On Tuesday, October 30, 2018 at 12:38:16 PM UTC, [email protected] wrote: > > > > On Monday, October 29, 2018 at 10:15:28 PM UTC, John Clark wrote: >> >> >> On Mon, Oct 29, 2018 at 5:21 PM <[email protected]> wrote: >> >> >*If you try to traverse a unit distance in infinite steps such as 1/2, >>> 1/4, 1/8, 1/16 and so forth, the sum converges to 1, but you will never >>> traverse the distance even though the sum converges.* >> >> >> Never? If what you say is true then calculus is wrong. I don't think >> calculus is wrong. >> >> John K Clark >> > > *Nothing wrong with calculus. Rather, 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 even though the > spatial sum converges, allegedly showing that motion is impossible. The > solution is the recognition that space and time are not infinitely > divisible. AG* >
*Minor correction; the solution is that space (not space and time) is not infinitely divisible. AG * > > >> >> >> >> >>> >>> -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
