> On Jul 16, 2023, at 9:04 PM, Marshall Stoner <[email protected]> wrote:

>  I do have a good text on ZFC set theory ("Axiomatic Set Theory" by Suppes) 
> and have taken a class on that a long time ago.  It just isn't super formal 
> and doesn't cover logic or proof theory at all.  I'd like to find a better 
> introduction to logic but I'd hate to buy a clone of Mendelson.  It's tough 
> to tell how good a text is based on reviews.

It's not exactly what you're looking for, but you might find this paper 
interesting, which tries to justify the ZFC axioms:

Believing the Axioms. Penelope Maddy. The Journal of Symbolic Logic, 
Vol.53,No.2.(Jun.,1988),pp.481-511.
https://www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms1.pdf

It sounds like you're looking for something similar for predicate and 
propositional logic.

--- David A. Wheeler

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