be the first digit to the left of the decimal.
This also explains why the standard logarithmic base is 10, as compared to 2 in some variations (if you tried to replace the “10″ in the above equations with “2,” you would have a VERY different system of counting).
Finally, this also explains why the number “9″ is what is defined as a “fixed point” under Brouwer’s Theorem. If you add up the integers of any two-or-more digit number and subtract them from the original number, the resulting number will be divisible by 9. If you repeat this process, eventually the digits will ALWAYS add up to 9 or a multiple of 9, until you reached the number 9 itself and could no longer subtract away a value.
I could go on all the way down to 9, but as you can see, the added values keep switching back and forth between 9 and 18, and every single number is wholly divisible by 9.
This property is specifically due to the fact that we count by base 10. Each time you subtract, you remove one of the integers multiplied by 10. That is to say, the number 37 isn’t 30 + 7, it’s really 3+3+3+3+3+3+3+3+3+3+7 (ten 3s and a 7). By removing one of the 3s, you now only have 9, and thus, 9 remains a fixed point on the number line.
Brouwer’s Theorem doesn’t just apply to numbers, but to any closed system without holes. If you stir your coffee, no matter how you stir it, there will ALWAYS be one point that NEVER leaves it’s original position. A fixed point. No matter how you translate, scale, or twist a closed system without holes, without fail, exactly one point will NEVER change.