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

Sommario

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.

Dettagli sul prodotto

• Autori: J P Miller, J. P. Miller, J.P. Miller
• Con la collaborazione di: J. Philip Miller (Editore)
• Editore: Springer Netherlands
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 24.01.2011
• EAN: 9789024727094
• ISBN: 978-90-247-2709-4
• Pagine: 160
• Dimensioni: 159 mm x 269 mm x 15 mm
• Peso: 406 g
• Illustrazioni: 160 p.
• Serie: Phaenomenologica; Cancer Treatment and Research; Phaenomenologica; Cancer Treatment and Research
• Categoria: Scienze umane, arte, musica > Filosofia