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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.

logic is relatively recent: the 19th century pioneers were Bolzano, Boole, Cantor, ... does not mean that it is of any interest.) ... At this stage we only say by way of explanation that a model of is a mathematical structure in which all sentences of are true. For example, if

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