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Topic: § 454 Equality and the axioms of natural numbers
Replies: 30   Last Post: Mar 23, 2014 2:41 PM

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Dan Christensen

Posts: 2,242
Registered: 7/9/08
Re: § 454 Equality and the axioms of natural numb
ers

Posted: Mar 22, 2014 2:57 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Friday, March 21, 2014 2:41:17 AM UTC-4, muec...@rz.fh-augsburg.de wrote:
> On Thursday, 20 March 2014 22:35:55 UTC+1, Dan Christensen wrote:
>
>
>

> > The real numbers can also be constructed from Peano's axioms.
>
>
>
> That was not the question.
>
>
>

> > It should be
>
> > possible to prove than no irrational number is equal to a natural number.
>
>
>
> That was not the question.
>


You wanted to know if it was possible to prove, starting from Peano's axioms, that pi (or any other irrational number?) is not equal to a natural number.


>
>
> The question was: If the five truncated Peano axioms, not more and not less, define the natural numbers, as you said, what part of the axioms excluded that pi is a natural number?
>


You are grasping at straws, WM. Again, the Peano axioms are just the 5 essential properties of the natural numbers from which it seems all others can be derived.

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
3/20/14
Read § 454 Equality and the axioms of natural numbers
heinrich.schliemann.ii@googlemail.com
3/20/14
Read Re: § 454 Equality and the axioms of natural numb
ers
JT
3/20/14
Read Re: § 454 Equality and the axioms of natural numb
ers
JT
3/20/14
Read Re: § 454 Equality and the axioms of natural numb
ers
JT
3/20/14
Read Re: § 454 Equality and the axioms of natural numbers
Dan Christensen
3/20/14
Read Re: § 454 Equality and the axio
ms of natural numbers
Robin Chapman
3/21/14
Read Re: § 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/21/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/21/14
Read Re: § 454 Equality and the axioms of natural numbers
Ralf Bader
3/20/14
Read Re: § 454 Equality and the axioms of natural numbers
Dan Christensen
3/20/14
Read Re: § 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/20/14
Read Re: § 454 Equality and the axioms of natural numbers
Dan Christensen
3/20/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/21/14
Read Re: § 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/21/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/21/14
Read Re: § 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/21/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/21/14
Read Re: § 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/21/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/22/14
Read Re: § 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/22/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/22/14
Read Re: § 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/22/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/23/14
Read Re: ß 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/23/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/22/14
Read Re: § 454 Equality and the axioms of natural numb
ers
Dan Christensen
3/22/14
Read Re: § 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/22/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/23/14
Read Re: § 454 Equality and the axioms of natural numb
ers
mueckenh@rz.fh-augsburg.de
3/23/14
Read Re: � 454 Equality and the axioms of natural numbers
Virgil
3/23/14
Read Re: § 454 Equality and the axioms of natural numb
ers
Brian Q. Hutchings

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