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

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 thenewcalculus@gmail.com Posts: 1,361 Registered: 11/1/13
Re: Infinity: The Story So Far
Posted: Feb 27, 2014 1:17 PM

On Thursday, 27 February 2014 20:13:28 UTC+2, Martin Shobe wrote:
> On 2/27/2014 11:41 AM, Dan Christensen wrote:
>

> > On Thursday, February 27, 2014 11:56:50 AM UTC-5, John Gabriel wrote:
>
> >
>
> >>
>
> >> Observe that all the basic arithmetic operations are defined in terms of difference, which is the most primitive operator
>
> >
>
> > That's all very nice, but I prefer Peano's five, relatively succinct axioms as a starting point. You can probably derive some equivalent of all your "axioms" from them. And they have the pleasing property of describing the structure at least one subset of EVERY infinite set.
>
>
>
> Not really. 2 + 3 = 6 fits the statements he's given. I seriously doubt
>
> you'd get that from Peano.
>
>
>
> Martin Shobe

There is not a chance you would get 2+3=6 from my axioms.

Date Subject Author
2/25/14 Dan Christensen
2/25/14 Brian Q. Hutchings
2/25/14 ross.finlayson@gmail.com
2/25/14 ross.finlayson@gmail.com
2/26/14 Leo Sgouros
2/26/14 ross.finlayson@gmail.com
2/26/14 William Elliot
3/1/14 Dan Christensen
3/2/14 Brian Q. Hutchings
2/26/14 thenewcalculus@gmail.com
2/26/14 Dan Christensen
2/26/14 thenewcalculus@gmail.com
2/26/14 Dan Christensen
2/26/14 Virgil
2/26/14 Dan Christensen
2/26/14 Martin Shobe
2/26/14 ross.finlayson@gmail.com
2/27/14 Dan Christensen
2/27/14 Martin Shobe
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Virgil
2/26/14 thenewcalculus@gmail.com
2/26/14 Dan Christensen
2/26/14 thenewcalculus@gmail.com
2/26/14 Dan Christensen
2/26/14 thenewcalculus@gmail.com
2/26/14 Dan Christensen
2/26/14 Brian Q. Hutchings
2/26/14 mueckenh@rz.fh-augsburg.de
2/26/14 Dan Christensen
2/26/14 mueckenh@rz.fh-augsburg.de
2/26/14 Dan Christensen
2/26/14 Brian Q. Hutchings
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Virgil
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Dan Christensen
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Dan Christensen
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 fom
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Tanu R.
2/27/14 Tanu R.
2/28/14 Virgil
2/27/14 Virgil
2/27/14 Tanu R.
2/27/14 fom
2/27/14 thenewcalculus@gmail.com
2/28/14 Virgil
2/28/14 mueckenh@rz.fh-augsburg.de
2/28/14 Virgil
2/28/14 mueckenh@rz.fh-augsburg.de
2/28/14 Virgil
2/28/14 fom
2/27/14 Virgil
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Tanu R.
2/27/14 thenewcalculus@gmail.com
2/27/14 Virgil
2/26/14 Virgil
2/26/14 mueckenh@rz.fh-augsburg.de
2/26/14 Virgil
2/26/14 Dan Christensen
2/26/14 fom
2/26/14 mueckenh@rz.fh-augsburg.de
2/26/14 fom
2/26/14 Dan Christensen
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Virgil
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Virgil
2/27/14 Dan Christensen
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 fom
2/27/14 Peter Percival
2/27/14 fom
2/27/14 Peter Percival
2/27/14 fom
2/27/14 thenewcalculus@gmail.com
4/7/14 Aatu Koskensilta
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Virgil
2/26/14 Virgil
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Virgil
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Virgil
2/26/14 thenewcalculus@gmail.com
2/26/14 Brian Q. Hutchings
2/26/14 Virgil
2/26/14 mueckenh@rz.fh-augsburg.de
2/26/14 Virgil
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Virgil
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Virgil
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Tanu R.
2/26/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Martin Shobe
2/27/14 thenewcalculus@gmail.com
2/27/14 Martin Shobe
2/27/14 thenewcalculus@gmail.com
2/27/14 thenewcalculus@gmail.com
2/27/14 thenewcalculus@gmail.com
2/27/14 Martin Shobe
2/27/14 thenewcalculus@gmail.com
2/27/14 Martin Shobe
2/27/14 thenewcalculus@gmail.com
2/27/14 Martin Shobe
2/27/14 thenewcalculus@gmail.com
2/28/14 Martin Shobe
2/28/14 thenewcalculus@gmail.com
2/28/14 Martin Shobe
2/28/14 John Gabriel
2/28/14 Martin Shobe
2/28/14 John Gabriel
2/28/14 Sal Honda
2/27/14 Wizard-Of-Oz
2/27/14 fom
2/27/14 thenewcalculus@gmail.com
2/27/14 fom
2/27/14 mueckenh@rz.fh-augsburg.de
2/27/14 Wizard-Of-Oz
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/28/14 Wizard-Of-Oz
2/28/14 thenewcalculus@gmail.com
2/28/14 Wizard-Of-Oz
2/28/14 Dan Christensen
2/28/14 Wizard-Of-Oz
2/28/14 Wizard-Of-Oz
2/28/14 Wizard-Of-Oz
2/28/14 thenewcalculus@gmail.com
2/28/14 Wizard-Of-Oz
2/27/14 thenewcalculus@gmail.com
2/27/14 thenewcalculus@gmail.com
2/27/14 thenewcalculus@gmail.com
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/27/14 Dan Christensen
2/28/14 thenewcalculus@gmail.com
2/28/14 Dan Christensen
2/27/14 thenewcalculus@gmail.com
2/28/14 Dan Christensen
2/28/14 thenewcalculus@gmail.com
2/28/14 Dan Christensen
2/28/14 John Gabriel
2/28/14 Dan Christensen
2/28/14 John Gabriel
2/28/14 fom
2/28/14 John Gabriel
2/28/14 fom
2/28/14 John Gabriel
2/28/14 Dan Christensen
2/28/14 Wizard-Of-Oz
2/28/14 John Gabriel
2/28/14 Harman Kardan
2/28/14 John Gabriel
2/28/14 Wizard-Of-Oz
2/28/14 Johnny Oiler
3/1/14 thenewcalculus@gmail.com
3/1/14 Dan Christensen
3/1/14 thenewcalculus@gmail.com
3/1/14 Dan Christensen
3/1/14 thenewcalculus@gmail.com
3/1/14 Dan Christensen
3/1/14 thenewcalculus@gmail.com
3/1/14 Dan Christensen
3/1/14 thenewcalculus@gmail.com
3/2/14 Wizard-Of-Oz
3/1/14 Dan Christensen
3/2/14 Dan Christensen
3/1/14 Wizard-Of-Oz
3/1/14 thenewcalculus@gmail.com
3/2/14 Wizard-Of-Oz
3/1/14 thenewcalculus@gmail.com
3/1/14 thenewcalculus@gmail.com
3/2/14 Dan Christensen
3/2/14 thenewcalculus@gmail.com
3/2/14 Dan Christensen
3/2/14 John Gabriel
3/2/14 Wizard-Of-Oz
3/2/14 Dan Christensen
3/2/14 thenewcalculus@gmail.com
3/2/14 Dan Christensen
3/2/14 thenewcalculus@gmail.com
3/2/14 Dan Christensen
3/2/14 thenewcalculus@gmail.com
3/2/14 Dan Christensen
3/2/14 John Gabriel
3/2/14 Dan Christensen
3/3/14 John Gabriel
3/3/14 Dan Christensen
3/3/14 Wizard-Of-Oz
3/3/14 thenewcalculus@gmail.com
3/3/14 Virgil
3/2/14 Wizard-Of-Oz
3/2/14 thenewcalculus@gmail.com
3/2/14 JÃÂ¼rgen R.
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3/3/14 New Balance
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3/4/14 thenewcalculus@gmail.com
3/4/14 thenewcalculus@gmail.com
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3/4/14 Dan Christensen
3/5/14 thenewcalculus@gmail.com
3/5/14 Dan Christensen
3/5/14 thenewcalculus@gmail.com
3/4/14 ross.finlayson@gmail.com
3/5/14 ross.finlayson@gmail.com
3/5/14 Dan Christensen
3/5/14 ross.finlayson@gmail.com
3/5/14 Brian Q. Hutchings
3/5/14 Dan Christensen
3/5/14 thenewcalculus@gmail.com
3/5/14 Dan Christensen
3/5/14 thenewcalculus@gmail.com
3/5/14 Dan Christensen
3/5/14 Dan Christensen
3/5/14 thenewcalculus@gmail.com
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3/6/14 thenewcalculus@gmail.com
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3/6/14 thenewcalculus@gmail.com
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3/6/14 New Balance
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3/6/14 Brian Q. Hutchings
3/5/14 thenewcalculus@gmail.com
3/5/14 Dan Christensen
3/5/14 thenewcalculus@gmail.com
3/5/14 Dan Christensen
3/5/14 Peter Percival
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3/5/14 Martin Shobe
3/5/14 Wizard-Of-Oz
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3/5/14 Wizard-Of-Oz
3/5/14 thenewcalculus@gmail.com
3/6/14 Dan Christensen
3/6/14 thenewcalculus@gmail.com
3/6/14 thenewcalculus@gmail.com
3/11/14 thenewcalculus@gmail.com
3/11/14 Wizard-Of-Oz
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3/11/14 Martin Shobe
3/11/14 thenewcalculus@gmail.com
3/11/14 thenewcalculus@gmail.com
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3/11/14 Martin Shobe
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