On Monday, October 29, 2018 at 5:15:28 PM UTC-5, John Clark wrote: > > > On Mon, Oct 29, 2018 at 5:21 PM <agrays...@gmail.com <javascript:>> wrote: > > >*If you try to traverse a unit distance in infinite steps such as 1/2, >> 1/4, 1/8, 1/16 and so forth, the sum converges to 1, but you will never >> traverse the distance even though the sum converges.* > > > Never? If what you say is true then calculus is wrong. I don't think > calculus is wrong. > > John K Clark > > > >
To a mathematical *ultrafinitist* [ https://en.wikipedia.org/wiki/Ultrafinitism ], the standard calculus is wrong. One can salvage some version of standard calculus, but a lot of care is needed to never define any process that assumes a completed infinite number of steps. - 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.
