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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 26, 2014 9:49 PM
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On Wednesday, 26 February 2014 21:44:49 UTC+2, fom wrote:
> On 2/26/2014 11:43 AM, mueckenh@rz.fh-augsburg.de wrote:
>

> > On Wednesday, 26 February 2014 18:14:51 UTC+1, Dan Christensen wrote:
>
> >> On Wednesday, February 26, 2014 11:58:07 AM UTC-5, John Gabriel wrote:
>
> >>
>
> >>
>
> >>
>
> >>>>>>> In your write-up, next(a) is meaningless garbage.
>
> >>
>
> >>>
>
> >>
>
> >>>>>> It is a successor function on the set of natural numbers. Got a problem with that?
>
> >>
>
> >>>
>
> >>
>
> >>>>> Yes, because then you already assume the prior existence of natural numbers.
>
> >>
>
> >>>
>
> >>
>
> >>>> Again, unless you want to rule out the existence of infinite sets altogether, the existence of the natural numbers is not problematic. See my previous posting above.
>
> >>
>
> >>>
>
> >>
>
> >>>
>
> >>
>
> >>> This is what you claim:
>
> >>
>
> >>>
>
> >>
>
> >>>
>
> >>
>
> >>>
>
> >>
>
> >>> The Definition of the set of natural numbers is given by nothing more or less than Peano's Axioms.
>
> >>
>
> >>>
>
> >>
>
> >>>
>
> >>
>
> >>>
>
> >>
>
> >>> It is false. The Peano axioms assume the prior existence of natural numbers.
>
> >>
>
> >>
>
> >>
>
> >> The Peano axioms describe structures that are embedded in EVERY infinite set.
>
> >
>
> > For matheologians who believe in uncountable sets, you should say more precisely: every countably infinite set. That is correct. The set of natural numbers however is not every countable set but a very special countable set. The Peano axioms fail to produce this set because they are too general. They produce the set 1, S1, SS1, ...
>
> > Some of the many sets produced are
>
> > 1, 1s, 1ss, ...
>
> > 1, 11, 111, ...
>
> > 1, 1^1, 1^1^1, ...
>
> > and if someone happens to have defined, or simply to know, the natural numbers, then they produce also
>
> > 1, 1/2, 1/3, ...
>
> > 1, 1^2, 1^3, ...
>
> > and with good luck
>
> > 1, 2, 3, ...
>
> >
>
> > Regards, WM
>
> >
>
>
>
> A little bit of humor today?
>
>
>
> :-)


Hey idiot, Don't misquote me. I never wrote the second half of that comment.



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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ross.finlayson@gmail.com
2/26/14
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Leo Sgouros
2/26/14
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ross.finlayson@gmail.com
2/26/14
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William Elliot
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
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
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thenewcalculus@gmail.com
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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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mueckenh@rz.fh-augsburg.de
2/27/14
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2/26/14
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thenewcalculus@gmail.com
2/26/14
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2/26/14
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thenewcalculus@gmail.com
2/26/14
Read Re: Infinity: The Story So Far
Dan Christensen
2/26/14
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2/26/14
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2/26/14
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Brian Q. Hutchings
2/26/14
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mueckenh@rz.fh-augsburg.de
2/26/14
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2/26/14
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mueckenh@rz.fh-augsburg.de
2/26/14
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2/26/14
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2/27/14
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mueckenh@rz.fh-augsburg.de
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2/27/14
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mueckenh@rz.fh-augsburg.de
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fom
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mueckenh@rz.fh-augsburg.de
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2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
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2/27/14
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mueckenh@rz.fh-augsburg.de
2/27/14
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2/26/14
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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
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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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2/28/14
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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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2/27/14
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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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Wizard-Of-Oz
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
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
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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
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2/28/14
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2/28/14
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Wizard-Of-Oz
2/28/14
Read Difference between postulate and axiom.
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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
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Johnny Oiler
3/1/14
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thenewcalculus@gmail.com
3/1/14
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3/1/14
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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
Read Re: Infinity: The Story So Far
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.
thenewcalculus@gmail.com
3/2/14
Read Re: How I established my axioms.
Jürgen R.
3/2/14
Read Re: How I established my axioms.
thenewcalculus@gmail.com
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
thenewcalculus@gmail.com
3/4/14
Read Re: Infinity: The Story So Far
ross.finlayson@gmail.com
3/5/14
Read Re: Infinity: The Story So Far
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".
thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
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
3/5/14
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
Dan Christensen
3/5/14
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
Read Re: No need for spaghetti "axioms".
thenewcalculus@gmail.com
3/5/14
Read Re: No need for spaghetti "axioms".
YBM
3/6/14
Read Re: No need for spaghetti "axioms".
New Balance
3/6/14
Read Re: No need for spaghetti "axioms".
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!
thenewcalculus@gmail.com
3/5/14
Read Re: Peano's rot in action for you!
Dan Christensen
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!
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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