On Tue, Jan 1, 2013 at 6:40 PM, Louis Talman <firstname.lastname@example.org> wrote: > On Tue, 01 Jan 2013 13:28:22 -0700, Joe Niederberger > <email@example.com> wrote: ... >> Ringoid theory will tell you many things about those structures, but not >> everything about some particular structure. > > > This is especially so since ringoids were not invented to explain things > about the integers, the rationals, or the reals, but to isolate some of > their properties for further study. > > In so doing, he reverses what there is to find of causality in the > situation. >
Development over time does not necessarily reflect the logical order or otherwise logical structure of things. To think so is a mistake.