by ProjektTHOR on Fri May 21, 2010 3:46 am
([msg=38865]see Re: Quarks[/msg])
That's a pretty serious fallacy in logic. Where did you hear that analogy? Yes, there are infinite discrete halfway points on a journey from points A to B, but the problem with your argument is that there is a definitive. measurable beginning and end in terms of the time and space the runner is existing and the runner hopes to go.
Speed and velocity being constant, your argument will never stand up by itself. Now if you halved the speed and velocity at each halfway point, then your point becomes a little more valid (albeit significantly less impactful).
And that's not even getting into mathematics. The halfway point of a 100m run is 50m. There are not halfway points at 50, 25, 12.5, 6.25, 3.125, etc. By virtue of being "half" there can only be "two" portions. If you arbitrarily begin further halving the halves, you end up with quarters, eighths, sixteens, et al. So the biggest fallacy is that you are not creating multiple halves of the same distance. You are constantly halving the remainder, creating the illusion of infinite halving.