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: Matheology § 154: Consistency Proof!
Replies: 101   Last Post: Nov 25, 2012 5:08 PM

Advanced Search

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

Posts: 1,815
Registered: 12/7/10
Re: Matheology § 154: Consistency Proof!
Posted: Nov 22, 2012 4:38 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Nov 22, 5:22 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> On 22 Nov., 22:09, William Hughes <wpihug...@gmail.com> wrote:
>
>
>
>
>
>
>
>
>

> > On Nov 22, 4:54 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> > > On 22 Nov., 20:22, William Hughes <wpihug...@gmail.com> wrote:
>
> > > > Note that I was able to handle your
> > > > "simple" case using induction.

>
> > > > I consider the following case easy.
> > > > If you disagree maybe you can say
> > > > why?

>
> > > > Consider the sequence of real numbers
>
> > > > 1.0
> > > > 10.0
> > > > 100.0
> > > > ...

>
> > > > The limit is oo (unbounded)
>
> > > > According to set theory, the number of 1's in the limit
> > > > is 0.  (The limit of the set of positions at which we
> > > > have a 1 is the empty set).

>
> > > Why should the 1 disappear completely?
>
> > The limit of the set of positions at which we
> > have a 1 is the empty set.  If there is a 1 it has to
> > be a one without a position.

>
> Iff infinity can be finished.


Nope. We can establish that each integer
has the property that it is not the index
of a position with a 1 without using
completed infinity.

P(n): n is not the index of a position with a 1.

P(1) is true.
If P(n) is true then P(n+1) is true.

For each natural number n, P(n) is true.



Date Subject Author
11/18/12
Read Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/18/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/18/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/18/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/19/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/19/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/19/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/20/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/20/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/21/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/21/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/22/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
William Hughes
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/24/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/24/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/24/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/24/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/25/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/25/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/25/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/25/12
Read Re: WMatheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/23/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/23/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/21/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/19/12
Read Re: Matheology � 154: Consistency Proof!
Vurgil
11/20/12
Read Re: Matheology § 154: Consistency Proof!
mueckenh@rz.fh-augsburg.de
11/20/12
Read Re: Matheology � 154: Consistency Proof!
Virgil
11/22/12
Read Re: Matheology § 154: Consistency Proof!
David Valdez

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.