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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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mueckenh@rz.fh-augsburg.de

Posts: 15,048
Registered: 1/29/05
Re: ß 454 Equality and the axioms of natural numb
ers

Posted: Mar 23, 2014 4:57 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Saturday, 22 March 2014 22:38:51 UTC+1, Virgil wrote:


> > > Since "x" and "y" and "f(x) and "f(y)" are merely names, x = y if and
>
> > > only if "x" and "y" are merely different names for the same thing,
>
> > > and f(x) = f(y) if and only if "f(x)" and "f(y)" are merely different
>
> > > names for the same thing.
>
>
>
> What part of the above does WM not understand?


If there are only names, how can someone claim that the Peano axioms define the natural numbers? And how can a man equipped with a healthy brain accept that?

Regards, WM


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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