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

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

by J.P. Miller

Paperback(Softcover reprint of the original 1st ed. 1982)

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Product Details

ISBN-13: 9789400976269
Publisher: Springer Netherlands
Publication date: 10/13/2011
Series: Phaenomenologica , #90
Edition description: Softcover reprint of the original 1st ed. 1982
Pages: 160
Product dimensions: 6.10(w) x 9.25(h) x 0.01(d)

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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