J. P. Miller

Numbers in Presence and Absence

A Study of Husserl's Philosophy of Mathematics

• Gebundenes Buch

Produktdetails

• Phaenomenologica 90
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-90-247-2709-4
• 1982.
• Seitenzahl: 160
• Erscheinungstermin: 30. November 1982
• Englisch
• Abmessung: 243mm x 162mm x 15mm
• Gewicht: 406g
• ISBN-13: 9789024727094
• ISBN-10: 902472709X
• Artikelnr.: 22378403

Inhaltsangabe

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.