On Tuesday, October 30, 2018 at 5:30:51 PM UTC, John Clark wrote: > > > > On Tue, Oct 30, 2018 at 12:29 PM Philip Thrift <cloud...@gmail.com > <javascript:>> wrote: > > > *> By the word "approximation" above in reference to what is being >> approximating seems to assume that the natural world itself - the >> materials out of which the bridge or airplane is made, the air, the >> bedrock, the whole constructions and environment - are continuous and >> differentiable in the mathematical sense of standard calculus. But why >> would one assume that the world is in reality that?* > > > I don't assume that. What I'm saying is that if things are continuous then > Zeno's paradox is not a paradox and if things are discrete and not > continuous then Zeno's paradox is still not a paradox. In other words Zeno > is of no help whatsoever. > > John K Clark >
*You miss the point. If the task is done in discrete steps as I described, which is apriori conceivable, motion is impossible. So, since motion surely seems demonstrable, why can't the task be done as I described? Answer; because space isn't infinitely divisible. If you check Wiki on Zeno Paradox and review the solutions offered through history, Henri Bergson came to the same conclusion I have offered, but he didn't extend it far enough. AG* > >> That would assume a mathematical reality a la Tegmark (which he himself >> doesn't believe). >> >> - 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-li...@googlegroups.com <javascript:>. >> To post to this group, send email to everyth...@googlegroups.com >> <javascript:>. >> Visit this group at https://groups.google.com/group/everything-list. >> For more options, visit https://groups.google.com/d/optout. >> > -- 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.