ABSTRACT
As simple as it may seem at first glance, trying to decide whether the universe we live in is discrete or continuous has resulted in thousands of years of debate, and a winner cannot yet be conclusively determined. If something can be broken into smaller and smaller pieces forever, that is, if it is infinitely divisible, then we say it is continuous. The real number line is an example. No matter how small of an interval one's wish to take, it can be split into even smaller intervals. By contrast, anything that is not infinitely divisible is said to be discrete. One argument from the continuous side considers the length of an indivisible piece of matter. If matter is not infinitely divisible, then the length will be greater than zero. Considered from the middle, this piece can be said to have a left side and a right side, but this offers a division!.
