Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Matheology § 223: AC and AMS
Replies: 102   Last Post: Apr 18, 2013 12:26 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Virgil

Posts: 7,014
Registered: 1/6/11
Re: Matheology � 223: AC and AMS
Posted: Mar 18, 2013 7:13 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<e52645e6-461d-4e0d-abcd-015f5494d381@h14g2000vbe.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> It is an impudence to write so much nonsense that has not the least
> relation to the topic and to expect that I read it.


WM, on the other hand also writes far more nonsense, but is often on his
own topic, if not on the one under discussion.






=========================================================================

WM has several times claimed that the standard bijection from the set of
all binary sequences to the set of all paths of a Complete Infinite
Binary Tree is a linear mapping from the set of all binary sequences
regarded as a linear space over |R to the set of all paths of a CIBT.

While the mapping is easily shown to be bijective, it fails to be a
linear mapping as WM describes it:

> The isomorphism is from |R,+,* to |R,+,*. Only in one case the
> elements of |R are written as binary sequences and the other time as
> paths of the Binary Tree. Virgil is simply too stupid to understand
> that.everal flaws in WM's claim that the identity map on induces a linear map on 2^|N.


WM's flaws in making that claim work include, but are not necessarily
limited to:

(1) not all members of |R will have any such binary expansions, only
those between 0 and 1, so that not all sums of vectors will "add up" to
be vectors within his alleged linear space, and

(2) some reals (the positive binary rationals strictly between 0 and 1)
will have two distinct and unequal-as-vectors representations, requiring
that some real numbers not be equal to themselves as a vectors, and

(3) WM's method does not provide for the negatives of any of the vectors
that he can form, so his "space" does not qualify as a linear space in
that way, either.

On the basis of the above problems, and possibly others as well that I
have not yet even thought of, I challenge WM's claim to have represented
the set |R as the set of all binary sequences, much less to have imbued
that set of all binary sequences with the structure of a real vector
space or the showed the identity mapping to be a linear mapping from one
vector space to another.


Note that while WM's model doe not achieve what he claims for it, there
is another model, which a reasonably competent mathematician should be
able to find, which does make the mapping into an isomorphism of linear
spaces.

It is a shame that someone so obviously of limited ability at
mathematics as WM should feel himself so driven to try and correct his
betters.
--




Date Subject Author
3/14/13
Read Re: Matheology § 223: AC and AMS
Alan Smaill
3/14/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/14/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/14/13
Read Re: Matheology § 223: AC and AMS
fom
3/14/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/14/13
Read Re: Matheology § 223: AC and AMS
fom
3/14/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/14/13
Read Re: Matheology § 223: AC and AMS
fom
3/15/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/15/13
Read Re: Matheology § 223: AC and AMS
fom
3/15/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/15/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/15/13
Read Re: Matheology § 223: AC and AMS
fom
3/16/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Matheology § 223: AC and AMS
fom
3/16/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Matheology § 223: AC and AMS
fom
3/16/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/17/13
Read Re: Matheology § 223: AC and AMS
fom
3/17/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/16/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/17/13
Read Re: Matheology § 223: AC and AMS
fom
3/17/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/17/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/17/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/17/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/19/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/19/13
Read Re: Matheology § 223: AC and AMS
fom
3/19/13
Read Re: Matheology § 223: AC and AMS
fom
3/19/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/19/13
Read Re: Matheology § 223: AC and AMS
fom
3/19/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/19/13
Read Re: Matheology § 223: AC and AMS
fom
3/19/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/19/13
Read Re: Matheology � 223: AC and AMS
Virgil
4/17/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/19/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/19/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/19/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/19/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/19/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/19/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/19/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/19/13
Read Re: Matheology § 223: AC and AMS
fom
4/17/13
Read Re: Matheology � 223: AC and AMS
Virgil
4/18/13
Read Re: Matheology § 223: AC and AMS
fom
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/18/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/17/13
Read Re: Matheology § 223: AC and AMS
Ralf Bader
3/16/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/16/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/17/13
Read Re: Matheology § 223: AC and AMS
fom
3/15/13
Read Re: Matheology § 223: AC and AMS
fom
3/16/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/15/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/15/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/15/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/15/13
Read Re: Matheology § 223: AC and AMS
fom
3/15/13
Read Re: Matheology § 223: AC and AMS
fom
3/15/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/15/13
Read Re: Matheology § 223: AC and AMS
fom
3/16/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/14/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/14/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/16/13
Read Re: Matheology § 223: AC and AMS
mueckenh@rz.fh-augsburg.de
3/16/13
Read Re: Matheology � 223: AC and AMS
Virgil
3/17/13
Read Re: Matheology § 223: AC and AMS
fom

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.