Edmund Husserl’s Philosophy of Arithmetic
The City University of New York
Edmund Husserl, the principal founder of phenomenology, is well known for his contributions to philosophy. What is less known is his early work in mathematics. Husserl studied under Kronceker and Weierstrass in Berlin, and got his Ph.D. in 1883 in Vienna working on the calculus of variations under supervision of Leo Königsberger. Under influence of Franz Brentano, he moved to philosophy, and in from 1901 to 1916 he taught philosophy in Göttingen, where he interacted with Hilbert. In “Logic and Philosophy of Mathematics in the Early Husserl” Springer 2010, Stefania Centrone analyses Husserl’s work on foundations of mathematics from that period, and shows its connections to Hilbert’s ideas. I will say a few words about phenomenology, and I’ll talk about fragments of Husserl’s “Philosophy of Arithmetic.”
Roman Kossak is professor of mathematics at The City University of New York, at Bronx Community College and also at the CUNY Graduate Center. He conducts research in mathematical logic, especially in model theory of Peano Arithmetic.