Husserl''s Philosophy of Mathematical Practice

Husserl's Philosophy of Mathematical Practice explores the applicability of the phenomenological method to philosophy of mathematical practice. The first section elaborates on Husserl's own understanding of the method of radical sense-investigation (Besinnung), with which he thought the mathematics of his time should be approached. The second section shows how Husserl himself practiced it, tracking both constructive and platonistic features in mathematical practice. Finally, the third section situates Husserlian phenomenology within the contemporary philosophy of mathematical practice, where the examined styles are more diverse. Husserl's phenomenology is presented as a method, not a fixed doctrine, applicable to study and unify philosophy of mathematical practice and the metaphysics implied in it. In so doing, this Element develops Husserl's philosophy of mathematical practice as a species of Kantian critical philosophy and asks after the conditions of possibility of social and self-critical mathematical practices.

List of contents

Introduction; 1. 'Back to the things themselves' ; 2. Husserl's phenomenology of mathematical practice; 3. A phenomenological philosophy of mathematics; Conclusion: unity and the mathematical practices; References.

Summary

This Element explores Husserl's phenomenological method, focusing on radical sense-investigation and its application in mathematical practice. It presents Husserlian phenomenology as a method, not a fixed doctrine, and unifies it with contemporary philosophy of mathematical practice.

Foreword

This Element shows how Husserl's phenomenological method can be used in philosophy of mathematical practice.

Product details

• Authors: Mirja Hartimo, Mirja (University of Helsinki) Hartimo, Hartimo Mirja
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.01.2025
• EAN: 9781009517072
• ISBN: 978-1-0-0951707-2
• No. of pages: 74
• Series: Elements in the Philosophy of Mathematics
• Subjects: Non-fiction book > Philosophy, religion > Philosophy: general, reference works; PHILOSOPHY / General, Philosophy: metaphysics & ontology, Philosophy of Mathematics, Philosophy: metaphysics and ontology, Philosophy: epistemology & theory of knowledge, Phenomenology & Existentialism, Phenomenology and Existentialism, Philosophy: epistemology and theory of knowledge