> On Tuesday, October 30, 2018 at 7:44:35 AM UTC-5, agrays...@gmail.com
wrote:

you can think of Zeno's paradox as an infinite sequence of tasks, each one
> separated by a finite fixed pause. The complete task cannot be completed in
> finite time


Then all Zeno did was show you shouldn't think of motion like that. There
can NOT be a infinite number of fixed pauses after each micro-task, but
there CAN be a infinite number of variable pauses in which each pause is
half the length of the previous pause.


> *> Minor correction; the solution is that space (not space and time) is
> not infinitely divisible. AG*


You can't treat time and space as unrelated things like that. If the Planck
Length is the smallest possible length (a big if) then the Planck Time of
5.4*10^-43 seconds is the smallest possible amount of time, it is the
amount of time it takes light to travel the Planck length.

  John K Clark







>
>>
>>>>>
>
>
>
> As has been stated many times in philosophy of science writing, the
> quantum solution is indeed the best resolution of Zen'o's Paradox (ZP) so
> far.
>
>
> The other approach, where in reality there are smooth continua, requires
> cohesive entities:
>
> https://ncatlab.org/nlab/show/cohesive+topos
>
> That is a bigger pill to swallow.
>
>
> - pt
>
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