On 14 Okt., 09:06, Virgil <vir...@ligriv.com> wrote: > In article
> > You see it easily by the infinite square. Nobody disputes that it has > > infinite lines. > > WM disputes that infinite lines exist, so must be disputing that > infinite squares exist.
Nevertheless I can assume such squares to exist. Sometimes I assume, that there is a fraction = sqrt(2). Just few minutes ago I did so. And I do so about 10 times every year. > > And in at least one sense, no infinite square can exist because one part > of the requirements of being a square it that it must have 4 corner > points and the infinite analogue of a square cannot have any corners > points.
Nevertheless the limits of width and length can be calculated, if they exist. > > > If completed infinity would exist. > > Therefore we can exclude that possibility. > > And thus throw out all of the systems of arithmetic that require > infinite sets of numbers,
infinite yes, but not finished infinite.
> like the rings of integers, rationals and > reals, among others.
Not at all! But, above all, maintain calculus and the limit as a meaningful notion, independent of wishes and thoughts of certain persons.
