(September 19, 2012 at 4:07 am)FallentoReason Wrote:(September 19, 2012 at 4:02 am)Dumac Dwarfking Wrote: I understand that mathematically you can keep slicing indefinitely, but in reality would it be plausible? Or would you reach a point where it could no longer be sliced as the pieces would be to small?
Mathematically, you can. Think of the smallest particle known to us. It has a width. Now take that distance and slice it in half.
You can just keep zooming in on your new line segment and slicing in half forever. I can't really think of anything that wouldn't let you 'zoom in' and slice again. Such is the nature of distances.
I see what you're saying, it's just something I struggle to grasp (puny brain). As far as I'm aware, infinity as a concept is not something that has been observed or proven.