The Infinite in Mathematics

Logico-mathematical writings

Nonfiction, Science & Nature, Mathematics, Logic, Science, Other Sciences, Philosophy & Social Aspects
Cover of the book The Infinite in Mathematics by Felix Kaufmann, Springer Netherlands
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Felix Kaufmann ISBN: 9789400997950
Publisher: Springer Netherlands Publication: December 6, 2012
Imprint: Springer Language: English
Author: Felix Kaufmann
ISBN: 9789400997950
Publisher: Springer Netherlands
Publication: December 6, 2012
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Netherlands

Cover of the book Phytochemical Methods by Felix Kaufmann
Cover of the book Advanced Bioactive Compounds Countering the Effects of Radiological, Chemical and Biological Agents by Felix Kaufmann
Cover of the book Managing Environmental Disputes by Felix Kaufmann
Cover of the book Sharing Poetic Expressions by Felix Kaufmann
Cover of the book Readings on Edmund Husserl’s Logical Investigations by Felix Kaufmann
Cover of the book Bold Ventures by Felix Kaufmann
Cover of the book Trace Gas Emissions and Plants by Felix Kaufmann
Cover of the book Environmental Impact Assessment by Felix Kaufmann
Cover of the book Rheumatic Fever by Felix Kaufmann
Cover of the book Production of Hydrogen from Renewable Resources by Felix Kaufmann
Cover of the book Re/Structuring Science Education by Felix Kaufmann
Cover of the book Integrated Water Resources Management in the Mediterranean Region by Felix Kaufmann
Cover of the book Marine Navigation 1 : Piloting by Felix Kaufmann
Cover of the book Inshore Fisheries Management by Felix Kaufmann
Cover of the book New Concepts in Echocardiography by Felix Kaufmann
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy