Phenomenology and Mathematics

ISBN-13: 9789400731967 / Angielski / Miękka / 2012 / 216 str.

Mirja Hartimo

Opis

During Edmund Husserl's lifetime, modern logic and mathematics rapidly developed toward their current outlook and Husserl's writings can be fruitfully compared and contrasted with both 19^th century figures (Boole, Schroder, Weierstrass) as well as the 20^th century characters (Heyting, Zermelo, Godel). Besides the more historical studies, the internal ones on Husserl alone and the external ones attempting to clarify his role in the more general context of the developing mathematics and logic, Husserl's phenomenology offers also a systematically rich but little researched area of investigation. This volume aims to establish the starting point for the development, evaluation and appraisal of the phenomenology of mathematics. It gathers the contributions of the main scholars of this emerging field into one publication for the first time. Combining both historical and systematic studies from various angles, the volume charts answers to the question "What kind of philosophy of mathematics is phenomenology?"

Recenzje

From the reviews:

"Phenomenology and Mathematics is a serious attempt to show phenomenology at work as philosophy of mathematics, and it is remarkably successful in giving an overview of what is going on at the moment in research on Husserl. It surely will serve as a very useful point of departure for many further analyses." (Stefania Centrone, Philosophia Mathematica, Vol. 22 (1), February, 2014)

"The volume Phenomenology and Mathematics contains nine articles based on the presentations given at the 2007 conference of the same name in Tampere, Finland. ... the quality of the individual articles is very high as they present mostly mature positions. Hence, it is certainly a good volume and an important contribution to the trend of growing interest in Husserl's (early) work on the philosophy of logic and mathematics and their relation to phenomenology." (Carlo Ierna, History and Philosophy of Logic, Vol. 32, November, 2011)

Spis treści

R. Tieszen, Mathematical Realism and Transcendental Phenomenological Idealism; G.E. Rosado Haddock, Platonism, Phenomenology, and Interderivability; C. Hill, Husserl on Axiomatization and Arithmetic; D. Lohmar, Intuition in Mathematics. On the function of eidetic variation in mathematical proofs; J. Hintikka, How Can a Phenomenologist Have a Philosophy of Mathematics? M. Hartimo, Development of Mathematics and the Birth of Phenomenology; J.J da Silva, Beyond Leibniz: Husserl’s Vindication of Symbolic Knowledge; R. Hanna, Mathematical Truth Regained; O.K. Wiegand, On Referring to Gestalts.

O autorze

Mirja Hartimo (Ph.D, Docent) graduated from Boston University in 2005 with a dissertation entitled "Edmund Husserl’s Phenomenology and the Development of Mathematics in the Late Nineteenth Century" (Boston University, 2005). Currently she works as a post doctoral researcher funded by the Academy of Finland, at the University of Helsinki, Finland. She has published articles especially on Husserl and mathematics in journals such as Synthese, Journal of History and Philosophy of Logic, and Southern Journal of Philosophy.

Blurb

The present collection gathers together the contributions of the world leading scholars working in the intersection of phenomenology and mathematics. During Edmund Husserl’s lifetime (1859-1938) modern logic and mathematics rapidly developed toward their current outlook and Husserl’s writings can be fruitfully compared and contrasted with both 19^th century figures such as Boole, Schröder and Weierstrass as well as the 20^th century characters like Heyting, Zermelo, and Gödel. Besides the more historical studies, both the internal ones on Husserl alone and the external ones attempting to clarify his role in the more general context of the developing mathematics and logic, Husserl’s phenomenology offers also a systematically rich but little researched area of investigation. The present volume aims to establish the starting point for the development, evaluation and appraisal of the phenomenology of mathematics. It gathers the contributions of the main scholars of this emerging field into one publication for the first time. Combining both historical and systematic studies from various angles, the volume charts answers to the question "What kind of philosophy of mathematics is phenomenology?"