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Jun 14 at 15:37 comment added Alex Kruckman @GregNisbet Probably because Marker does not cover the completeness theorem, which seems to be important to the OP. I think Marker is a great book to use for a first course in model theory, and I've edited my answer to clarify that.
Jun 10 at 3:34 answer added user21820 timeline score: 3
Jun 9 at 17:32 comment added Greg Nisbet I noticed Marker isn't among the answers so far. Any particular reason not to recommend it?
Jun 8 at 21:23 vote accept Ivan Di Liberti
Jun 7 at 20:38 history edited YCor CC BY-SA 4.0
removed capitals from title
Jun 7 at 20:35 answer added Peter LeFanu Lumsdaine timeline score: 12
Jun 7 at 19:59 history became hot network question
Jun 7 at 18:23 answer added Benedict Eastaugh timeline score: 10
Jun 7 at 16:57 comment added Matemáticos Chibchas Is someone besides me still waiting for Rami Grossberg's three volume model theory book? (+20 years)
Jun 7 at 15:07 answer added Alex Kruckman timeline score: 21
Jun 7 at 14:59 comment added Ivan Di Liberti @AlexKruckman, your notes look great! Would you update your comment to an answer?
Jun 7 at 12:38 answer added Ivan Di Liberti timeline score: 9
Jun 7 at 12:18 comment added Alvaro Pintado I highly recommend checking out Peter Smith's Logic Study Guide (logicmatters.net/tyl), which contains a nice overview of many mathematical logic textbooks including model theory textbooks.
Jun 7 at 12:14 answer added Tom Leinster timeline score: 13
Jun 7 at 12:12 history edited Ivan Di Liberti CC BY-SA 4.0
edited title
Jun 7 at 12:11 history edited Per Alexandersson CC BY-SA 4.0
spelling, title
Jun 7 at 12:05 history edited Ivan Di Liberti CC BY-SA 4.0
deleted 5 characters in body
Jun 7 at 11:58 history asked Ivan Di Liberti CC BY-SA 4.0