A proof of completeness as well as some applications, and a proof of compactness.
These videos are a companion to the textbook by Rautenberg, A Concise Introduction to Mathematical Logic: https://link.springer.com/book/10.1007/978-1-4419-1221-3
A link to the playlist: https://youtube.com/playlist?list=PLcwjc2OQcM4usoBzVwXNytSiQy1t1tpkK
0:00 Intro
0:10 Cons' to Sat'bl'
6:21 Completeness
8:06 Finite Entailment
8:54 Compactness
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Mathematical Logic 12, Completeness and Compactness | NatokHD