# Instructor Class Description

Time Schedule:

**Bob Alan Dumas**

PHIL 473

Seattle Campus

### Philosophy of Mathematics

Study of the traditional accounts of the nature of mathematical entities and mathematical truth given by logicism, intuitionism, and formalism, and the impact of Godel's incompleteness theorems on these accounts.

**Class description**

Study of the traditional accounts of the nature of mathematical entities and mathematical truth given by logicism, intuitionism, and formalism, and the impact of Godel's incompleteness theorems and modern advances in Mathematical Logic on these accounts. We will investigate the epistemology of mathematics, contrasting Platonist, empiricist and structural conceptions and focusing on the role of proof in mathematical understanding. We will cover Tarski's definition of truth, model theory and structuralism. Finally, we will take up some special topics, including recent discussions by Woodin, Maddy and others regarding set theory as a foundation for mathematics, the Axiom of Choice, the Continuum Hypothesis, generic absoluteness and constructability.
TEXTS: Philosophy of Mathematics, Paul Benacerraf and Hilary Putnam; Transition to Higher Mathematics, Dumas-McCarthy.

**Student learning goals**

**General method of instruction**

**Recommended preparation**

**Class assignments and grading**

*The information above is intended to be helpful in choosing courses. Because the instructor may further develop his/her plans for this course, its characteristics are subject to change without notice. In most cases, the official course syllabus will be distributed on the first day of class.*

Last Update by Annette R. Bernier

Date: 06/28/2010