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Message from discussion Quantifier free sets
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Frederick Williams  
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 More options Sep 26 2012, 3:59 pm
Newsgroups: sci.logic, sci.math
From: Frederick Williams <freddywilli...@btinternet.com>
Date: Wed, 26 Sep 2012 20:59:22 +0100
Local: Wed, Sep 26 2012 3:59 pm
Subject: Re: Quantifier free sets
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Dan Christensen wrote:

> On Sep 26, 11:08 am, Zuhair <zaljo...@gmail.com> wrote:
> > On Sep 26, 4:37 pm, Dan Christensen <Dan_Christen...@sympatico.ca>
> > wrote:

> > > On Sep 25, 7:57 am, Zuhair <zaljo...@gmail.com> wrote:

> > > > I want to construct sets in a manner that is quantifier free.

> > > What is your motivation? What's wrong with quantifiers? They are easy
> > > to use and make perfect sense to me.

> > > Aren't you just introducing an alternate notation to express Ax P(x)
> > > and Ex P(x)? Or are you somehow restricting FOL? Or are you
> > > introducing new possibilities?

> > Yes the language of this theory is a restriction of FOL, it is
> > quantifier free FOL. I wanted sets to be defined in this language. My
> > motivation is that this can be done easily in the finite realm so I
> > wanted to formalize this.

> Again, what do you see as the problem with the usual quantifiers?

Isn't it more a case of Zuhair seeing something positive in PRA, viz
that it is thought to capture finitistic reasoning and is therefore
"safe"?

--
Where are the songs of Summer?--With the sun,
Oping the dusky eyelids of the south,
Till shade and silence waken up as one,
And morning sings with a warm odorous mouth.


 
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