Numbers in Presence and Absence: A Study of Husserl’s Philosophy of Mathematics

Author:   J.P. Miller
Publisher:   Springer
Edition:   1982 ed.
Volume:   90
ISBN:  

9789024727094


Pages:   160
Publication Date:   30 November 1982
Format:   Hardback
Availability:   In Print   Availability explained
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Numbers in Presence and Absence: A Study of Husserl’s Philosophy of Mathematics


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Author:   J.P. Miller
Publisher:   Springer
Imprint:   Kluwer Academic Publishers
Edition:   1982 ed.
Volume:   90
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.406kg
ISBN:  

9789024727094


ISBN 10:   902472709
Pages:   160
Publication Date:   30 November 1982
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

I: The Emergence and Development of Husserl’s ‘Philosophy of Arithmetic’.- 1. Historical Background: Weierstrass and the Arithmetization of Analysis.- 2. Husserl’s First Stage: Analysis as a Science of Number.- 3. Husserl’s Second Stage: Analysis as a Formal Technique.- 4. Husserl’s Third Stage: Analysis as Manifold Theory.- 5. The Problem of Psychologism in Husserl’s Early Writings.- II: Husserl and the Concept of Number.- 1. The Definition of Number.- 2. The Origin of Number as a Phenomenological Problem.- 3. The Origin of Number in Husserl’s Eearly Writings.- III: The Presence of Number.- 1. Sensuous Groups.- 2. Explication.- 3. Comparison.- IV: Numbers as Identities in Presence and Absence.- 1. Intending Numbers in their Absence.- 2. The Unity of Number.- 3. The Unity of Large Numbers.- 4. Sedimented Number Meanings.- V: The Sense of Arithmetic.- 1. Ideal Numbers.- 2. The Formal Character of the Concept of Number.- 3. Arithmetic as Formal Ontology.- VI: The Sense of Analysis.- 1. The Algebraization of Arithmetic.- 2. Theory Forms and Manifolds.- 3. Analysis as Manifold Theory.- 4. Husserl’s Attempted Justification of Analysis.- Conclusion.- Note on Abbreviations.

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