J
JDaniel
Guest
Sid, PLEASE. I asked for something REAL, not some silly mathematico/mental conceptio ad absurdum. I would love to see you cut up a minute such that its slices become so small that time becomes useless to us. In any event, all of it is still a Minute. It is not an exigency that either of us can hold in our hands. Remember, to a point, quantitative division may take place without changing the character of the thing divided. But, sooner or later, in the real world, the thing being divided is changed. If you divide a half glass of water in half, you will still get water. You can continue to do this for a while, but, ultimately you will get to a molecule. Upon dividing the molecule in half, you will no longer have water.Take a finite time interval of one minute.
It is composed of the following infinite sequence of time intervals:
0.5 minutes
0.25 minutes
0.125 minutes,
0.0625 minutes,
0.03125 minutes, etc.
Adding up the infinite series of intervals SUM (n=1 to infinity) (1/2^n) gives one minute.
A minute, by the way, is not a real thing. It is a conceptual measure of motion. I’d ask you to begin counting, by tens, if you prefer, and get back to me whenever you reach infinity - but, you wouldn’t do it. By the way, what number is infinity?
jd