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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: 2,799
Registered: 7/9/08
Re: Infinity: The Story So Far
Posted: Feb 28, 2014 12:25 AM
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On Friday, February 28, 2014 12:01:58 AM UTC-5, John Gabriel wrote:
> On Friday, 28 February 2014 06:55:51 UTC+2, Dan Christensen wrote:
>
>
>

> > I'm confused. Haven't you already constructed the natural numbers with you 8, oops... make that 9 "axioms of arithmetic"? And how do to propose to prove this without induction?
>
> Are you getting confused again between the construction of natural numbers and the axioms of arithmetic? I think you are! Chuckle.
>


So, you have no idea how you are going to derive the basic rules algebra (associativity of +, etc.) in your system. You really have to resolve this issue, John.


>
>

> > There you go again, John. Again, Peano's axioms describe the essential properties of the natural numbers.
>
>
>
> Good. Now you are beginning to see the difference: the natural numbers are NOT the same as their properties.


In formal mathematics, their essential properties define them. You can go ahead and imagine the numbers arrayed on marble pedestals in heaven next to God, or some other such nonsense, but where would that get you? You need something you can work with.

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
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mueckenh@rz.fh-augsburg.de
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2/27/14
Read Re: Infinity: The Story So Far
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2/27/14
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fom
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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
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Virgil
2/28/14
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2/28/14
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fom
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2/26/14
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2/26/14
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fom
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mueckenh@rz.fh-augsburg.de
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fom
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mueckenh@rz.fh-augsburg.de
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Virgil
2/27/14
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mueckenh@rz.fh-augsburg.de
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2/27/14
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mueckenh@rz.fh-augsburg.de
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Read Re: Infinity: The Story So Far
Dan Christensen
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thenewcalculus@gmail.com
2/27/14
Read Re: Infinity: The Story So Far
Dan Christensen
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thenewcalculus@gmail.com
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Dan Christensen
2/27/14
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mueckenh@rz.fh-augsburg.de
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fom
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fom
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mueckenh@rz.fh-augsburg.de
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mueckenh@rz.fh-augsburg.de
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2/26/14
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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
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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
Read Re: Infinity: The Story So Far
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
thenewcalculus@gmail.com
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Martin Shobe
2/27/14
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2/28/14
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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
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2/28/14
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John Gabriel
2/28/14
Read Re: Infinity: The Story So Far
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2/28/14
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2/27/14
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2/27/14
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2/28/14
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2/28/14
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2/28/14
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2/28/14
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2/27/14
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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
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
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
2/28/14
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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
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2/28/14
Read The Spaghetti Axioms were meant to...
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2/28/14
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fom
2/28/14
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2/28/14
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2/28/14
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2/28/14
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2/28/14
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2/28/14
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2/28/14
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3/1/14
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Dan Christensen
3/1/14
Read Re: Infinity: The Story So Far
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
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3/1/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/1/14
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3/1/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/1/14
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3/2/14
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Wizard-Of-Oz
3/1/14
Read Re: Infinity: The Story So Far
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
Read Re: Infinity: The Story So Far
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3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
John Gabriel
3/2/14
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Wizard-Of-Oz
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
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3/2/14
Read Re: Infinity: The Story So Far
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
Read Infinity does not exist and Peano was a moron.
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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
Read No need for spaghetti "axioms".
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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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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
Read poster boy for "let's die-a-log
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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3/6/14
Read Re: Infinity: The Story So Far
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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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