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Mathematical Logic (Math 570) Lecture Notes

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Mathematical Logic (Math 570) Lecture NotesLou van den DriesFall Semester 2019Contents1 Mathematical Logic : a brief overview . . . . . . . . . . . . . . . . Sets and Maps . . . . . . . . . . . . . . . . . . . . . . . . . . . .52 Basic Concepts of Propositional Logic . . . . . . . . . . . . . . . . . . . . . . . . . . Completeness for Propositional Logic . . . . . . . . . . . . . . . . Languages and Structures . . . . . . . . . . . . . . . . . . . . . . Variables and Terms.

Lecture Notes Lou van den Dries Fall Semester 2019. Contents 1 Preliminaries 1 ... Once we have mathematical de nitions of these notions, we can try to prove theorems about these formalized notions. If done with imagination, this process can lead to unexpected rewards. Of course, formalization tends to caricature

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