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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: 1,616
Registered: 11/1/13
Re: Infinity: The Story So Far
Posted: Feb 27, 2014 1:32 PM
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On Thursday, 27 February 2014 20:27:09 UTC+2, Martin Shobe wrote:
> On 2/27/2014 12:17 PM, John Gabriel wrote:
>

> > 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.
>
> >
>
>
>
> Sure you can. Look at the only axiom that mentions addition. It says,
>
> "The sum (or addition) of two numbers is that number whose difference
>
> with either of the two numbers is either of the two numbers." One of the
>
> two numbers being added is 3 and the difference between 6 and 3 is 3,
>
> which is also one of the two numbers. It thereby fits your axioms.
>
>
>
> Martin Shobe


Look imbecile. If you have the wrong sum, then all bets are off. Schmuck!!!


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