On Thursday, November 1, 2018 at 12:47:09 PM UTC-5, John Clark wrote: > > On Thu, Nov 1, 2018 at 8:18 AM <agrays...@gmail.com <javascript:>> wrote: > > *> motion can't be done in finite steps* > > > It can if Spacetime is granular, and even if it's not and Spacetime is > continuous motion is still possible and Calculus tells us how. But Zeno can > not tell us which of these explanations is correct and so joins the ranks > of all the other ancient Greeks who are of absolutely no help in solving > modern cutting edge scientific, mathematical or philosophical problems. > > John K Clark >
Even if spacetime is "continuous", what motion is *in reality* is not resolved by a Cauchy-type of (ε, δ)-definition of limit [ https://en.wikipedia.org/wiki/(%CE%B5,_%CE%B4)-definition_of_limit ]. Zeno's paradox is still fundamentally problematic in the real world. The foundations of mathematics itself with respect to physics is in question, hence cohesive homotopy type theory. The fact that calculus works where it is applied successfully is a pragmatic outcome, not a proof that Platonic mathematics is actual reality itself. - pt > -- 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 everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at https://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
