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That tense feeling.

Is it possible to find the rules of a system, given infinite amount of observation time of the system?

I’m going to try to summarize my thought process that ended with that question.

I was walking back from class down the main pathway to most of the school buildings. It gets quite busy at times, and i was walking on the grass instead of the pavement, because if you walk on the grass, no one will be in your way. Before i went on the grass i was thinking to myself, “Who will change their path in order not to collide with me, and who will I change my path for”. While I was pondering this i nearly ran into someone, thus i moved onto the grass where no one else was.

Then I started watching people.

I noted which people changed their path *(or at least to me, which people changed their path) and so on and so forth. And then i realized how absolutely mind boggingly difficult it would be for me to figure out the rules of the pathway system. But i also realized it would be possible for me to figure out the system, given enough time, and enough unique sets of data.

Basically, i would be able to see when some people moved and when some people didn’t, and extrapolate from there a set of rules that defined the pathway system. The problem with this extrapolation is that it is based off of the individuals present within the system that follow their own rules for movement.

In “The Game of Life” the rules are defined for the system, but individuals don’t have differing rules. All individuals follow the same rules, which are the system rules. Every individual has exactly the same decision tree. Therefore finding the rules for the game of life system can be based solely off of observation alone.

But is “observation alone” enough to figure out the rules for any system?

I think it is. At least, given an infinite amount of observation it would be. Philosophically others might disagree.

Im leaving that train of thought for another.

Is it possible to be unique in a data set of infinite size?

No.

Is there a difference between possibility and reality?

Yes.

Bwahahaha! My brain is dumb.

What is the range of the function y=(1/(x-1)) ?

(-infinite, 1) U (1, infinite)

So basically, every single number in existence can be applied to the function except for 1. So one number out infinite does not work.

1/infinite

Isn’t this zero?

…

Nevermind. I just realized that i could never actually explain to anyone what I’m thinking. I can never make you understand what i actually mean. I will never be able to show you the light. The best i can do is help you discover a light of your own.

Sigh.

I need to be a teacher.