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Synthese Library

Logic and Philosophy of Mathematics in the Early Husserl

Authors: Centrone, Stefania

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  • First comprehensive account of the contributions to logic and philosophy of mathematics by the early Husserl
  • Offers original analysis of a number of texts from Husserl’s Nachlaß
  • Contains a careful reconstruction of Husserl’s logical theories in a contemporary form
  • Includes a detailed account of the influence of Bolzano on the early Husserl
  • Covers a wide historical background, including Leibniz, Boole, Frege and Hilbert
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  • ISBN 978-90-481-3246-1
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Hardcover $159.99
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  • ISBN 978-90-481-3245-4
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Softcover $159.99
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  • ISBN 978-94-007-3123-3
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About this book

Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl’s early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl’s logico-mathematical work.

The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl’s Nachlaß that have not yet been the object of systematical scrutiny.

This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.

About the authors

Stefania Centrone obtained her master degree in Philosophy at the University of Florence. She was a PhD student at the Scuola Normale Superiore in Pisa, where she defended her doctoral dissertation in 2004. She was then awarded post-doctoral research grants at the Scuola Normale Superiore in Pisa until 2008. Since January 2009, Stefania Centrone has a two-year Alexander-von-Humboldt fellowship for research on Logical Objectivism, Inference and Foundational Proof in Bernard Bolzano’s ‘Wissenschaftslehre’ at the Philosophy Department of the University of Hamburg. She has given contributed talks at various workshops and conferences all over Europe, as well as invited talks at the Universities of Dublin, Koeln and Genève.

Reviews

From the reviews:

“Edmund Husserl is generally known as the philosopher who introduced the phenomenological method in philosophy. … He developed a philosophy of arithmetic in which he discussed the concepts of number and set. It contains valuable insights and he has, for example, what is essentially the notion of a partially recursive function. … her book is a welcome contribution to our further understanding of a very exciting period in the history of the foundations of mathematics.”­­­ (Teun Koetsier, Zentralblatt MATH, Vol. 1196, 2010)

Table of contents (3 chapters)

Table of contents (3 chapters)

Buy this book

eBook $119.00
price for USA in USD (gross)
  • ISBN 978-90-481-3246-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-90-481-3245-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.99
price for USA in USD
  • ISBN 978-94-007-3123-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Logic and Philosophy of Mathematics in the Early Husserl
Authors
Series Title
Synthese Library
Series Volume
345
Copyright
2010
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-90-481-3246-1
DOI
10.1007/978-90-481-3246-1
Hardcover ISBN
978-90-481-3245-4
Softcover ISBN
978-94-007-3123-3
Edition Number
1
Number of Pages
XXII, 232
Topics