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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: 2,254
Registered: 7/9/08
Re: Infinity: The Story So Far
Posted: Mar 4, 2014 11:22 PM
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On Tuesday, March 4, 2014 6:31:59 PM UTC-5, Dan Christensen wrote:
> On Tuesday, March 4, 2014 6:05:43 PM UTC-5, John Gabriel wrote:
>

> > On Tuesday, 4 March 2014 21:04:22 UTC+2, Dan Christensen wrote:
>
> > > It is an essential property of the natural numbers: there exists at least one element of N.
>
> > It has nothing to do with natural numbers.
>
> Well, you go ahead play around with number systems without any actual numbers in them, and see how far you get, John Gabriel. Sounds really boring to me.
>


Note, too, that the only constants you give in your "axioms" are a '0' and something called a "unit". Unlike the case with the Peano axioms, nowhere are these constants called numbers. Why is that, John Gabriel?

The only way to create new numbers is applying difference, sum, reciprocal and multiply operators to existing numbers. If you start with no numbers, you cannot generate new ones even if these operators were well-defined -- which, as we have seen here, they are not.

So, good luck trying to derive any number-theoretic results whatsoever from these Gobbledygook Axioms of yours, John Gabriel.

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
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ross.finlayson@gmail.com
2/26/14
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2/26/14
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ross.finlayson@gmail.com
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3/1/14
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3/2/14
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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
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thenewcalculus@gmail.com
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Dan Christensen
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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
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Martin Shobe
2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
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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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2/27/14
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2/27/14
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2/27/14
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Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
mueckenh@rz.fh-augsburg.de
2/27/14
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2/27/14
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Dan Christensen
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Read Re: Infinity: The Story So Far
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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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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thenewcalculus@gmail.com
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Dan Christensen
2/27/14
Read Re: Infinity: The Story So Far
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Dan Christensen
2/27/14
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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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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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Dan Christensen
2/28/14
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2/28/14
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John Gabriel
2/28/14
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2/28/14
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Dan Christensen
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Read Re: Infinity: The Story So Far
Dan Christensen
3/1/14
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Wizard-Of-Oz
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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
Read Re: Infinity: The Story So Far
John Gabriel
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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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Dan Christensen
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3/2/14
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3/3/14
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3/3/14
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3/2/14
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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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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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Dan Christensen
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Dan Christensen
3/5/14
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3/5/14
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Dan Christensen
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Dan Christensen
3/5/14
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3/6/14
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3/6/14
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3/5/14
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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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