[ryanatau]

The problem is that when we say something is infinitely divisible we are saying we can always decrease the volume of an object to as little ass we please. However, we cannot, in actuality, make it zero. We say the 1/x as x goes to inf is zero only because we can make it as close to zero as we please. However, it never actually becomes zero. It is like when there is a hole in a function for example (x)/(x-1) has a hole at 1 but the limit as x goes to one still exists. Not because the function exists at 1 but because I can make it as close to one as I please.

Therefore, I can make an object as close to zero volume as I want by dividing it but I cannot make it actually zero. Then does it follows from my logic that infinite series never converge? No, because as the series approaches infinity it approaches convergence.

Also, it makes not sense to say a number is divided by infinity because infinity is not a number.

So then matter, though infinitely divisible, never becomes nothing. In fact, if you look into the work of Zeno you'll see he comes to the same conclusion. The purpose of his paradoxes was to show that change is an illusion and the world of sense-perception is useless (he was a student of Parmenides). (By change being an illusion of sense-perception Zeno and Parmenides mean that there are only two states being and non-being; since being cannot become non-being and non-being cannot become being; there is no becoming and thus no flux or change.)