The Infinite in Mathematics : Logico-mathematical writings

Language: English

Published by Springer, 1978

9027708487 / 9789027708489

Series: Book 11 of 19 - Vienna Circle Collection

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - The main item in the present volume was published in 1930 under the title Das Unendliche in der Mathematik und seine Ausschaltung. It was at that time the fullest systematic account from the standpoint of Husserl's phenomenology of what is known as 'finitism' (also as 'intuitionism' and 'constructivism') in mathematics. Since then, important changes have been required in philosophies of mathematics, in part because of Kurt Godel's epoch-making paper of 1931 which established the essential in completeness of arithmetic. In the light of that finding, a number of the claims made in the book (and in the accompanying articles) are demon strably mistaken. Nevertheless, as a whole it retains much of its original interest and value. It presents the issues in the foundations of mathematics that were under debate when it was written (and in some cases still are); , and it offers one alternative to the currently dominant set-theoretical definitions of the cardinal numbers and other arithmetical concepts. While still a student at the University of Vienna, Felix Kaufmann was greatly impressed by the early philosophical writings (especially by the Logische Untersuchungen) of Edmund Husser!' He was never an uncritical disciple of Husserl, and he integrated into his mature philosophy ideas from a wide assortment of intellectual sources. But he thought of himself as a phenomenologist, and made frequent use in all his major publications of many of Husserl's logical and epistemological theses.

Seller Inventory # 9789027708489

Title
The Infinite in Mathematics : Logico-mathematical writings
Author
Felix Kaufmann
Publisher
Springer
Publication year
1978
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
9027708487
ISBN 13
9789027708489
Item weight
400 grams
Dimensions
235x155x15 mm
Series
Book 11 of 19: Vienna Circle Collection

AHA-BUCH GmbH

Einbeck, Germany

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