Philosophy of Mathematics and Ontological Commitment

Abstract

This paper concerns Quine's classification of philosophies of mathematics as sketched in "On what there is" and offers a new reading of Quine's view. In his famous paper Quine defines three positions: Realism, Conceptualism, and Nominalism. Each of them, he says, has its modern expression, respectively, in Logicism, Intu itionism, and Formalism. According to Quine these foundational