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Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.

2 votes

Reference Request: Non-Standard Models of PA

Peter Smith has a pretty good handout on Tennenbaum's theorem that I found useful when learning that material. As others have mentioned, Richard Kaye's Models of Peano Arithmetic is the go-to referenc …
Benedict Eastaugh's user avatar
10 votes

Book recommendation introduction to model theory

I quite like Wilfrid Hodges's A Shorter Model Theory (Cambridge University Press, 1997). It covers all the topics you mention, while also tackling a few more advanced ones in the final chapter. The bo …
Benedict Eastaugh's user avatar