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Philosophy of Arithmetic
Psychological and Logical Investigations with Supplementary Texts from 1887-1901

Inglese · Tascabile

Spedizione di solito entro 6 a 7 settimane

Descrizione

Ulteriori informazioni

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 available 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.

Info autore

Dallas Willard, Jahrgang 1935, ist Professor für Philosophie in Los Angeles.§Gemeinsam mit seiner Frau Jane, einer Ehe- und Familientherapeutin, lebt Dallas Willard in Chatsworth, Kalifornien. Die beiden sind seit 1955 verheiratet, haben zwei erwachsene Kinder sowie eine Enkeltochter.

Riassunto

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 available 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.

Testo aggiuntivo

From the reviews:
"This translation is the crowning achievement of Dallas Willard’s monumental research into Husserl’s early philosophy … . The volume is hence a good starting point for English-speaking students from freshman to graduate level who wish to familiarise themselves with Husserl’s philosophy of mathematics … . Willard succeeds in creating a very readable English text, maintaining a good balance between correctly rendering difficult and ambiguous German terms and writing in a clear and easy way." (Carlo Ierna, Husserl Studies, Vol. 24, 2008)

Relazione

From the reviews:

"This translation is the crowning achievement of Dallas Willard's monumental research into Husserl's early philosophy ... . The volume is hence a good starting point for English-speaking students from freshman to graduate level who wish to familiarise themselves with Husserl's philosophy of mathematics ... . Willard succeeds in creating a very readable English text, maintaining a good balance between correctly rendering difficult and ambiguous German terms and writing in a clear and easy way." (Carlo Ierna, Husserl Studies, Vol. 24, 2008)

Dettagli sul prodotto

Autori Edmund Husserl
Con la collaborazione di Dallas Willard (Editore), D. Willard (Traduzione), Dallas Willard (Traduzione)
Editore Springer Netherlands
 
Lingue Inglese
Contenuto Libro
Forma del prodotto Tascabile
Data pubblicazione 30.06.2009
Categoria Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra
 
EAN 9781402016035
ISBN 978-1-4020-1603-5
Numero di pagine 515
Illustrazioni LXIV, 515 p.
Dimensioni (della confezione) 16.6 x 3.4 x 23.9 cm
Peso (della confezione) 919 g
 
Serie Husserliana: Edmund Husserl - Collected Works > Vol.10, Husserliana: Edmund Husserl - Collected Works > 10, Husserliana, Edmund Husserl Collected Works > 10, Husserliana: Edmund Husserl – Collected Works, Husserliana: Edmund Husserl – Collected Works > 10, Edmund Husserl - Collected Works > 10
Categorie C, History, Phenomenology, Philosophy, Mathematics, Modern philosophy: since c 1800, Mathematics and Statistics, Philosophische Traditionen und Denkschulen, Number Theory, Philosophical traditions and schools of thought, History of mathematics, History of Mathematical Sciences, Modern Philosophy, Phenomenology & Existentialism
 

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