Introducción a la Filosofía Matemática

Por Jorge Luis Fabra Zamora (

Próximamente en Coursera. Más info, aquí.

Introduction to Mathematical Philosophy

Hannes Leitgeb and Stephan Hartmann

Learn how to apply mathematical methods to philosophical problems and questions.

Next Session:
July 2013 (8 weeks long)Sign Up
Workload: 2-3 hours/week 

About the Course

Since antiquity, philosophers have questioned the foundations--the foundations of the physical world, of our everyday experience, of our scientific knowledge, and of culture and society. In recent years, more and more young philosophers have become convinced that, in order to understand these foundations, and thus to make progress in philosophy, the use of mathematical methods is of crucial importance. This is what our course will be concerned with: mathematical philosophy, that is, philosophy done with the help of mathematical methods.
As we will try to show, one can analyze philosophical concepts much more clearly in mathematical terms, one can derive philosophical conclusions from philosophical assumptions by mathematical proof, and one can build mathematical models in which we can study philosophical problems.
So, as Leibniz would have said: even in philosophy, calculemus. Let's calculate.

Course Syllabus

Week One: Infinity.
Week Two: Truth.
Week Three: Rational belief.
Week Four: If-then.
Week Five: Confirmation.
Week Six: Decision.
Week Seven: Voting.
Week Eight: Quantum Logic.

Recommended Background

We will not presuppose more than bits of high school mathematics.

Suggested Readings

We will give you lists of additional references later in the course.

Course Format

The class will consist of lecture videos, which are between 8 and 12 minutes in length. These contain 1-2 integrated quiz questions per video.


Will I get a Statement of Accomplishment after completing this class?Yes. Students who successfully complete the class will receive a Statement of Accomplishment signed by the instructors.