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by cevi 1495 days ago
There's the classic "Believing the Axioms" by Penelope Maddy [0] [1], the excellent study guide "Teach Yourself Logic" [2], plenty of great articles on the Stanford Encyclopedia of Philosophy (e.g. [3] or [4]), Dana Scott's "Lambda Calculus: Some Models, Some Philosophy" [5], and too many other interesting rabbit holes to count (i.e. resolution, unification, cut elimination, nonstandard models of arithmetic...)

[0] https://www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms1.pdf [1] https://www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms2.pdf [2] https://www.logicmatters.net/tyl/ [3] https://plato.stanford.edu/entries/settheory-alternative/ [4] https://plato.stanford.edu/entries/platonism-mathematics/ [5] https://lawrencecpaulson.github.io/papers/Scott-Models.pdf