Date: Mar 15, 2013 4:21 AM
Author: Graham Cooper
Subject: Re: Number of variables needed to axiomatize first order predicate calculus?
On Mar 13, 5:56 pm, George Greene <gree...@email.unc.edu> wrote:
> On Mar 9, 7:20 am, Rupert <rupertmccal...@yahoo.com> wrote:
> > I can't see how an axiomatisation of first-order predicate calculus
> > using a finite number of individual variables would ever do justice
> > to all of the first-order predicate calculus.
> > There's no finite upper bound on the number of individual variables that can occur in a formula.
> That's not really a reasonable objection.
> There is no finite upper bound on the number of propositional letters
> that can occur in a proposition EITHER,
> yet they handled it. Obviously you would handle THAT in basically the
> same way, with a class of variables
> ranging over all formulas.
Use words, not letters!