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Re: Number of variables needed to axiomatize first order predicate calculus?
Posted:
Mar 15, 2013 4:21 AM
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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!
Herc --
www.BLoCKPROLOG.com
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