Zeno's Paradox and God's Infinite Knowledge

Originally posted by twhitehead
The apparent paradox is based on the assumption that space dimensions can be mapped directly to the real numberline which we dont know for sure (hence the talk about space being discrete or not). It is also (and this is more important) based on the imposibility of dividing infinity by infinity. However as calculus shows, it is not as imposible as it first ...[text shortened]... time. However if you have an infinite number of pieces of finite time to use then maybe you can!

Well it seems there is space and there is SPACE.
and there is time and there is TIME.
For instance, there are (of course completely unproven) theories going around that our universe is just a drop in an incredibly larger universe composed of drops just like our universe and drops anything but like our universe, all existing in quite a number of larger dimensions than we currently think of in our big 4.
The second thing is both time and space are looking like they are both quantized. If that is proven true, which I find likely, then it could be an indication of just such a thing, a simulation, because in a digital environment you have precisely that situation, everything digital is quantized on some basic level, like 1's and 0's in binary talk or 0's,1's and 2's in tertiary talk. The main thing to remember in the digital world is at some point there is nothning less than the lowest digit which is what seems to be talked about when they say time is quantized. If it turned out to be totally unquantized then it would be more like a fractal that can be chopped down further and further and never reach an end like trying to find the last digit of PI. If time and space is quantized then there would be in fact an end to PI in practical terms. Mathematically it can go on forever but in the real universe if time and space is quantized, there is a limit as to how far you can determine the actual value of PI from actually measuring it. So if it limits then it can theoretically be simulated perfectly by a digital system of some sort, not neccessarily binary.

Originally posted by sonhouse
Mathematically it can go on forever but in the real universe if time and space is quantized, there is a limit as to how far you can determine the actual value of PI from actually measuring it.

PI is a mathematical concept, a number defined in mathematics. It is related to the ratio of a perfect circle (in mathematics) to its radius. If space is quantized then the (apparent) circle is not a perfect circle and you are not measuring PI.