Numbers in presence and absence : a study of Husserl's philosophy of mathematics

J. Philip Miller


  • 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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書名 Numbers in presence and absence : a study of Husserl's philosophy of mathematics
著作者等 Miller, J. Philip
シリーズ名 Phaenomenologica
出版元 M. Nijhoff Publishers;Distributors for the U.S. and Canada, Kluwer Boston
刊行年月 1982
ページ数 x, 147 p.
大きさ 25 cm
ISBN 902472709X
NCID BA03252229
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言語 英語
出版国 オランダ