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Mathematics : Number Theory

Husserl, Edmund Philosophy of Arithmetic Psychological and Logical Investigations with Supplementary Texts from 1887–1901

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 Springer provides an alternative model of what "conceptual analysis" should be - minus the "linguistic 2003, LXIV, 515 p. turn", but inclusive of language and linguistic meaning. In the process, he provides case after 1st edition 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 Printed book consciousness, polythetic acts, acts of higher order ('founded' acts), Gestalt qualities and their Hardcover role in knowledge, formalization (as opposed to generalization), essence analysis, and so forth. Printed book This volume is a window on a period of rich and illuminating philosophical activity that has Hardcover been rendered generally inaccessible by the supposed "revolution" attributed to "Analytic ISBN 978-1-4020-1546-5 Philosophy" so-called. Careful exposition and critique is given to every serious alternative £ 279,99 | CHF 389,00 | 329,99 € | account of number and number relations available at the time. Husserl's extensive and 362,99 € (A) | 353,09 € (D) 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. Available Discount group Order online at springer.com/booksellers Science (SC) Springer Nature Customer Service Center GmbH Product category Customer Service Monograph Tiergartenstrasse 15-17 Series 69121 Heidelberg Husserliana: Edmund Husserl – Collected Germany Works T: +49 (0)6221 345-4301 Other renditions [email protected] Softcover ISBN 978-1-4020-1603-5 Softcover ISBN 978-94-010-0061-1

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ISBN 978-1-4020-1546-5 / BIC: PBH / SPRINGER NATURE: SCM25001 Part of