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Model theory looks super complicated, what is a good simple book I can read, even if no exhaustive, that can help me understand more advanced textbooks? (I need it for self study)

  • I haven't read this, but it looks quite basic: https://www.amazon.co.uk/Invitation-Model-Theory-Jonathan-Kirby/dp/1316615553/ – Angina Seng Sep 03 '20 at 15:13
  • There are some MSE posts about this; see for example 1 and 2. As you can see in the answers, Marker's book is usually a top choice. – Rick Sep 03 '20 at 17:52

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A good introduction to the subject for me has been David Marker's Model Theory: an Introduction. What I appreciate about the book is his application of the abstract theory to more "concrete" algebraic examples, such as dense linear orders or fields.

dbossaller
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    I agree with your latter point. However, IMHO, it is not $\textit{that}$ basic, for someone who's looking for a first book. – FiMePr Sep 05 '20 at 07:46
  • You are probably right, I'm just not aware of much outside of that book or other really specialized books which are inappropriate for a beginner. – dbossaller Sep 05 '20 at 16:46