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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.
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Contenuti
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).- I. Logic and Language.- II. Logical Sentences and Principles of Logic: Their Sense.- III. Logic and Mathematics.- Bibliography of the Published Writings of Felix Kaufman.- Bibliography of Works cited in the Present Volume.- Index of Names.
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Book by Felix Kaufmann
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The Infinite in Mathematics
Editore:
Springer Netherlands, 1978
ISBN 10: 9027708479
ISBN 13: 9789027708472
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Condizione: Good. 1978th Edition. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Codice articolo 1940079-20
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The Infinite in Mathematics, Logico-Mathematical Writings (Vienna Circle Collection, Volume 9)
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D. Reidel Publishing Company, 1978
ISBN 10: 9027708479
ISBN 13: 9789027708472
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Hardcover. Condizione: VeryGood. Covers show some light scuffing and faint sunning on front cover. Codice articolo mon0000001266
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The Infinite in Mathematics: Logico-mathematical Writings
Editore:
D. Reidel Publishing Company, 1978
ISBN 10: 9027708479
ISBN 13: 9789027708472
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Hard cover. Condizione: Good. No jacket. Volume 9 of the Vienna Circle Collection. Nice copy. No dust jacket, but some of jacket is pasted into back of book. Cover is in good condition. Binding is secure. Previous owner's ink signature and some tanning on front endpaper. Light pencil on some pages, not affecting legibility of text. All other pages are lightly tanned, but otherwise clean and unmarked. As is. Codice articolo 1152453
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The Infinite in Mathematics
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 finitis. Codice articolo 5814342
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The Infinite in Mathematics
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Springer Netherlands Aug 1978, 1978
ISBN 10: 9027708479
ISBN 13: 9789027708472
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 260 pp. Englisch. Codice articolo 9789027708472
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The Infinite in Mathematics: Logico-mathematical writings (Vienna Circle Collection, 9)
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The Infinite in Mathematics
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Springer Netherlands, Springer Netherlands Aug 1978, 1978
ISBN 10: 9027708479
ISBN 13: 9789027708472
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Buch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 260 pp. Englisch. Codice articolo 9789027708472
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Infinite in Mathematics
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The Infinite in Mathematics : Logico-mathematical writings
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Springer Netherlands, Springer Netherlands, 1978
ISBN 10: 9027708479
ISBN 13: 9789027708472
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Buch. Condizione: Neu. 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. Codice articolo 9789027708472
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Infinite in Mathematics
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Condizione: As New. Unread book in perfect condition. Codice articolo 1649974
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