Is Space Infinitely Small and Large Without a Medium?

[nuby]

Hello,
Quick question. If space doesn't have, or consist of, an medium (ether?) would that mean space is infinitely small and large?

 

[russ_watters]

One does not imply the other, no.

 

[jtbell]

What do you mean by space being infinitely small and large?

 

[nuby]

By infinitely small, I meant, for example a cm^3 of space could be "cut" in half forever, without finding a medium or point of singularity. And the opposite: a cm^3 cube doubled forever without running out of space.

I was just wondering .. if you come to point where you can't divide space anymore, could that last point be considered a medium?

 

[HallsofIvy]

No, that's no what "medium" means here.

 

[nuby]

What do you call it?