Math 116A Fall 2017
1:00-2:25 TR, B127 GCL
Building 15, office 210-5
panagio at caltech.edu
Office hours. Thursdays 4:30-5:30 (at office 210-5, Building 15)
Syllabus. We will cover various topics in first-order logic and model theory, such as: Gödel's Completeness Theorem and Compactness Theorem; definability, elementary equivalence, complete theories, categoricity; the Skolem-Löwenheim Theorems; the Back and Forth Method and Ehrenfeucht-Fraïssé games; Fraïssé theory; elimination of quantifiers. We will also discuss applications to algebra and other areas of mathematics.
This is the first part in a three-term sequence of courses which provides an introduction to the basic concepts and results of mathematical logic and set theory.
Book. We will follow David Marker's "Model Theory: An introduction".
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