ABSTRACT
Mark van Atten reviews Stefania Centrone’s Logic and Philosophy of Mathematics in the Early Husserl, which addresses Husserl’s technical ideas on mathematics and logic. By ‘the early Husserl’ Centrone means primarily Husserl in the period from the Philosophy of Arithmetic (1891) to the Logical Investigations (1900/1901). The review focuses on what in the reviewer’s opinion are the two most important systematic claims in the book: the claim that in the Philosophy of Arithmetic, Husserl defines the class now known as that of the partially recursive functions, and the claim that the notion of (relative) definiteness of an axiom system is to be understood as its syntactical completeness.
