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

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Peter Percival

Posts: 1,370
Registered: 10/25/10
Re: Infinity: The Story So Far
Posted: Feb 27, 2014 4:09 PM
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mueckenh@rz.fh-augsburg.de wrote:

> Why have just these axioms of set theory been chosen? Any idea?

Zermelo's set theory was axiomatized in the way it was so that he could
prove Cantor's theorem that every set was well-orderable. Cantor's own
proof was not widely accepted.



--
Madam Life's a piece in bloom,
Death goes dogging everywhere:
She's the tenant of the room,
He's the ruffian on the stair.


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
Read Re: Infinity: The Story So Far
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
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
2/26/14
Read Re: Infinity: The Story So Far
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
Read Re: Infinity: The Story So Far
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
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
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
Read Re: Infinity: The Story So Far
Peter Percival
2/27/14
Read Re: Infinity: The Story So Far
fom
2/27/14
Read Re: Infinity: The Story So Far
Peter Percival
2/27/14
Read Re: Infinity: The Story So Far
fom
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
4/7/14
Read Re: Infinity: The Story So Far
Aatu Koskensilta
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
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
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
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
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
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
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
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
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
2/28/14
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
Read Re: Infinity: The Story So Far - JG sloppy axioms
Wizard-Of-Oz
2/28/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
Wizard-Of-Oz
2/28/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
Dan Christensen
2/28/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
Wizard-Of-Oz
2/28/14
Read Re: Infinity: The Story So Far - JG sloppy axioms
Wizard-Of-Oz
2/28/14
Read Re: Infinity: The Story So Far - JG's axioms allow 2+3=6
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
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
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
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/28/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
2/28/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/28/14
Read Re: Infinity: The Story So Far
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
Read Re: The Spaghetti Axioms were meant to...
John Gabriel
2/28/14
Read Re: The Spaghetti Axioms were meant to...
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
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
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
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
Read Re: Infinity: The Story So Far
Dan Christensen
3/1/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
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
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/1/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/1/14
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thenewcalculus@gmail.com
3/1/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/2/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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
Read Re: Infinity: The Story So Far
Dan Christensen
3/3/14
Read Re: Infinity: The Story So Far
John Gabriel
3/3/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/3/14
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/3/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/3/14
Read Re: Infinity: The Story So Far
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
Read Re: How I established my axioms.
Jürgen R.
3/2/14
Read Re: How I established my axioms.
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3/3/14
Read Re: How I established my axioms.
New Balance
3/2/14
Read Re: How I established my axioms.
Wizard-Of-Oz
3/2/14
Read Re: How I established my axioms.
New Balance
3/4/14
Read Infinity does not exist and Peano was a moron.
thenewcalculus@gmail.com
3/4/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/4/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/4/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/4/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/4/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/4/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read Re: Infinity: The Story So Far
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3/4/14
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ross.finlayson@gmail.com
3/5/14
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ross.finlayson@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
Brian Q. Hutchings
3/5/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
Dan Christensen
3/5/14
Read No need for spaghetti "axioms".
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3/5/14
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Dan Christensen
3/5/14
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Dan Christensen
3/5/14
Read Re: No need for spaghetti "axioms".
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3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/5/14
Read Re: No need for spaghetti "axioms".
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3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/5/14
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/6/14
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/6/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/6/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/6/14
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thenewcalculus@gmail.com
3/5/14
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YBM
3/6/14
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New Balance
3/6/14
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thenewcalculus@gmail.com
3/6/14
Read poster boy for "let's die-a-log
Brian Q. Hutchings
3/5/14
Read Peano's rot in action for you!
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3/5/14
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Dan Christensen
3/5/14
Read Re: Peano's rot in action for you!
thenewcalculus@gmail.com
3/5/14
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Dan Christensen
3/5/14
Read Re: Peano's rot in action for you!
Peter Percival
3/5/14
Read Re: Peano's rot in action for you!
thenewcalculus@gmail.com
3/5/14
Read Re: Peano's rot in action for you!
Martin Shobe
3/5/14
Read Re: Peano's rot in action for you!
Wizard-Of-Oz
3/5/14
Read Re: Peano's rot in action for you!
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
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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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