Favorite Answer

That is not exactly correct. The number system is infinite in one dimension, as opposed to being infinite in 3 dimensions. I don;t remember this exactly, but I think one is called aleph null and the other has some other name. What you are referring to though I think is the math of set theory.

It is good to think about such things, but I don't know if you will find answers to this type of question easily here. Something like this is actually something you might want to write to a college math professor about. I know a lot of state college professors are quite willing to answer questions like this, either that or they hand them off to students like me to answer. (Though I'm not a math major) My whole mathematical modeling class has been asked to tutor in a local middle school for extra credit.

Another thing to keep in mind when you think about it is that the quantity of numbers between any two numbers in still infinite, whereas the quantity of space between two points in space is not infinite.

Numbers are excellent at modeling many things, space included, but don't let the math define your reality.

Engineers wonder why their equations don't match reality,

Physicists wonder why reality doesn't match their equations,

And Mathematicians don't care.