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    Kurt Godel: Essays for His Centennial (Lecture Notes in Logic) (Paperback) Edited by Solomon Feferman, Edited by Charles Parsons, Edited by Stephen G. Simpson

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    DescriptionKurt Godel (1906-1978) did groundbreaking work that transformed logic and other important aspects of our understanding of mathematics, especially his proof of the incompleteness of formalized arithmetic. This book on different aspects of his work and on subjects in which his ideas have contemporary resonance includes papers from a May 2006 symposium celebrating Godel's centennial as well as papers from a 2004 symposium. Proof theory, set theory, philosophy of mathematics, and the editing of Godel's writings are among the topics covered. Several chapters discuss his intellectual development and his relation to predecessors and contemporaries such as Hilbert, Carnap, and Herbrand. Others consider his views on justification in set theory in light of more recent work and contemporary echoes of his incompleteness theorems and the concept of constructible sets.


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  • Full bibliographic data for Kurt Godel

    Title
    Kurt Godel
    Subtitle
    Essays for His Centennial
    Authors and contributors
    Edited by Solomon Feferman, Edited by Charles Parsons, Edited by Stephen G. Simpson
    Physical properties
    Format: Paperback
    Number of pages: 384
    Width: 152 mm
    Height: 229 mm
    Thickness: 20 mm
    Weight: 510 g
    Language
    English
    ISBN
    ISBN 13: 9781107683464
    ISBN 10: 1107683467
    Classifications

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    B&T Modifier: Region of Publication: 03
    BIC subject category V2: HPL, PBCD
    B&T General Subject: 710
    DC22: 510.92
    LC classification: QA
    Ingram Subject Code: MA
    Libri: I-MA
    Warengruppen-Systematik des deutschen Buchhandels: 26220
    Abridged Dewey: 511
    B&T Merchandise Category: UP
    BISAC V2.8: MAT018000
    DC23: 511.3
    Thema V1.0: QDTL, PBCD
    Edition statement
    Reprint
    Illustrations note
    black & white illustrations
    Publisher
    CAMBRIDGE UNIVERSITY PRESS
    Imprint name
    CAMBRIDGE UNIVERSITY PRESS
    Publication date
    20 June 2013
    Publication City/Country
    Cambridge
    Author Information
    Solomon Feferman has been a Professor of Mathematics and Philosophy at Stanford University since 1956, from which he retired in 2004. He is a Fellow of the American Academy of Arts and Sciences, was President of the Association for Symbolic Logic in 1980-2, and was the recipient of the Rolf Schock Prize for Logic and Philosophy in 2003. Feferman was editor-in-chief of the Collected Works of Kurt Godel (1986-2003). Charles Parsons holds an AB (mathematics) and PhD (philosophy) from Harvard University and studied for a year at King's College, Cambridge. He was on the faculty at Harvard University from 1962-65 and 1989-2005 and at Columbia University from 1965-89. His publications are mainly in logic, philosophy of mathematics, and Kant. He was an editor of the posthumous works of Kurt Godel (Collected Works, Volumes III-V). Stephen G. Simpson is a mathematics professor at the Pennsylvania State University. He has lectured and published widely in mathematical logic and the foundations of mathematics. Simpson is the developer of the foundational program known as Reverse Mathematics and the author of Subsystems of Second Order Arithmetic, 2nd Edition.
    Table of contents
    Part I. General: 1. The Godel editorial project: a synopsis Solomon Feferman; 2. Future tasks for Godel scholars John W. Dawson, Jr, and Cheryl A. Dawson; Part II. Proof Theory: 3. Kurt Godel and the metamathematical tradition Jeremy Avigad; 4. Only two letters: the correspondence between Herbrand and Godel Wilfried Sieg; 5. Godel's reformulation of Gentzen's first consistency proof for arithmetic: the no-counter-example interpretation W. W. Tait; 6. Godel on intuition and on Hilbert's finitism W. W. Tait; 7. The Godel hierarchy and reverse mathematics Stephen G. Simpson; 8. On the outside looking in: a caution about conservativeness John P. Burgess; Part III. Set Theory: 9. Godel and set theory Akihiro Kanamori; 10. Generalizations of Godel's universe of constructible sets Sy-David Friedman; 11. On the question of absolute undecidability Peter Koellner; Part IV. Philosophy of Mathematics: 12. What did Godel believe and when did he believe it? Martin Davis; 13. On Godel's way in: the influence of Rudolf Carnap Warren Goldfarb; 14. Godel and Carnap Steve Awodey and A. W. Carus; 15. On the philosophical development of Kurt Godel Mark van Atten and Juliette Kennedy; 16. Platonism and mathematical intuition in Kurt Godel's thought Charles Parsons; 17. Godel's conceptual realism Donald A. Martin.