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Topic: Cantor's first proof in DETAILS
Replies: 85   Last Post: Dec 10, 2012 7:23 AM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Cantor's first proof in DETAILS
Posted: Nov 27, 2012 2:34 PM

In article
"Ross A. Finlayson" <ross.finlayson@gmail.com> wrote:

> On Nov 26, 11:33 pm, Virgil <vir...@ligriv.com> wrote:
> > In article
> >  "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:
> >
> >
> >
> >
> >
> >
> >
> >
> >

> > > 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
> > > > assume.
> > > > --

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

> >
> > Not one of which posts contains an original definition of what the
> > alleged "equivalency function" actually is, only a lot of crap by Ross
> > about how it is the greatest things since sliced bread.
> >
> >
> > I find a citation from r 9/22/99 In which Ross states, what may well be
> > Ross' original "definition" of his alleged "Equivalency Function" which
> > as any mathematician can plainly see is not a function at all, and is
> > only equivalent to nonsense::
> >
> > " Consider the function
> > f(x, d)= x/d
> > for x and d in N. The domain of x is N from zero to d and the domain of
> > d is N as d goes to
> > infinity, d being greater than or equal to one.
> > I term this the Equivalency Function, and note it EF(x,d), also EF(x),
> > assuming d goes to
> > infinity."
> >
> > "Equivalency Function"
> >
> >
> >

> > > 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.

> >
> > Anyone who would call that mess a function, when it is either two
> > separate functions or infinitely many depending on which part of the
> > "definition" one is reading, is no mathematician.
> >
> > Ant the only thing it demonstrates is Ross' total inability to think
> > mathematically.
> >
> > I do not find any area of mathematics which would not be improved by its
> > total absence.
> >
> >

>
> I have a mathematics degree

I have three of them, so what?

Your EF is, at least as so far presented, of no mathematical interest or
impotance whatsoever.
--

Date Subject Author
11/25/12 ross.finlayson@gmail.com
11/25/12 Virgil
11/25/12 ross.finlayson@gmail.com
11/25/12 Graham Cooper
11/25/12 ross.finlayson@gmail.com
11/25/12 Virgil
11/25/12 ross.finlayson@gmail.com
11/26/12 Virgil
11/26/12 ross.finlayson@gmail.com
11/26/12 Virgil
11/26/12 ross.finlayson@gmail.com
11/26/12 Virgil
11/27/12 ross.finlayson@gmail.com
11/27/12 Virgil
11/27/12 ross.finlayson@gmail.com
11/27/12 Virgil
11/27/12 ross.finlayson@gmail.com
11/28/12 Virgil
11/28/12 ross.finlayson@gmail.com
11/28/12 Virgil
11/28/12 ross.finlayson@gmail.com
11/28/12 Virgil
11/29/12 ross.finlayson@gmail.com
11/29/12 Virgil
11/29/12 ross.finlayson@gmail.com
11/30/12 Virgil
11/30/12 FredJeffries@gmail.com
11/30/12 ross.finlayson@gmail.com
11/30/12 FredJeffries@gmail.com
11/30/12 ross.finlayson@gmail.com
12/1/12 Virgil
11/30/12 ross.finlayson@gmail.com
12/1/12 Virgil
12/1/12 ross.finlayson@gmail.com
12/1/12 Virgil
12/1/12 FredJeffries@gmail.com
12/1/12 ross.finlayson@gmail.com
12/1/12 Virgil
12/2/12 ross.finlayson@gmail.com
12/2/12 Virgil
12/2/12 ross.finlayson@gmail.com
12/2/12 Virgil
12/3/12 ross.finlayson@gmail.com
12/3/12 Virgil
12/3/12 Virgil
12/3/12 ross.finlayson@gmail.com
12/3/12 Virgil
12/3/12 ross.finlayson@gmail.com
12/4/12 Virgil
12/4/12 ross.finlayson@gmail.com
12/4/12 Virgil
12/4/12 ross.finlayson@gmail.com
12/4/12 ross.finlayson@gmail.com
12/4/12 Virgil
12/4/12 Virgil
12/4/12 Virgil
12/5/12 ross.finlayson@gmail.com
12/6/12 Virgil
12/7/12 ross.finlayson@gmail.com
12/7/12 Virgil
12/8/12 ross.finlayson@gmail.com
12/9/12 Virgil
12/9/12 ross.finlayson@gmail.com
12/9/12 Virgil
12/9/12 ross.finlayson@gmail.com
12/9/12 ross.finlayson@gmail.com
12/9/12 Virgil
12/9/12 ross.finlayson@gmail.com
12/9/12 Virgil
12/9/12 ross.finlayson@gmail.com
12/9/12 Virgil
12/9/12 ross.finlayson@gmail.com
12/10/12 Virgil
12/10/12
12/4/12 Virgil
12/5/12 ross.finlayson@gmail.com
12/5/12 Virgil
11/30/12 Virgil
11/25/12 Graham Cooper
11/25/12 Virgil
11/25/12 ross.finlayson@gmail.com
11/25/12 Virgil