(February 13, 2016 at 10:30 am)Excited Penguin Wrote:(February 13, 2016 at 10:25 am)Brian37 Wrote: I think you missed my point. Again, why cant it be both infinite and finite? You can literally draw a finite line on a piece of paper and have an infinite number of decimal places within that finite line.
AGAIN, although we don't know right now either way, my guess OFF is not infinite and On is not infinite, but going from off to on back to of to on.......could be infinite.
That's not exactly infinity. That's still a finite thing you're talking about. It's only infinite mathematically(or theoretically), but not really. Real infinity would simply mean that you could go in one direction forever, without ever having to stop or going in circles.
You can't have both infinite and finite space. That's absurd. How do you even imagine such a thing?
What OFF and what ON. What the hell are you talking about.
What is wrong with viewing all this like a light switch? Or up and down or in and out? Off "seemingly nothing prior to the singularity, then a buildup then the big bang to the "On" we see now, which will run out of fuel like a car does.
YES YOU CAN ............ You can have an infinite number of decimal places between numbers without actually reaching them.
.1 ------- .01-----------.001 .0001 .00001 .000001 .0000001 .0000000000000000000000000000000000000000000001
.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
Now keep moving that to the right as far back as you wish, try to fill those in, you get to 1. but between 1 and 2 you can do the same thing, between 2 and 3 you can do the same thing, between 3 and 4 you can do the same thing.
You are thinking about the difference between classical big numbers in a classroom. QM deals with the MASSIVE AMOUNTS OF POINTS BETWEEN POINT A AND POINT B. those decimal places can go on foreveer
You DO have an infinite amount of points on a finite line.
https://en.wikipedia.org/wiki/Infinity
Quote:For example, the set of integers is countably infinite, while the infinite set of real numbers is .
Or
https://www.quora.com/How-is-it-possible-to-have-infinite-points-between-two-finite-limits