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

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Chris Menzel <cmenzel@xxxxxxxx>
Date: Mon, 3 Mar 2008 05:52:47 -0600 (CST)
Message-id: <alpine.OSX.1.00.0803030547440.6323@xxxxxxxxxxxxxxx>
On Sun, 2 Mar 2008, Chris Menzel wrote:
> It is immediate from this fact that Goedel'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") and the usual axioms for arithmetic and
> multiplication ("x+0=x", "x+fy = f(x+y)", "x*0=0", "x*fy = x*(x*y)").    (01)

That should of course be "x*fy = x+(x*y)"    (02)

-chris    (03)

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