On Monday, October 29, 2018 at 7:36:47 PM UTC+1, Philip Thrift wrote: > > > > On Monday, October 29, 2018 at 11:07:41 AM UTC-5, John Clark wrote: >> >> On Sun, Oct 28, 2018 at 2:56 PM <[email protected]> wrote: >> >> > *What's your view of Zeno's paradox which implies motion is >>> impossible.* >> >> >> Zeno thought it was obvious if you added an infinite number of nonzero >> lengths or nonzero times together you would always get something that was >> nfinite, and that is the foundation of his paradox; but with modern >> calculus we know that sometimes that isn't true, and when it isn't true >> calculus can tell you exactly what the FINITE length or finite time >> interval turns out to be. For example, the sum, of the infinite series: >> 1+1/4+1/9+1/16+1/25 + 1/36 + .... 1/N^2 is EXACTLY equal to (PI^2)/6. >> >> John K Clark >> >> >> >> > It is still a paradox as discussed in foundational physics and > mathematical writing, when one leaves the naive calculus as taught in high > school or college. >
The calculus solution seems fine to me, what's the problem with it? Of course if space is discreet then you can solve the Zeno paradox without calculus. -- 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.
