sci.math Google Group

Re: planet earth is the entire universe

2008-11-20T08:59:21Z

Why not just imagine that you are the only one that exists,
and all of us are your dream? Isn't that easier?

Re: The MathWorks customers, beware. The dynamics of disappearance of our bug report from mathworks.com

2008-11-20T08:55:11Z

DPB> The worse problem is that as Vince says, you post
DPD> complaints as self-serving advertising and a beligerent
DPB> and demeaning attitude
The defects, the attitude. :)
DPB> and w/o the requisite supporting information to the user
DPB> of the _precise_ steps required to reproduce the problem.

Re: Absolute Continuity

2008-11-20T08:38:57Z

You know that I know that THE set of rationals does not exist.
All rationals do exist but they simply do not form a set.
Han de Bruijn

Re: Absolute Continuity

2008-11-20T08:34:31Z

Not true. Implement + switch to extended precision and you're done.
Han de Bruijn

Re: Absolute beginning

2008-11-20T08:33:02Z

Not really. As with anywhere, getting to the gate is 95% of the effort.

Re: Absolute Continuity

2008-11-20T08:32:16Z

Apart from an infinitesimal error; the rationals are _almost_ the reals.
Han de Bruijn

Re: Absolute Continuity

2008-11-20T08:30:09Z

Suppose a real is something that changes. Who cares ? And if people say
there is an infinitesimal distance between two subsequent reals ..
Han de Bruijn

Re: Absolute Continuity

2008-11-20T08:25:57Z

As far as I can see (on the Internet) this involves integers, not reals.
Please correct me if I'm wrong.
Yes. Numerical mathematics "suffers" from "errors". What you don't see
plus don't want is that these "errors" are already there in theoretical
mathematics as well, infinitesimally. But ah, you shall deem the latter

Re: A consideration concerning the diagonal argument of G. Cantor

2008-11-20T08:15:26Z

Not a great question. Just an incredible time lag of nowadays science.
Okay. It cannot be repeated enough that Continuous and Discrete are just
two ways of looking at the _same_ thing. There are continuous as well as
discrete models of e.g. an ideal gas. Both are equally valid, consistent
with each other. It depends on your objectives which of the two you are

Re: Deep variable factoring method

2008-11-20T08:11:47Z

He's not that "perfect".

Re: Why "meta diagonals" are irrelevant

2008-11-20T08:09:25Z

Unless you can unanimously understand what it means to distinguish
elements, you are not able to discuss topics of set theory. You know:
A set is an assembly of well distinguishable elements, according to
Cantor.
But I see that you want to play your usual tricks in order to escape a
serious discussion. I am tired of that.

Re: Why "meta diagonals" are irrelevant

2008-11-20T08:04:42Z

It is potential infinity, that is always finite but not limited -
unlimited, so to say.
"Uncountable" is only a logical fallacy, it has nothing to do with
quantities.
The finite set of all anti-diagonals that ever are constructed is
uncountably, for instance.
Regards, WM

Re: Why "meta diagonals" are irrelevant

2008-11-20T08:01:16Z

Explain it in terms of the possibility to draw a path with pencil and
paper.
There is an edge connecting preserving continuity.
Discontinuities of 1 can be tolerated. Call that being quasi-
continuous.
As usual, you have understood nothing.
Regards, WM

Re: Factoring question

2008-11-20T07:41:12Z

William Elliot <ma...@rdrop.remove.com> wrote in
I don't think it takes telepathy to understand the question,
unless I have yet another super power of which I was unaware.
Note that n - phi(n) = p+q-1. So that p+q = n-phi(n) +1.
From (p-q)^2 = (p+q)^2 - 4 pq, we get p-q = sqrt( (p+q)^2 - 4n).
We have all the values on the rhs of these equation, so solve

Re: Why "meta diagonals" are irrelevant

2008-11-20T07:38:30Z

You can formulate and prove in ZF the statement
that ZF has a countable model? That is quite an
interesting point.
If you look at the binary tree, it is rather a
tangible object. If you want, you can draw it up in
entirety. Each node has a number from which you can
calculate and assign it a pair of position coordinates.