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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.
8
votes
Comparing the existing formulations of universal algebra and their levels of generality
fosco gives a good overview of the general theory in their answer. I would like to point out two different generalisations of algebraic theory that are not, as far as I am aware, subsumed by any of th …
5
votes
Is the ultraproduct concept fundamentally category-theoretic?
There are already several answers describing how ultraproducts arise naturally from categorical considerations. However, I don't think any of them address this part of the question:
I would be very i …