Date: Nov 27, 2012 12:19 AM
Subject: Re: Cantor's first proof in DETAILS
On Nov 26, 12:03 pm, Virgil <vir...@ligriv.com> wrote:
> In article
> "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:
> > 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
at least hundreds of results
http://groups.google.com/group/sci.math/msg/af29323d694cf89e 1999 -
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.