loops

Thought for the day:
I think this is probably a stupid observation or question, but it's kind of running in my head.

I was thinking about the song we used to sing, or rather that they used to sing at the end of every Lambchop episode (and man I did love Lambchop): "This is the song that never ends/ it goes on and on my friends/ some people started singing it not knowing what it was/ and they just kept on singing it just because/ this is the song that never ends/ it goes on and on my friends..."

And of course there are more conventional examples, like strange loops:
"The following statement is true: the previous statement was a lie." If the first statement is true, the second statement is true, so the first statement is false. If the first statement is false, the second statement is a lie, so the first statement is true. Repeat, repeat, repeat, repeat.... to infinity and beyond!

These are things that are infinitely looping that have a definite beginning. You progam them into your computer, hit run, and it never ends. There is input to a system but no output, because the system mechanisms are infinite.

So that's all well and good for a computer program, but my question is, can things that are infinite really have a beginning? It seems like they can at least in the terms that someone begins to sing the lambchop song one day, and he never stops, or someone writes up a program and presses run one day, and it never stops. Both depend on some starting action that happens on some arbitrary day in the scheme of things.

Say we have this universe that is governed by some force we call time that is based somehow on some arbitrary direction of entropy. So we are all created from nothingness with the universe's birth; somehow we're created from nothing, and we never end. So if we never end, and the universe is always changing, there are theoretically an infinite number of possible states for us. But what about the state that precluded our first state? How can we begin, suddenly, as a certain state, in a universe whose states are governed by fluctuations in previous states? It's like we drop out of the sky into an organized system, but that system cannot include our existence. And then what? Then our small minds can comprehend the workings of our infinite existences, and thus can comprehend infinite, but our small minds were created by something without the system, and thus cannot comprehend something, and thus either cannot comprehend infinity, or can only comprehend an infinite subset of infinity (yay Cantor).

I don't really know what I'm saying... I really should be thinking about organic chemistry and bonding orbitals, not the creation of an infinite system and the idea that infinity is not all encompassing. But alas.