(September 19, 2012 at 4:02 am)Dumac Dwarfking Wrote:(September 19, 2012 at 3:36 am)FallentoReason Wrote: You can keep slicing infinitely. Think of a line segment from 0 to 1. Chop that in half. Now we have 0 to 0.5. Chop that in half. Now we have 0 to 0.25.....now we have 0 to 0.000000000001. Chop that in half ad infinitum.
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.
"It is the mark of an educated mind to be able to entertain a thought without accepting it" ~ Aristotle
