Re: Guessing?

From: Brian Selzer <brian_at_selzer-software.com>
Date: Thu, 10 Jul 2008 01:03:40 -0400
Message-ID: <MKgdk.12320$89.6817@nlpi069.nbdc.sbc.com>

"Marshall" <marshall.spight_at_gmail.com> wrote in message news:3c292d53-d4aa-4a87-8c17-7f6e81f9d9c1_at_2g2000hsn.googlegroups.com...
> On Jul 9, 8:36 am, "Brian Selzer" <br..._at_selzer-software.com> wrote:
>>
>> Logical propositions without an intended interpretation are when written
>> just squiggles--something akin to doodles--with no significance or
>> utility
>> whatsoever, and are when spoken just noise--they do not rise even to the
>> level of being a tale told by an idiot: they're just noise.
>
> That turns out not to be the case. Axioms are just sentences in
> a language, for example. A first order theory is just a bunch
> of syntactic statements. There may be a variety of different
> possible interpretations, or models. There may be exactly
> one, or there may be none at all.
>
> http://en.wikipedia.org/wiki/First_order_theory
>
>
> Marshall

I don't think so: axioms are sentences that are suppposed to be true. Truth is determined through interpretation. Therefore, axioms are sentences that are supposed to be true under an interpretation--the intended interpretation. So a logical theory consists of a set of sentences that are supposed to be true under an interpretation along with that which can be derived from those sentences. Received on Thu Jul 10 2008 - 00:03:40 CDT

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