6533b834fe1ef96bd129e2eb

RESEARCH PRODUCT

Husserl's Transcendentalization of Mathematical Naturalism

Mirja Hartimo

subject

transsendentaalifilosofiamathematical naturalismmatematiikkatieteenfilosofiaPhilosophy010102 general mathematicsfenomenologiaMaddy Penelope0102 computer and information sciencesModern philosophy01 natural sciencesLiberal naturalismEpistemologytranscendental phenomenology611 PhilosophyHusserl Edmundnaturalismi (filosofia)010201 computation theory & mathematics0101 mathematicsHistory of philosophyliberal naturalismNaturalism

description

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 to mathematics. The result is a moderately revisionist view that takes the existing mathematical practices seriously, calls for reflection on them, and eventually gives suggestions for revisions if needed.

10.1515/jtph-2019-0007http://hdl.handle.net/10138/355019