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

Topic: Mathematics in brief
Replies: 84   Last Post: Dec 11, 2012 3:23 AM

Advanced Search

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

Posts: 8,833
Registered: 1/6/11
Re: Mathematics in brief
Posted: Dec 9, 2012 5:00 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<ea02c482-ead0-48f6-99ce-681ea7b96360@f4g2000yqh.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 9 Dez., 10:41, Zuhair <zaljo...@gmail.com> wrote:
> > On Dec 9, 11:35 am, WM <mueck...@rz.fh-augsburg.de> wrote:> On 9 Dez.,
> > 05:55, Zuhair <zaljo...@gmail.com> wrote:
> >

> > > > You need to prove that the set of all paths is countable, and so far
> > > > you didn't present a proof of that.

> >
> > > The set of all finite paths is countable. Therefore it is not possible
> > > to define an infinite path by adding nodes to any finite path. All
> > > nodes to be added are already in finite paths. Therefore, by following
> > > the nodes of a path, you never define an infinite path. It is
> > > interesting that practically everybody not yet brainwashed can
> > > understand that.

> >
> > Every node is reachable by a finite path, that's correct. But that is
> > irrelevant
> > here, we are speaking here about the number of all "path"s in the
> > Binary Tree
> > and not about the number of all nodes. we know that the number of all
> > nodes
> > is countable, the question is: is the number of all paths (finite and
> > infinite)
> > is countable?

>
> So it has become obvious now, that is not possible to define "all
> paths" by nodes. Only the finite paths can be defined by their nodes.
> How can you define all paths if not by nodes?


One defines the set of all paths as the set of all functions from |N to
{m,w}. Then any function from |N to {m,w} is a path.
--




Date Subject Author
12/8/12
Read Mathematics in brief
Zaljohar@gmail.com
12/8/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/8/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/8/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/8/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
fom
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/8/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Charlie-Boo
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/10/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/10/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/10/12
Read Re: Mathematics in brief
Virgil
12/10/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/10/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/10/12
Read Re: Mathematics in brief
12/10/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/10/12
Read Re: Mathematics in brief
Virgil
12/10/12
Read Re: Mathematics in brief
Virgil
12/10/12
Read Re: Mathematics in brief
Virgil
12/10/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/10/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/10/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
ross.finlayson@gmail.com
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
Zaljohar@gmail.com
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/10/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/10/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
Virgil
12/8/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/8/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
Charlie-Boo
12/8/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/8/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/8/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil
12/10/12
Read Re: Mathematics in brief
Shmuel (Seymour J.) Metz
12/10/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/10/12
Read Re: Mathematics in brief
Virgil
12/11/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/11/12
Read Re: Mathematics in brief
Virgil
12/9/12
Read Re: Mathematics in brief
Charlie-Boo
12/9/12
Read Re: Mathematics in brief
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: Mathematics in brief
Virgil

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.