On Wednesday, November 8, 2017 at 8:51:45 AM UTC+1, John Gabriel wrote: > On Tuesday, 7 November 2017 21:22:31 UTC-5, Me wrote: > > > > Moreover you are using the notion of limit in disguise when stating > > "As n -> oo the sum of the columns becomes ..." etc. > > > Your birdbrain is brainwashed to think of limit, but the idea of LUB was > around long before limit and calculus.
Of *WHAT*?! LUB, the /least upper bound/?
Holy shit! You know, the _LUB property_ holds *in the context of real numbers* - but not in the context of the rational numbers. (Hint: That's why each and every Cauchy sequence has a limit.)