Husserliana: Edmund Husserl – Collected Works

Philosophy of Arithmetic

Psychological and Logical Investigations with Supplementary Texts from 1887–1901

Authors: Husserl, Edmund

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About this book

In his first book, Philosophy of Arithmetic, Edmund Husserl provides a carefully worked out account of number as a categorial or formal feature of the objective world, and of arithmetic as a symbolic technique for mastering the infinite field of numbers for knowledge. It is a realist account of numbers and number relations that interweaves them into the basic structure of the universe and into our knowledge of reality. It provides an answer to the question of how arithmetic applies to reality, and gives an account of how, in general, formalized systems of symbols work in providing access to the world. The "appendices" to this book provide some of Husserl's subsequent discussions of how formalisms work, involving David Hilbert's program of completeness for arithmetic. "Completeness" is integrated into Husserl's own problematic of the "imaginary", and allows him to move beyond the analysis of "representations" in his understanding of the logic of mathematics.
Husserl's work here provides an alternative model of what "conceptual analysis" should be - minus the "linguistic turn", but inclusive of language and linguistic meaning. In the process, he provides case after case of "Phenomenological Analysis" - fortunately unencumbered by that title - of the convincing type that made Husserl's life and thought a fountainhead of much of the most important philosophical work of the twentieth Century in Europe. Many Husserlian themes to be developed at length in later writings first emerge here: Abstraction, internal time consciousness, polythetic acts, acts of higher order ('founded' acts), Gestalt qualities and their role in knowledge, formalization (as opposed to generalization), essence analysis, and so forth.
This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations available at the time. Husserl's extensive and trenchant criticisms of Gottlob Frege's theory of number and arithmetic reach far beyond those most commonly referred to in the literature on their views.

Reviews

From the reviews:

"This translation is the crowning achievement of Dallas Willard’s monumental research into Husserl’s early philosophy … . The volume is hence a good starting point for English-speaking students from freshman to graduate level who wish to familiarise themselves with Husserl’s philosophy of mathematics … . Willard succeeds in creating a very readable English text, maintaining a good balance between correctly rendering difficult and ambiguous German terms and writing in a clear and easy way." (Carlo Ierna, Husserl Studies, Vol. 24, 2008)


Table of contents (16 chapters)

  • Introduction

    Husserl, Edmund

    Pages 11-14

  • The Origination of the Concept of Multiplicity Through that of the Collective Combination

    Husserl, Edmund

    Pages 15-22

  • Critical Developments

    Husserl, Edmund

    Pages 23-65

  • The Psychological Nature of the Collective Combination

    Husserl, Edmund

    Pages 67-79

  • Analysis of the Concept of Number in Terms of its Origin and Content

    Husserl, Edmund

    Pages 81-93

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-94-010-0060-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $339.00
price for USA
  • ISBN 978-1-4020-1546-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $49.99
price for USA
  • ISBN 978-1-4020-1603-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Philosophy of Arithmetic
Book Subtitle
Psychological and Logical Investigations with Supplementary Texts from 1887–1901
Authors
Translated by
Willard, D.
Series Title
Husserliana: Edmund Husserl – Collected Works
Series Volume
10
Copyright
2003
Publisher
Springer Netherlands
Copyright Holder
Kluwer Academic Publishers
eBook ISBN
978-94-010-0060-4
DOI
10.1007/978-94-010-0060-4
Hardcover ISBN
978-1-4020-1546-5
Softcover ISBN
978-1-4020-1603-5
Edition Number
1
Number of Pages
LXIV, 515
Additional Information
Originally published in German
Topics