Numbers in Presence and Absence A Study of Husserls Philosophy of Mathematics [Paperback]

I: The Emergence and Development of Husserls Philosophy of Arithmetic.- 1. Historical Background: Weierstrass and the Arithmetization of Analysis.- 2. Husserls First Stage: Analysis as a Science of Number.- 3. Husserls Second Stage: Analysis as a Formal Technique.- 4. Husserls Third Stage: Analysis as Manifold Theory.- 5. The Problem of Psychologism in Husserls 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 Husserls 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. Husserls Attempted Justification of Analysis.- Conclusion.- Note on Abbreviations.Springer Book Archives