Date: Nov 27, 2012 12:19 AM
Author: ross.finlayson@gmail.com
Subject: Re: Cantor's first proof in DETAILS

On Nov 26, 12:03 pm, Virgil <vir...@ligriv.com> wrote:
> In article
> <ba2d403e-154a-46d2-9fc9-6e5ae92ed...@vy11g2000pbb.googlegroups.com>,
>  "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:
>
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> > On Nov 25, 11:22 pm, Virgil <vir...@ligriv.com> wrote:
> > > In article
> > > <be566287-1de6-426b-a9d8-420bb9279...@n2g2000pbp.googlegroups.com>,
> > > "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:

>
> > > > EF is simple and it's defined simply as a function, not-a-real-
> > > > function, standardly modeled by real functions. Dirac's delta and
> > > > Heaviside's are as so defined, as functions, not-real-functions,
> > > > standardly modeled by real functions. And, the definition of function
> > > > itself, here is modern and reflects over time the development of the
> > > > definition of what is a mathematical function. Then, in actually
> > > > extending the definition of what are the real numbers, in A theory, it
> > > > is directly defined, and applied.

>
> > > > There are hundreds of essays on it here.
>
> > > Then give a reference to some of them, preferably by someone other than
> > > yourself.

>
> > > In particular we need a mathematically satisfactorily definition of your
> > > alleged EF, again preferably by someone other than yourself, which will
> > > take it out of the realm of mythology.
> > > --

>
> > I wrote all that.
>
> Did you?
>
> I certainly do not ever recall seeing your alleged EF adequately
> presented, and see now no references to where one might see it
> presented, whether adequately or not.
>
> And if you still will not provide a reference to it, a url, or something
> through which anyone can access it to see it for him or her self, it is
> as if no such thing ever existed.
>
> Which in the absence of any evidence to the contrary, I will continue to
> assume.
> --


http://mathforum.org/kb/search!execute.jspa?forumID=13&objID=f13&forceEmptySearch=true&q=%22Equivalency+Function%22
at least hundreds of results

http://mathforum.org/kb/message.jspa?messageID=7888348 "Cantor-
Finlayson theory"

http://groups.google.com/group/sci.math/msg/af29323d694cf89e 1999 -
"Equivalency Function"

http://groups.google.com/group/sci.math/msg/ccb0941dc3421afd perhaps
the first mention

Do you know the old saw about "assume"?

My friends, or as I would so address you, the definition of EF is
written in some few lines: constantly monotonically increasing from
zero through one.

Regards,

Ross Finlayson