Philosophy of Arithmetic : Psychological and Logical Investigations with Supplementary Texts from 1887–1901 / by Edmund Husserl
(Edmund Husserl, Collected Works ; 10)
| データ種別 | 電子ブック |
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| 出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
| 出版年 | 2003 |
| 本文言語 | 英語 |
| 大きさ | LXIV, 515 p : online resource |
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| 内容注記 | First Part: The Authentic Concepts of Multiplicity, Unity and Number I: The Origination of the Concept of Multiplicity through that of the Collective Combination II: Critical Developments III: The Psychological Nature ot the Collective Combination IV: Analysis of the Concept of Number in Terms of its Origin and Content V: The realations “More” AND “Less” VI: The Definition of Number-Equity through the Concept of Reciprocal One-tO- One Correlation VII: Definition of Number in Terms of Equivalence VIII: Discussions Concerning Unity and Multiplicity IX: The Sense of the Statement of Numbers Second Part: The Symbolic Number Concepts And The Logical Sources Of Cardinal Arithmetic X: Operations on Numbers and the Authentic Number Concepts XI: Symbolic Representations of Multiplicities XII: The Symbolic Representations of Numbers XIII: The Logical Sources of Arithmetic Supplementary Texts (1887–1901) A. Original Version of the Text through Chapter IV: ON the Concept of Number: Psychological Analyses B. Essays |
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| 一般注記 | In his first book, Philosophy of Arithmetic, Edmund Husserl provides a carefully worked out account of number as a categorial or formal feature of the objective world, and of arithmetic as a symbolic technique for mastering the infinite field of numbers for knowledge. It is a realist account of numbers and number relations that interweaves them into the basic structure of the universe and into our knowledge of reality. It provides an answer to the question of how arithmetic applies to reality, and gives an account of how, in general, formalized systems of symbols work in providing access to the world. The "appendices" to this book provide some of Husserl's subsequent discussions of how formalisms work, involving David Hilbert's program of completeness for arithmetic. "Completeness" is integrated into Husserl's own problematic of the "imaginary", and allows him to move beyond the analysis of "representations" in his understanding of the logic of mathematics. Husserl's work here provides an alternative model of what "conceptual analysis" should be - minus the "linguistic turn", but inclusive of language and linguistic meaning. In the process, he provides case after case of "Phenomenological Analysis" - fortunately unencumbered by that title - of the convincing type that made Husserl's life and thought a fountainhead of much of the most important philosophical work of the twentieth Century in Europe. Many Husserlian themes to be developed at length in later writings first emerge here: Abstraction, internal time consciousness, polythetic acts, acts of higher order ('founded' acts), Gestalt qualities and their role in knowledge, formalization (as opposed to generalization), essence analysis, and so forth. This volume is a window on a period of rich and illuminating philosophical activity that has been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic Philosophy" so-called. Careful exposition and critique is given to every serious alternative account of number and number relations av ailable at the time. Husserl's extensive and trenchant criticisms of Gottlob Frege's theory of number and arithmetic reach far beyond those most commonly referred to in the literature on their views |
| 著者標目 | *Husserl, Edmund author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Modern philosophy LCSH:Phenomenology LCSH:History LCSH:Number theory FREE:Mathematics FREE:Number Theory FREE:Phenomenology FREE:History of Mathematical Sciences FREE:Modern Philosophy |
| 分 類 | DC23:512.7 |
| 巻冊次 | ISBN:9789401000604 
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| ISBN | 9789401000604 |
| URL | http://dx.doi.org/10.1007/978-94-010-0060-4 |
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