Re: Nonfirstorderizability



Michael De wrote:

> So I guess my interpretation is incorrect since arithmetic is not
> essential in cooking up the models.

Being incorrect is OK; By raising your points and making your
hypotheses here, you make it possible for many besides yourself to
learn about them.

In that light, I was wondering: when you have time (ie, when the real
discussion is over), would you mind explaining to a simple lay person
why the Geach-Kaplan sentence cannot be 'firstorderized' as:

ExEyAz((Cx & Cy) & (Axy & Ayx) & (Axz -> z=y) & (Ayz -> z=x))
(Ca =df. a is a critic; Aab =df. a admires b)?

Or refer me to a weblink, if that's easier.

.



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