Search All of the Math Forum:

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

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Set Theory: Should you believe?
Replies: 778   Last Post: Aug 8, 2006 12:02 PM

 Search Thread: Advanced Search

 Messages: [ Previous | Next ]
 Jack Markan Posts: 6,964 Registered: 2/26/05
Re: Set Theory: Should you believe?
Posted: Jul 18, 2006 6:21 PM
 Plain Text Reply

Lester Zick wrote:
> Well, Moe, it's not the truth of theorems which concerns me but the
> truth and demonstration of axioms. If you want to assume geometric
> objects as auxilliary notions within set theory definitions for
> circles go ahead. Just don't try to tell me they define anything with
> set theory.

I have no interest in convincing you of the benefits of set theory. But
in stating my own observations, in contrast with yours, I note that set
theory does allow precise definitions of such things as 'is a circle'.

> I have no idea what set theory may be apart from what has been
> conveyed to me by others. I doubt many do.

I know what set theory is, as it is defined in certain systematic
treatments of the subject.

> There is an empty set axiom sometimes stated, but it is
> >superfluous, as it is derivable from the axiom schema of separation and
> >the axiom of extensionality. As to a suc(0) axiom of set theory, I
> >still don't know what you have in mind, since you don't.

>
> You might consider asking those who use the phrases themselves unless
> you yourself intend to claim you invented the subject.

I don't know of any treatment of set theory that has axioms named 'suc(
)' or 'suc(0)', so since you don't know what they mean, I can only let
them rest as meaningless verbiage.

> >Seems to you, but not to anyone who can follow a basic mathematical
> >definition. As I defined a 'circle', it is a set of points in RXR all
> >equidistant (for a distance greater than 0) from a given point. That's
> >a circle, not a sphere.

>
> Actually not unless you assume your points all lie on a plane to begin
> with which is a geometrical assumption and not a set definition.

I corrected to say that a circle in RXR is a sphere. As to where points
lie, geometry, and set theory, you don't have to accept this for
yourself, but it is easy to express basic geometric principles in set
theory.

> >There's no lack of ability to express 'dimension', 'space', and
> >'n-dimensional space' in set theory.

>
> To use the words perhaps not. But the objects referred to are
> nonetheless geometric not numeric objects. When used in set theory
> definitions they're nothing but geometric not arithmetic auxilliaries.

Whatever you call the abstractions, whether 'geometric', 'numeric', or
'arithmetic auxillaries', they are formalizable in set theory.

> >'straight line' and 'plane' are easily defined in set theory.
>
> Sure they are:
>
> "A straight line is the set of all points on a straight line".
>
> "A plane is the set of all points on a plane".
>
> "Universal truth is the set of all points which are universally true."
>
> See how easy that was?

By 'defined', obviously, I don't include circular definitions.

MoeBlee

Date Subject Author
7/12/06 Norman Wildberger
7/12/06 malbrain@yahoo.com
7/12/06 Peter Webb
7/12/06 lesterzick@cableone.net
7/12/06 Virgil
7/13/06 lesterzick@cableone.net
7/13/06 Hatto von Aquitanien
7/13/06 Aatu Koskensilta
7/13/06 stephen@nomail.com
7/13/06 Hatto von Aquitanien
7/13/06 Hatto von Aquitanien
7/14/06 David C. Ullrich
7/14/06 pomerado@hotmail.com
7/14/06 Hatto von Aquitanien
7/14/06 Peter Webb
7/15/06 pomerado@hotmail.com
7/15/06 David C. Ullrich
7/15/06 DontBother@nowhere.net
7/16/06 David C. Ullrich
7/16/06 DontBother@nowhere.net
7/14/06 George Greene
7/14/06 Hatto von Aquitanien
7/13/06 Dave L. Renfro
7/14/06 Shmuel (Seymour J.) Metz
7/14/06 DontBother@nowhere.net
7/15/06 Virgil
7/15/06 DontBother@nowhere.net
7/15/06 Virgil
7/15/06 DontBother@nowhere.net
7/16/06 Virgil
7/16/06 DontBother@nowhere.net
7/17/06 Jack Markan
7/17/06 DontBother@nowhere.net
7/18/06 Chas Brown
7/18/06 DontBother@nowhere.net
7/18/06 Jack Markan
7/18/06 Jack Markan
7/19/06 DontBother@nowhere.net
7/19/06 Jack Markan
7/19/06 DontBother@nowhere.net
7/19/06 Jack Markan
7/19/06 DontBother@nowhere.net
7/18/06 DontBother@nowhere.net
7/18/06 Jack Markan
7/19/06 DontBother@nowhere.net
7/19/06 Chris Menzel
7/19/06 DontBother@nowhere.net
7/19/06 Jack Markan
7/19/06 DontBother@nowhere.net
7/19/06 Jack Markan
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/21/06 DontBother@nowhere.net
7/21/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Patricia Shanahan
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Dr. David Kirkby
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/18/06 Richard Herring
7/18/06 DontBother@nowhere.net
7/13/06 Gerry Myerson
7/13/06 Gene Ward Smith
7/13/06 Gerry Myerson
7/13/06 Gene Ward Smith
7/13/06 Lee Rudolph
7/13/06 Aatu Koskensilta
7/13/06 Gerry Myerson
7/13/06 Stephen Montgomery-Smith
7/13/06 Mariano
7/13/06 Stephen Montgomery-Smith
7/14/06 Mariano
7/14/06 Stephen Montgomery-Smith
7/14/06 Mariano
7/14/06 Stephen Montgomery-Smith
7/14/06 DontBother@nowhere.net
7/18/06 Rupert
7/18/06 DontBother@nowhere.net
7/18/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/20/06 Y. T.
7/20/06 Virgil
7/24/06 Y. T.
7/24/06 Virgil
7/22/06 Shmuel (Seymour J.) Metz
7/24/06 Y. T.
7/24/06 Virgil
7/26/06 Y. T.
7/26/06 Virgil
7/30/06 Y. T.
7/26/06 Shmuel (Seymour J.) Metz
7/30/06 Y. T.
7/18/06 Rupert
7/19/06 DontBother@nowhere.net
7/23/06 Rupert
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/24/06 Rupert
7/24/06 DontBother@nowhere.net
7/27/06 Rupert
7/27/06 DontBother@nowhere.net
7/28/06 Rupert
7/29/06 DontBother@nowhere.net
7/29/06 Rupert
7/30/06 DontBother@nowhere.net
7/30/06 Rupert
7/30/06 DontBother@nowhere.net
7/31/06 Rupert
7/31/06 DontBother@nowhere.net
8/4/06 DontBother@nowhere.net
8/4/06 Rupert
8/6/06 DontBother@nowhere.net
8/7/06 Rupert
8/8/06 DontBother@nowhere.net
7/28/06 Chris Menzel
7/28/06 Aatu Koskensilta
7/29/06 DontBother@nowhere.net
7/29/06 Aatu Koskensilta
7/29/06 DontBother@nowhere.net
7/29/06 Aatu Koskensilta
7/29/06 DontBother@nowhere.net
7/29/06 Aatu Koskensilta
7/30/06 DontBother@nowhere.net
8/1/06 Aatu Koskensilta
8/2/06 DontBother@nowhere.net
7/30/06 Ross Finlayson
8/1/06 Aatu Koskensilta
8/1/06 George Greene
7/29/06 Virgil
7/29/06 DontBother@nowhere.net
7/29/06 DontBother@nowhere.net
7/29/06 Chris Menzel
7/29/06 Aatu Koskensilta
7/29/06 Chris Menzel
7/30/06 DontBother@nowhere.net
7/29/06 DontBother@nowhere.net
7/29/06 DontBother@nowhere.net
7/13/06 DontBother@nowhere.net
7/13/06 DontBother@nowhere.net
7/13/06 Gene Ward Smith
7/13/06 Stephen Montgomery-Smith
7/14/06 Daryl McCullough
7/14/06 Peter Webb
7/14/06 Stephen Montgomery-Smith
7/14/06 DontBother@nowhere.net
7/14/06 Shmuel (Seymour J.) Metz
7/14/06 dkfjdklj@yahoo.com
7/14/06 Gene Ward Smith
7/14/06 dkfjdklj@yahoo.com
7/14/06 Rupert
7/14/06 guenther.vonKnakspott@gmx.de
7/14/06 Stephen Montgomery-Smith
7/14/06 Hatto von Aquitanien
7/14/06 Barb Knox
7/14/06 Hatto von Aquitanien
7/14/06 Barb Knox
7/14/06 Hatto von Aquitanien
7/14/06 Gene Ward Smith
7/14/06 Hatto von Aquitanien
7/14/06 Virgil
7/15/06 Gene Ward Smith
7/15/06 Hatto von Aquitanien
7/15/06 Dave Seaman
7/14/06 Patricia Shanahan
7/14/06 Hatto von Aquitanien
7/14/06 Stephen Montgomery-Smith
7/15/06 pomerado@hotmail.com
7/15/06 Virgil
7/15/06 Stephen Montgomery-Smith
7/15/06 DontBother@nowhere.net
7/15/06 Patricia Shanahan
7/15/06 DontBother@nowhere.net
7/15/06 Virgil
7/15/06 DontBother@nowhere.net
7/15/06 Virgil
7/15/06 Dr. David Kirkby
7/16/06 DontBother@nowhere.net
7/16/06 DontBother@nowhere.net
7/20/06 Rupert
7/17/06 Aatu Koskensilta
7/17/06 dkfjdklj@yahoo.com
7/17/06 Aatu Koskensilta
7/14/06 R. Srinivasan
7/14/06 Kevin Karn
7/15/06 Dave L. Renfro
7/15/06 R. Srinivasan
7/15/06 Kevin Karn
7/15/06 R. Srinivasan
7/15/06 stephen@nomail.com
7/15/06 R. Srinivasan
7/15/06 Patricia Shanahan
7/15/06 Daryl McCullough
7/15/06 Patricia Shanahan
7/15/06 Peter Webb
7/15/06 R. Srinivasan
7/17/06 Kevin Karn
7/17/06 Patricia Shanahan
7/17/06 dkfjdklj@yahoo.com
7/17/06 Patricia Shanahan
7/17/06 dkfjdklj@yahoo.com
7/17/06 malbrain@yahoo.com
7/17/06 Patricia Shanahan
7/17/06 malbrain@yahoo.com
7/17/06 Chas Brown
7/17/06 malbrain@yahoo.com
7/17/06 Chas Brown
7/17/06 malbrain@yahoo.com
7/17/06 DontBother@nowhere.net
7/17/06 malbrain@yahoo.com
7/17/06 DontBother@nowhere.net
7/18/06 malbrain@yahoo.com
7/19/06 DontBother@nowhere.net
7/17/06 Virgil
7/17/06 DontBother@nowhere.net
7/18/06 Virgil
7/18/06 DontBother@nowhere.net
7/17/06 Chas Brown
7/18/06 Aatu Koskensilta
7/18/06 DontBother@nowhere.net
7/18/06 Chas Brown
7/18/06 Gerry Myerson
7/19/06 Chas Brown
7/19/06 Gerry Myerson
7/19/06 Chas Brown
7/20/06 Shmuel (Seymour J.) Metz
7/19/06 Aatu Koskensilta
7/19/06 Chas Brown
7/20/06 Shmuel (Seymour J.) Metz
7/20/06 Aatu Koskensilta
7/20/06 Lee Rudolph
7/20/06 Aatu Koskensilta
7/20/06 David Bernier
7/21/06 Aatu Koskensilta
7/21/06 George Greene
7/18/06 malbrain@yahoo.com
7/18/06 DontBother@nowhere.net
7/18/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/18/06 malbrain@yahoo.com
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/17/06 Russell Easterly
7/17/06 jirka@5z.com
7/17/06 malbrain@yahoo.com
7/17/06 jirka@5z.com
7/17/06 malbrain@yahoo.com
7/17/06 Patricia Shanahan
7/17/06 malbrain@yahoo.com
7/17/06 DontBother@nowhere.net
7/17/06 Virgil
7/18/06 namducnguyen
7/18/06 DontBother@nowhere.net
7/18/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/20/06 DontBother@nowhere.net
7/18/06 namducnguyen
7/18/06 namducnguyen
7/18/06 DontBother@nowhere.net
7/18/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/20/06 DontBother@nowhere.net
7/18/06 namducnguyen
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/21/06 DontBother@nowhere.net
7/21/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 Jan Burse
7/24/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 DontBother@nowhere.net
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/18/06 Rupert
7/18/06 namducnguyen
7/19/06 Rupert
7/20/06 namducnguyen
7/20/06 DontBother@nowhere.net
7/20/06 namducnguyen
7/21/06 DontBother@nowhere.net
7/21/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/27/06 Rupert
7/27/06 DontBother@nowhere.net
7/28/06 Rupert
7/29/06 DontBother@nowhere.net
7/29/06 Virgil
7/29/06 DontBother@nowhere.net
7/29/06 Virgil
7/30/06 DontBother@nowhere.net
7/30/06 Virgil
7/30/06 DontBother@nowhere.net
7/29/06 Rupert
7/30/06 DontBother@nowhere.net
7/29/06 namducnguyen
7/29/06 DontBother@nowhere.net
7/29/06 Rupert
7/18/06 DontBother@nowhere.net
7/19/06 Rupert
7/19/06 namducnguyen
7/19/06 DontBother@nowhere.net
7/20/06 Rupert
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/21/06 DontBother@nowhere.net
7/21/06 Virgil
7/21/06 DontBother@nowhere.net
7/21/06 Virgil
7/22/06 herbzet@cox.net
7/22/06 DontBother@nowhere.net
7/23/06 herbzet@cox.net
7/23/06 DontBother@nowhere.net
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/22/06 herbzet@cox.net
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/23/06 herbzet@cox.net
7/23/06 herbzet@cox.net
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/23/06 herbzet@cox.net
7/24/06 DontBother@nowhere.net
7/24/06 herbzet@cox.net
7/24/06 DontBother@nowhere.net
7/24/06 herbzet@cox.net
7/24/06 DontBother@nowhere.net
7/24/06 herbzet@cox.net
7/25/06 DontBother@nowhere.net
7/25/06 DontBother@nowhere.net
7/26/06 herbzet@cox.net
7/26/06 DontBother@nowhere.net
7/27/06 herbzet@cox.net
7/28/06 DontBother@nowhere.net
7/28/06 herbzet@cox.net
7/29/06 DontBother@nowhere.net
7/30/06 herbzet@cox.net
7/30/06 DontBother@nowhere.net
7/24/06 Virgil
7/24/06 Virgil
7/23/06 herbzet@cox.net
7/22/06 herbzet@cox.net
7/22/06 Virgil
7/22/06 herbzet@cox.net
7/20/06 Rupert
7/21/06 namducnguyen
7/21/06 Rupert
7/21/06 namducnguyen
7/22/06 Rupert
7/23/06 namducnguyen
7/24/06 Rupert
7/24/06 namducnguyen
7/24/06 Rupert
7/27/06 namducnguyen
7/27/06 Rupert
7/29/06 namducnguyen
7/29/06 Rupert
7/30/06 DontBother@nowhere.net
7/31/06 namducnguyen
7/21/06 DontBother@nowhere.net
7/21/06 Virgil
7/21/06 DontBother@nowhere.net
7/21/06 Virgil
7/21/06 Dr. David Kirkby
7/22/06 DontBother@nowhere.net
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/25/06 Rupert
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/21/06 DontBother@nowhere.net
7/21/06 jirka@5z.com
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/23/06 jirka@5z.com
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/23/06 Aatu Koskensilta
7/23/06 Dr. David Kirkby
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/24/06 R. Srinivasan
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/23/06 jirka@5z.com
7/23/06 DontBother@nowhere.net
7/24/06 Aatu Koskensilta
7/24/06 DontBother@nowhere.net
7/25/06 Gc
7/25/06 Aatu Koskensilta
7/25/06 Gc
7/25/06 Aatu Koskensilta
7/25/06 Gc
7/25/06 Aatu Koskensilta
7/25/06 Gc
7/25/06 Aatu Koskensilta
7/25/06 Gc
7/25/06 Aatu Koskensilta
7/25/06 Gc
7/25/06 Gc
7/25/06 Aatu Koskensilta
7/25/06 Gc
7/25/06 Aatu Koskensilta
7/25/06 Gc
7/25/06 Aatu Koskensilta
7/25/06 Gc
7/25/06 Aatu Koskensilta
7/25/06 Gc
7/25/06 Gc
7/25/06 Chris Menzel
7/25/06 Gc
7/26/06 Chris Menzel
7/26/06 Gc
7/28/06 George Greene
7/28/06 Aatu Koskensilta
7/25/06 Pierre Asselin
7/25/06 Dr. David Kirkby
7/26/06 DontBother@nowhere.net
7/26/06 DontBother@nowhere.net
7/26/06 Pierre Asselin
7/27/06 DontBother@nowhere.net
7/26/06 jirka@5z.com
7/26/06 Gc
7/24/06 Aatu Koskensilta
7/24/06 jirka@5z.com
7/24/06 Aatu Koskensilta
7/25/06 jirka@5z.com
7/25/06 Aatu Koskensilta
7/18/06 DontBother@nowhere.net
7/18/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/21/06 DontBother@nowhere.net
7/21/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Virgil
7/22/06 DontBother@nowhere.net
7/22/06 Patricia Shanahan
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/22/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/23/06 DontBother@nowhere.net
7/23/06 Virgil
7/24/06 DontBother@nowhere.net
7/24/06 Virgil
7/18/06 Aatu Koskensilta
7/18/06 DontBother@nowhere.net
7/19/06 David Bernier
7/19/06 Aatu Koskensilta
7/22/06 Keith Ramsay
7/22/06 David Bernier
7/22/06 Virgil
8/3/06 Rupert
7/17/06 Toni Lassila
7/14/06 Phil Carmody
7/14/06 Stephen Montgomery-Smith
7/20/06 Y. T.
7/13/06 Peter Webb
7/13/06 Gerry Myerson
7/13/06 Stephen Montgomery-Smith
7/14/06 Kevin Karn
7/14/06 Gene Ward Smith
7/15/06 Stephen Montgomery-Smith
7/15/06 Stephen Montgomery-Smith
7/15/06 Gene Ward Smith
7/15/06 Hatto von Aquitanien
7/15/06 Stephen Montgomery-Smith
7/15/06 Barb Knox
7/15/06 Daryl McCullough
7/15/06 Peter Webb
7/15/06 Chas Brown
7/15/06 T.H. Ray
7/15/06 DontBother@nowhere.net
7/15/06 Lee Rudolph
7/17/06 James Dolan
7/14/06 Peter Webb
7/17/06 Rupert
7/13/06 Russell Easterly
7/13/06 Gene Ward Smith
7/13/06 stephen@nomail.com
7/13/06 Virgil
7/13/06 Hatto von Aquitanien
7/13/06 Stephen Montgomery-Smith
7/13/06 Gene Ward Smith
7/13/06 Hatto von Aquitanien
7/13/06 Stephen Montgomery-Smith
7/14/06 Hatto von Aquitanien
7/13/06 lDontBother@nowhere.net
7/13/06 Hatto von Aquitanien
7/13/06 DontBother@nowhere.net
7/15/06 John Jones
7/15/06 Virgil
7/13/06 Kevin Karn
7/13/06 Russell Easterly
7/13/06 Kevin Karn
8/4/06 seand602
7/13/06 Gene Ward Smith
7/13/06 Gerry Myerson
7/13/06 Gene Ward Smith
7/13/06 R. Srinivasan
7/13/06 lDontBother@nowhere.net
7/13/06 Aatu Koskensilta
7/13/06 DontBother@nowhere.net
7/13/06 Aatu Koskensilta
7/14/06 Shmuel (Seymour J.) Metz
7/14/06 DontBother@nowhere.net
7/14/06 Virgil
7/15/06 DontBother@nowhere.net
7/15/06 Virgil
7/15/06 DontBother@nowhere.net
7/15/06 Virgil
7/16/06 DontBother@nowhere.net
7/13/06 Peter Webb
7/13/06 Gene Ward Smith
7/13/06 Gerry Myerson
7/13/06 Gene Ward Smith
7/14/06 R. Srinivasan
7/14/06 R. Srinivasan
7/14/06 Soap_Dude
7/16/06 R. Srinivasan
7/16/06 Gerry Myerson
7/17/06 Rupert
7/13/06 Daryl McCullough
7/13/06 tez_h@nospam.yahoo.com
7/13/06 Gerry Myerson
7/13/06 DontBother@nowhere.net
7/14/06 Lee Rudolph
7/15/06 George Greene
7/15/06 David Petry
7/14/06 George Greene
7/15/06 Andrew Bettilyon
7/16/06 George Greene
7/17/06 Andrew Bettilyon
7/16/06 bogus address
7/16/06 Patricia Shanahan
7/16/06 Patricia Shanahan
7/17/06 Andrew Bettilyon
7/13/06 George Greene
7/13/06 Gene Ward Smith
7/13/06 Gerry Myerson
7/13/06 DontBother@nowhere.net
7/13/06 Gene Ward Smith
7/14/06 DontBother@nowhere.net
7/14/06 Gene Ward Smith
7/14/06 Hatto von Aquitanien
7/14/06 DontBother@nowhere.net
7/14/06 Ralf Bader
7/14/06 DontBother@nowhere.net
7/14/06 Virgil
7/15/06 DontBother@nowhere.net
7/15/06 Virgil
7/15/06 DontBother@nowhere.net
7/16/06 Virgil
7/16/06 DontBother@nowhere.net
7/18/06 Rupert
7/19/06 DontBother@nowhere.net
7/19/06 Dave L. Renfro
7/19/06 DontBother@nowhere.net
7/19/06 Virgil
7/20/06 Dave L. Renfro
7/20/06 Dave L. Renfro
7/20/06 DontBother@nowhere.net
7/20/06 DontBother@nowhere.net
7/20/06 Virgil
7/20/06 DontBother@nowhere.net
7/24/06 Rupert
7/24/06 DontBother@nowhere.net
7/14/06 George Greene
7/14/06 George Greene
7/14/06 George Greene
7/14/06 Rupert
7/14/06 George Greene
7/14/06 T.H. Ray
7/12/06 GonÃ§alo Rodrigues
7/12/06 Gene Ward Smith
7/12/06 David Petry
7/12/06 Gene Ward Smith
7/13/06 Richard Herring
7/13/06 Gene Ward Smith
7/13/06 Gerry Myerson
7/13/06 Gene Ward Smith
7/14/06 Gerry Myerson
7/14/06 Gene Ward Smith
7/14/06 Gerry Myerson
7/14/06 Lee Rudolph
7/14/06 Stephen Montgomery-Smith
7/14/06 Gene Ward Smith
7/13/06 Stephen Montgomery-Smith
7/13/06 Gene Ward Smith
7/13/06 kunzmilan@atlas.cz
7/13/06 guenther.vonKnakspott@gmx.de
7/13/06 Hatto von Aquitanien
7/13/06 Dr. David Kirkby
7/13/06 Hatto von Aquitanien
7/14/06 David C. Ullrich
7/14/06 David C. Ullrich
7/14/06 Peter Webb
7/14/06 jirka@5z.com
7/14/06 Hatto von Aquitanien
7/13/06 guenther.vonKnakspott@gmx.de
7/13/06 Hatto von Aquitanien
7/13/06 guenther.vonKnakspott@gmx.de
7/14/06 David C. Ullrich
7/13/06 Dave L. Renfro
7/13/06 Stephen Montgomery-Smith
7/13/06 Gene Ward Smith
7/13/06 Stephen Montgomery-Smith
7/13/06 Gene Ward Smith
7/13/06 Brian Chandler
7/13/06 Chas Brown
7/13/06 DontBother@nowhere.net
7/14/06 guenther.vonKnakspott@gmx.de
7/14/06 DontBother@nowhere.net
7/14/06 Chas Brown
7/14/06 Ben Rudiak-Gould
7/14/06 guenther.vonKnakspott@gmx.de
7/14/06 Stephen Montgomery-Smith
7/14/06 stephen@nomail.com
7/14/06 Stephen Montgomery-Smith
7/14/06 Gene Ward Smith
7/14/06 Hatto von Aquitanien
7/14/06 Dave L. Renfro
7/14/06 DontBother@nowhere.net
7/14/06 Stephen Montgomery-Smith
7/14/06 Hatto von Aquitanien
7/14/06 Stephen Montgomery-Smith
7/14/06 Hatto von Aquitanien
7/14/06 Stephen Montgomery-Smith
7/14/06 Stephen Montgomery-Smith
7/14/06 Chas Brown
7/13/06 Hatto von Aquitanien
8/3/06 Anonymous

© The Math Forum at NCTM 1994-2018. All Rights Reserved.