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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: 2,486
Registered: 7/9/08
Re: Infinity: The Story So Far
Posted: Mar 1, 2014 5:43 PM
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On Saturday, March 1, 2014 2:16:32 PM UTC-5, John Gabriel wrote:
> On Saturday, 1 March 2014 20:47:36 UTC+2, Dan Christensen wrote:
>

> > On Saturday, March 1, 2014 1:31:57 PM UTC-5, John Gabriel wrote:
>
>
>

> > If you are claiming that number theory can be derived from your "axioms" alone (apart from those of logic and set theory), then it does indeed need a proof.
>
>
>
> I am not only claiming, but I have shown that number theory can be derived using Euclid's (modified) Elements - call them my axioms if you want.
>


You have been unable to derive even the most elementary result from number theory. What kind of "axioms" are they?


> Axioms don't need proofs. In fact, they usually can't be proved.
>


The statement, for all natural numbers n, n=/=n+1, is not an axiom (in Peano or in your own system). It is a theorem, the proof of which seems to completely elude you and your system of "axioms." I pick it because it is perhaps the simplest inductive proof in number theory. I have the proof as a worked example in the tutorial than comes with my proof software (see Example 13).

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
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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
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fom
2/27/14
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2/28/14
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Dan Christensen
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Read Re: Infinity: The Story So Far
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Read Re: Infinity: The Story So Far
Dan Christensen
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mueckenh@rz.fh-augsburg.de
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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
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
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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
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2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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Read Re: Infinity: The Story So Far
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2/27/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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Read Re: Infinity: The Story So Far
Martin Shobe
2/27/14
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Martin Shobe
2/28/14
Read Re: Infinity: The Story So Far
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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
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
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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
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Dan Christensen
2/28/14
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2/28/14
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thenewcalculus@gmail.com
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Dan Christensen
3/1/14
Read Re: Infinity: The Story So Far
thenewcalculus@gmail.com
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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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thenewcalculus@gmail.com
3/2/14
Read Re: Infinity: The Story So Far
Wizard-Of-Oz
3/1/14
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3/2/14
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Wizard-Of-Oz
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3/2/14
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3/1/14
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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
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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
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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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Dan Christensen
3/3/14
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John Gabriel
3/3/14
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3/3/14
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3/3/14
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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
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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
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3/3/14
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New Balance
3/2/14
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Wizard-Of-Oz
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
Read Re: Infinity: The Story So Far
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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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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Dan Christensen
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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3/6/14
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3/5/14
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YBM
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3/6/14
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3/6/14
Read poster boy for "let's die-a-log
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Read Peano's rot in action for you!
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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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