Search results for "Maddy"
showing 2 items of 2 documents
For a Philosophy of Mathematical Practice
2010
It is a fact that of the logicist, the intuitionist, and Hilbert's programmes, the classical programmes set up to establish mathematics on safe foundations, some have failed, whereas others have long since lost their propulsive force. Two of the consequences of the crisis of the classical programmes in the foundations of mathematics were: a widespread scepticism towards the possibility of establishing the certainty of mathematical methods, and a new attention paid to mathematical practice. The main aim of this article is that of individuating some directions of research along which to develop a tenable philosophy of mathematical practice.
Husserl's Transcendentalization of Mathematical Naturalism
2020
Abstract The paper aims to capture a form of naturalism that can be found “built-in” in phenomenology, namely the idea to take science or mathematics on its own, without postulating extraneous normative “molds” on it. The paper offers a detailed comparison of Penelope Maddy’s naturalism about mathematics and Husserl’s approach to mathematics in Formal and Transcendental Logic (1929). It argues that Maddy’s naturalized methodology is similar to the approach in the first part of the book. However, in the second part Husserl enters into a transcendental clarification of the evidences and presuppositions of the mathematicians’ work, thus “transcendentalizing” his otherwise naturalist approach t…