Transcription of Mathematical Logic (Math 570) Lecture Notes
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Mathematical Logic (Math 570) Lecture Notes
Mathematical Logic (Math 570) Lecture NotesLou van den DriesFall Semester 2019 Contents1 Mathematical Logic : a brief overview .. Sets and Maps ..52 Basic Concepts of Propositional Logic .. Completeness for Propositional Logic .. Languages and Structures .. Variables and Terms .. Formulas and Sentences .. Models .. Logical Axioms and Rules; Formal Proofs .. 383 The Completeness Another Form of Completeness .. Proof of the Completeness Theorem .. Some Elementary Results of Predicate Logic .. Equational Classes and Universal Algebra.
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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