On Tue, 01 Jan 2013 13:28:22 -0700, Joe Niederberger <email@example.com> wrote:
> Your wrongness has to do with your view that one perspective exhausts > the subject. You do not have a hairy body because you are mammal, though > some people easily fall into the trap of thinking that way. Addition and > multiplication on N thru C are not what they are because those things > are classified with many disparate algebraic sructures as ringoids, > either. 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.
- --Lou Talman Department of Mathematical & Computer Sciences Metropolitan State University of Denver