Numbers in Presence and Absence

A Study of Husserl's Philosophy of Mathematics

von J. P. Miller

160 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Themen: Philosophie und Religion Philosophie Philosophische Traditionen und Denkschulen Nach 1800 Phänomenologie und Existenzphilosophie
• ISBN: 9789400976269
• Sprache: Englisch
• Erscheinungsdatum: 13.10.2011
• Größe: 235 x 155 mm
• Verlag: Springer