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Topic: Infinity: The Story So Far
Replies: 298   Last Post: Apr 7, 2014 7:30 AM

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Dan Christensen

Posts: 2,501
Registered: 7/9/08
Re: The Spaghetti Axioms were meant to...
Posted: Feb 28, 2014 4:34 PM
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On Friday, February 28, 2014 2:21:51 PM UTC-5, iwa...@gmail.com wrote:
> On Friday, February 28, 2014 9:08:25 PM UTC+2, fom wrote:
>
>
>

> > I should have said definition.
>
>
>

> > Book 7, Definition 1
>
> > A unit is that by virtue of which each of
>
> > the things that exist is called one.
>
>
>
> I am not going to enter a discussion about Euclid with you because you don't know anything about Euclid. I never ignored that first definition. In fact, I defined a unit in my axioms - far better than Euclid.
>


Looks like you had better add all the axioms of Euclidean geometry to your list of "axioms" (preferably from Tarski). Maybe another 10 or 20 axioms/definitions (many counter-intuitive as I recall)? Maybe you should consider NON-Euclidean as well -- one less axiom. But you still won't be unable to do proof by induction.

Are you ready to give Peano a chance now, John Gabriel? Just 5 simple little axioms. 4 of them devoted to describing nothing more than an injective, but non-surjective function on a set. The other is a simple statement of... wait for it... THE INDUCTION PRINCIPLE. And you will have all of number theory at your disposal.

Leave the Dark Side once and for all, John Gabriel. Trolldom really isn't for you.

Dan
Download my DC Proof 2.0 software at http://www.dcproof.com
Visit my new math blog at http://www.dcproof.wordpress.com


Date Subject Author
2/25/14
Read Infinity: The Story So Far
Dan Christensen
2/25/14
Read Re: Infinity: The Story So Far
Brian Q. Hutchings
2/25/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
2/25/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Leo Sgouros
2/26/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
William Elliot
3/1/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
Brian Q. Hutchings
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
Virgil
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/26/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read show a canonical base-one accounting by induction on base-eleven
Brian Q. Hutchings
2/26/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
Read the story of numbers
Brian Q. Hutchings
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
fom
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Tanu R.
2/27/14
Read Re: Infinity: The Story So Far
Tanu R.
2/28/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
Tanu R.
2/27/14
Read Re: Infinity: The Story So Far
fom
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far
Virgil
2/28/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/28/14
Read Re: Infinity: The Story So Far
Virgil
2/28/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/28/14
Read Re: Infinity: The Story So Far
Virgil
2/28/14
Read Re: Infinity: The Story So Far
fom
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
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Tanu R.
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/26/14
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Virgil
2/26/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/26/14
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Virgil
2/26/14
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Dan Christensen
2/26/14
Read Re: Infinity: The Story So Far
fom
2/26/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/26/14
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fom
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
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thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
fom
2/27/14
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Peter Percival
2/27/14
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fom
2/27/14
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Peter Percival
2/27/14
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fom
2/27/14
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thenewcalculus@gmail.com
4/7/14
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Aatu Koskensilta
2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/26/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/26/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Brian Q. Hutchings
2/26/14
Read Re: Infinity: The Story So Far
Virgil
2/26/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/26/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Virgil
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far
Tanu R.
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
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2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
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2/27/14
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Martin Shobe
2/27/14
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2/27/14
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Martin Shobe
2/27/14
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2/27/14
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thenewcalculus@gmail.com
2/27/14
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thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/27/14
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thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/27/14
Read Re: Infinity: The Story So Far
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2/27/14
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Martin Shobe
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/28/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/28/14
Read Re: Infinity: The Story So Far
John Gabriel
2/28/14
Read Re: Infinity: The Story So Far
Martin Shobe
2/28/14
Read Re: Infinity: The Story So Far
John Gabriel
2/28/14
Read Re: Infinity: The Story So Far
Sal Honda
2/27/14
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
2/27/14
Read Re: Infinity: The Story So Far
fom
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
fom
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
Wizard-Of-Oz
2/27/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
thenewcalculus@gmail.com
2/28/14
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Wizard-Of-Oz
2/28/14
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2/28/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
Wizard-Of-Oz
2/28/14
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2/28/14
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2/28/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
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2/28/14
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Wizard-Of-Oz
2/28/14
Read Re: Infinity: The Story So Far - JG's axioms allow 2+3=6
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far - JG's axioms allow 2+3=6
Wizard-Of-Oz
2/27/14
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thenewcalculus@gmail.com
2/27/14
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thenewcalculus@gmail.com
2/27/14
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thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/27/14
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Dan Christensen
2/27/14
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2/27/14
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Dan Christensen
2/27/14
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2/27/14
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Dan Christensen
2/28/14
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Dan Christensen
2/27/14
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thenewcalculus@gmail.com
2/28/14
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Dan Christensen
2/28/14
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thenewcalculus@gmail.com
2/28/14
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Dan Christensen
2/28/14
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John Gabriel
2/28/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/28/14
Read The Spaghetti Axioms were meant to...
John Gabriel
2/28/14
Read Re: The Spaghetti Axioms were meant to...
fom
2/28/14
Read Re: The Spaghetti Axioms were meant to...
John Gabriel
2/28/14
Read Re: The Spaghetti Axioms were meant to...
fom
2/28/14
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John Gabriel
2/28/14
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Dan Christensen
2/28/14
Read Re: The Spaghetti Axioms were meant to...
Wizard-Of-Oz
2/28/14
Read Difference between postulate and axiom.
John Gabriel
2/28/14
Read Re: Difference between postulate and axiom.
Harman Kardan
2/28/14
Read Re: Difference between postulate and axiom.
John Gabriel
2/28/14
Read Re: Difference between postulate and axiom.
Wizard-Of-Oz
2/28/14
Read Re: Infinity: The Story So Far
Johnny Oiler
3/1/14
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thenewcalculus@gmail.com
3/1/14
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Dan Christensen
3/1/14
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thenewcalculus@gmail.com
3/1/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/1/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/1/14
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Dan Christensen
3/1/14
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3/1/14
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Dan Christensen
3/1/14
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thenewcalculus@gmail.com
3/2/14
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Wizard-Of-Oz
3/1/14
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Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/1/14
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Wizard-Of-Oz
3/1/14
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3/2/14
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Wizard-Of-Oz
3/1/14
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3/1/14
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3/2/14
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Dan Christensen
3/2/14
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3/2/14
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Dan Christensen
3/2/14
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John Gabriel
3/2/14
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Wizard-Of-Oz
3/2/14
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Dan Christensen
3/2/14
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3/2/14
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Dan Christensen
3/2/14
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3/2/14
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Dan Christensen
3/2/14
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3/2/14
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Dan Christensen
3/2/14
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John Gabriel
3/2/14
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Dan Christensen
3/3/14
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John Gabriel
3/3/14
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Dan Christensen
3/3/14
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Wizard-Of-Oz
3/3/14
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3/3/14
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Virgil
3/2/14
Read Re: Infinity: The Story So Far - BG's failed attempt at constructing numbers
Wizard-Of-Oz
3/2/14
Read How I established my axioms.
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3/2/14
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Jürgen R.
3/2/14
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3/3/14
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New Balance
3/2/14
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3/2/14
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New Balance
3/4/14
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3/4/14
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3/4/14
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Dan Christensen
3/4/14
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3/4/14
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Dan Christensen
3/4/14
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Dan Christensen
3/4/14
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/5/14
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3/4/14
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3/5/14
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Dan Christensen
3/5/14
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3/5/14
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Brian Q. Hutchings
3/5/14
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/6/14
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3/6/14
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Dan Christensen
3/6/14
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Dan Christensen
3/6/14
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3/5/14
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YBM
3/6/14
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New Balance
3/6/14
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3/6/14
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Brian Q. Hutchings
3/5/14
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3/5/14
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
3/5/14
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Peter Percival
3/5/14
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3/5/14
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Martin Shobe
3/5/14
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Wizard-Of-Oz
3/5/14
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Wizard-Of-Oz
3/5/14
Read Re: Peano's rot in action for you!
Wizard-Of-Oz
3/5/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/6/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/6/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/6/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/11/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/11/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/12/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/12/14
Read Re: Infinity: The Story So Far
Martin Shobe
3/12/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com

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