**Course.**

Math 116A Fall 2019

10:30 - 11:55 TR, 187 Linde Hall

**Instructor.**

Aristotelis Panagiotopoulos

Office: 102 Linde Hall
*panagio at caltech.edu*
**Office hours.**
Wednesdays 4-5pm(but feel free to knock my door or send email!)

**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";

see also
**
What is elementary geometry?
**

**Homework.**

**HW1.** (Solutions)

**HW2.** (Solutions)

**HW3.** (Solutions)

**HW4.** (Solutions)

**HW5.** (Solutions)

**Home.**
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