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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.
5
votes
1
answer
949
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Elementary end extension of a countable model for ZF
Theorem 2.2.18 in Chang and Kiesler uses omitting types to show that any countable model of ZF has an elementary end extension.
Can we control the countable order type of such a model? for example, if …
12
votes
7
answers
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Use of indiscernibles in model theory
What is the main use of indiscernibles in model theory? reading through Chang and Keisler's Model Theory it seems that the main motivation for indicernibles is for getting many non-isomorphic models f …
6
votes
7
answers
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Compactness Theorem for First Order Logic
Hi all,
I am interested in proofs without using Goedel's completeness theorem.
Does anyone have a reference to a proof of this theorem that uses Skolem Functions?
How come Enderton's (Introduction t …