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Re: how to define Thm in PRA

Subject: Re: how to define Thm in PRA
From: Daryl McCullough
Date: 19 Oct 2006 19:14:26 -0700
Newsgroups: sci.logic
george says...

>If Peter had just said, "Well, I don't need any variables
>in the object-language, but you will need them in the
>meta-language", then we MIGHT've clarified this
>a little sooner.

Alternatively, after reading Peter's post, *you* could
have said "Okay, I agree that you don't need variables
in the object language, but you certainly need something
equivalent to variables in the metalanguage" instead of
shouting profanities.

>But that ultimately would NOT have helped because I would
>NOT have conceded that his alleged meta-language EVEN WAS "meta".

It certainly was.

>Sure, it has two things the object-language doesn't (variables and
>implicit universal quantifiers over them).

>BUT THE DOMAIN of these variables IS THE SAME OBJECTS
>as the object language.

Actually, the metavariables range over *terms* of the
object language.

>That is simply a distinction without a difference.

The difference is that the metalanguage has variables,
and the object language does not.

>Remind me to file this under  "If you curse people out in public then
>they will assume that you didn't know the stuff you got A's in when
>you majored in it.".  JEEzus.

That's right. When you curse people out in public, people assume
that there is something wrong with you.

Of course, people *also* assume that there is something wrong
with you if you continue to try to have civil discussions with
someone who regularly curses people out in public.

--
Daryl McCullough
Ithaca, NY


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