On Cubic Regressions

This math portfolio has made me think about math - go figure.

I would like to talk about infinity.

I hate infinity.

Examine for a moment, the following situation:

A turtle leaves point A when the race starts. He is inevitably headed for point B. In order to reach point B, it is a safe assumption that the turtle must eventually cross the center point, and getting there will take some time.
That being said, we can also assume that the turtle must pass the one quarter mark, also taking time. Indeed, we can say that there are an infinity dividable set of halves, all which we must pass, and all which take time to pass.

Time x infinity = infinite time. Therefore, it takes an infinite time to move anywhere; ergo, nothing moves.

This is why I hate the concept of infinity. It is not well enough defined to be useful in practical situations. The above situation for example is solved by assuming that space/time is in fact, not infinitesimally dividable - meaning that eventually the halves stop accumulating. According to math though... WE DO NOT MOVE.

I hate infinity.

Another situation: I measure out a seven millimeter section of tape, whereas James measures seven feet. Our deep voiced math teacher asks which has a greater number of points. Well... between any distances, there is an infinite number of unique points. Therefore, there are the same number of points on a seven millimeter section as a seven foot section, or even a seven mile section - infinity. Infinity has no quantifiable characteristic of comparison. I claim that by this logic, all distance is the same.

I hate infinity.

Only obscure, unprovable physics can refute these statements. That, or you could just blindly deny the fact that distance does not exist and we can not move. Wait --- we can.

I hate infinity.