Just as technical texts, Acessible Categories by Makkai-Paré Makkai and Paré and Locally Presentable and Accessible Categories by Adamek and Rosicky are extremely useful even for non-logicians (they are a natural extension of the material in SGA4.1.i on colimits of functors indexed by "ensembles ordonné grand devant $\alpha$", which are now called $\alpha$-filtered colimits), but additionally, they cover a categorical approach to model theory that is also supposed to be pretty interesting (although I haven't read those parts of the books, I've heard good things from a number of people, including François Dorais (indirectly), who is one of our benevolent moderators).
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Just as technical texts, Acessible Categories by Makkai-Paré and Locally Presentable and Accessible Categories by Adamek and Rosicky are extremely useful even for non-logicians (they are a natural extension of the material in SGA4.1.i on colimits of functors indexed by "ensembles ordonné grand devant $\alpha$", which are now called $\alpha$-filtered colimits), but additionally, they cover a categorical approach to model theory that is also supposed to be pretty interesting (although I haven't read those parts of the books, I've heard good things from a number of people, including François Dorais (indirectly), who is one of our benevolent moderators). |
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