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Felix Kaufmann Infinite in Mathematics 1978 Vienna Circle Carnap Schlick HC

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eBay item number:326558853103

Item specifics

Condition
Good: A book that has been read but is in good condition. Very minimal damage to the cover including ...
Educational Level
Adult & Further Education
Features
1st Edition, Ex-Library
Level
Advanced, Technical
ISBN
9789027708472

About this product

Product Identifiers

Publisher
Springer Netherlands
ISBN-10
9027708479
ISBN-13
9789027708472
eBay Product ID (ePID)
524608

Product Key Features

Number of Pages
Xvii, 237 Pages
Publication Name
Infinite in Mathematics
Language
English
Subject
Philosophy & Social Aspects, Movements / Phenomenology, General, Logic
Publication Year
1978
Type
Textbook
Author
Ernest Nagel
Subject Area
Mathematics, Philosophy, Science
Series
Vienna Circle Collection
Format
Hardcover

Dimensions

Item Weight
42.3 Oz
Item Length
11.7 in
Item Width
8.3 in

Additional Product Features

Intended Audience
Scholarly & Professional
TitleLeading
The
Series Volume Number
9
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
The Infinite in Mathematics and its Elimination (1930).- Preface.- Analytic Table of Contents.- 1. Basic Facts of Cognition.- II. Symbolism and Axiomatics.- III. Natural Number and Set.- IV. Negative Numbers, Fractions and Irrational Numbers.- V. Set Theory.- VI. The Problem of Complete Decidability of Arithmetical Questions.- VII. The Antinomies.- Remarks on the Controversy about the Foundations of Logic and Mathematics (1931).- Questions of Logical Principle in the Investigation of the Foundations of Mathematics (ca. 1931).- Bibliography of the Published Writings of Felix Kaufman.- Bibliography of Works cited in the Present Volume.- Index of Names.
Synopsis
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., 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.
LC Classification Number
Q174-175.3

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