Course 8

A Short Introduction to Main and Alternative Perspectives on the Philosophy of Mathematics – Part II

Fernando Zalamea
National University of Colombia
fernandozalamea@gmail.com

Abstract

In this course the following topics will be analyzed: analytical philosophy on classical logic and set theory – the Anglo-Saxon School; synthetic philosophy on sheaf logic and category theory – the French School; around alternative perspectives and da Costa’s vision in particular; a new model for the philosophy of mathematics – Riemann surfaces over a topos of sheaves over Kripke models (RTSK).