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Re: [ontolog-forum] Search engine for the ontology

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Christopher Menzel <cmenzel@xxxxxxxx>
Date: Sun, 2 Mar 2008 16:39:10 -0600
Message-id: <6B134EB5-2716-41F4-9C73-449CBA9256BD@xxxxxxxx>
On Mar 2, 2008, at 3:47 PM, Chris Menzel wrote:
> It is immediate from this fact thatGoedel's result applies to any  
> *first-order* system that contains the bit of number theory (now  
> often called Robinson Arithmetic) needed to code its proof theory --  
> basically, this means just a couple of axioms for 0 and the  
> successor function ("0 is no number's successor"; "numbers with the  
> same successor are identical")    (01)

Forgot one: "every number other than 0 is the successor of some number".    (02)

> and the usual axioms for arithmetic and multiplication ("x+0=x", "x 
> +fy = f(x+y)", "x*0=0", "x*fy = x*(x*y)").    (03)

arithmetic ==> addition    (04)

-chris    (05)

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