On Monday, October 29, 2018 at 4:07:41 PM UTC, John Clark wrote: > > On Sun, Oct 28, 2018 at 2:56 PM <[email protected] <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 [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.
