Re: Paths
- From: William Hughes <wpihughes@xxxxxxxxxxx>
- Date: Thu, 07 Jun 2007 05:24:23 -0700
On Jun 7, 3:51 am, WM <mueck...@xxxxxxxxxxxxxxxxx> wrote:
On 6 Jun., 17:47, William Hughes <wpihug...@xxxxxxxxxxx> wrote:
On Jun 6, 4:54 am, WM <mueck...@xxxxxxxxxxxxxxxxx> wrote:
<snip>
Why is the poor tree, as it seems being the only infinite entity in
the universe, excepted from incorporating omega?
Many infinite entities do not contain omega.
For a set to have an infinite number of elements
does not mean it has element omega. Take for instance the
set of all finite natural numbers. This set contains an infinite
number of elements but does not contain omega.
There is one level of the tree for each natural
Take for instance the infinite binary tree with omega + 3 levels.
As usual, when you don't have an answer you try to change the subject.
We are not discussing the infinite binary tree with omega + 3 levels.
We are discussing the union of all finite trees. This tree
has no last level and does not have a level omega.
You are still stuck on
Set X has an infinite number of elements.
Look! Over There! A Pink Elephant!
Set X has an infinite element.
- William Hughes
.
- References:
- Prev by Date: Re: Proof of Dirichlet's Test for convergence of given integral
- Next by Date: Re: Dedekind Cuts, Fundamental Sequences: why?
- Previous by thread: Re: Paths
- Next by thread: Re: Paths
- Index(es):
Relevant Pages
|
