Maybe the concept of a supertask is what is being misplaced here. 0 is your starting point, now all I need is the end point, let's pick 1. Net change on a straight line is 1. — Jeremiah
Does this show that no matter how fast you go, counting integers takes an infinite amount of time — Srap Tasmaner
If that is a supertask it should be impossible for me to cross the room, but I can prove empirically that I am able to cross the room, hence motion is not a supertask or supertasks are not impossible. — Jeremiah
Who cares if I can count an infinite number of points or not, I don't need to I have calculus. — Jeremiah
And given that completing a supertask is demonstrably impossible, it must be that motion isn't a supertask — Michael
It must mean motion is not a supertask OR supertasks are not impossible. — Jeremiah
we know there are infinite parts — Jeremiah
That is the different between a convergent series and a divergent series. We know the distance between Achilles and the turtle converges to a finite number, so you are kind of arguing a moot point. — Jeremiah
P1. Zeno's paradox shows that either motion is not a supertask or supertasks are possible.
P2. Thomson's lamp shows that supertasks are not possible.
C. Therefore, motion is not a supertask. — Michael
If the laws of physics tell us that Achilles will cross an uncountably infinite number of points in a finite time to catch the tortoise, then that is what he will do. — tom
As for discrete rather than continuous space, see quantum spacetime, loop quantum gravity, and [url=]strign theory[/url]. — Michael
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