Wednesday, September 29, 2010

Continuity isn't the only thing to be concerned about (Part 1)

It is starting to become noticeable. There are periods of time when I seem to be across a continuum. The linear self is beginning to take a backseat to the personhood that is in several places, if only mentally, at one time.

This is not a lot of fun, either. It becomes difficult to keep track of things. The only recourse is to focus in on one thing for as long as I can, at the expense of everything else, because there is just too much else. When I stop and look up, I can see it all around me, the different levels on which things work, the different responsibilities, the different personalities I am capable of wearing.

If all of this seems abstract and hard to visualize, that's because it is. An example: I find that posts I have never made are in my memory on some level as having been made. So I make them. It's sort of the reverse of Alzheimer's. It's as if my short term memory is not functioning on one, but a thousand things at once, and they all get compacted together. What I had for supper last night is lost behind where my keys are and the ten things on my incomplete to do list, and my need to journal my latest observations on continuity:

My latest observations on continuity: It is an illusion. Continuity is an idea that takes infinity and compresses it into every place you look. To assume that finite man could operate on a continuum is gross hubris. We, humans, are painfully discretized beings, only capable of a thin version of continuity. Indeed, we are so impressed with infinity, which is just continuity at the end of things.

We don't think about the mind-numbing case of infinity everywhere and all between. We blank it out. Discrete infinity is child's play next to this, but we get the two confused.

Consider: an infinite lifespan is to us just somewhere out there past our 100+- years, 101 is just as infinite as 1*10exp1000000 if we die at 99.

But continuity implies that every moment is infinite. Yes, it sounds like a trick, but what I'm talking about is the mathematical presence of divisibility completed, throughout one unit and the next. And physically, we are just not capable of that. Even though we work on the nanoscale now, for true continuity, we can just go on breaking things down forever. That is true continuity.It is an asymptote around every corner.

Is this the path that Georg Cantor traveled on his way to madness?

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