On Monday, October 29, 2018 at 4:07:41 PM UTC, John Clark wrote: > > On Sun, Oct 28, 2018 at 2:56 PM <agrays...@gmail.com <javascript:>> 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; >
*I think you meant to write "infinite". In any event, Bruno claims in a subsequent post that the Greeks knew that an infinite series CAN converge.What is your evidence that Zeno didn't believe this? I stated my view of Zeno's paradox and its solution. AG* > 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 > > > > > > -- 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.
