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Re: [ontolog-forum] Axiomatic ontology

To: Christopher Menzel <cmenzel@xxxxxxxx>, "[ontolog-forum]" <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Avril Styrman <Avril.Styrman@xxxxxxxxxxx>
Date: Fri, 1 Feb 2008 23:32:10 +0200
Message-id: <1201901530.47a38fdac73a1@xxxxxxxxxxxxxxxx>
Chris and Pat,    (01)

one thing you must agree is that arithmetics is about 
operations such as + and -. If one can reason at all,
one has to understand how to use these operations. 
To understand these operations is the same as 
understanding the difference between one rock and 
two rocks. There is nothing more into it.    (02)

Then people created all sorts of formal systems
and wanted to prove everything. None of these 
makes arithmetic any more secure, better, or more 
usable in any way. Still they talk about an
incompleteness and completeness of arithmetics.     (03)

> (*) Not everything can be proved
> is, in the worst case, meaningless and, in the best case, ambiguous  
> (and false either way).  Provability is always relative to a formal  
> system;    (04)

I still understand Gödel's proof as a proof that you 
just cannot govern everything. It is clear even 
without any proof about it. One way to prove that 
all cannot be proved is the simple fact 1+1=2 cannot 
be proved. Or, if you prove it in some formal system, 
then the axioms of that formal system cannot be 
proven true.    (05)

The theorem was a clear blow to some people who
thought that everything can be governed, or 
put under some mathematical axioms. There's
no denying that.    (06)

> All the more ironic that you can parrot an accurate statement of  
> Gödel's Theorem, which you obviously googled, and then reiterate the  
> same muddled paraphrase of it.      (07)

No, this time I copied it directly from Wikipedia :)    (08)

A    (09)

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