Date: Jan 1, 2013 8:00 PM
Author: Paul A. Tanner III
Subject: Re: A Point on Understanding

On Tue, Jan 1, 2013 at 6:40 PM, Louis Talman <talmanl@gmail.com> wrote:
> On Tue, 01 Jan 2013 13:28:22 -0700, Joe Niederberger
> <niederberger@comcast.net> 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.

And what what I wrote in

"Re: A Point on Understanding"
http://mathforum.org/kb/message.jspa?messageID=7948471

is relevant here.