Chapters from Gödel's unfinished book on foundational research in mathematics / Jan von Plato.
Von Plato, Jan, author.
2022
QA8.4
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Title Chapters from Gödel's unfinished book on foundational research in mathematics / Jan von Plato.
Author Von Plato, Jan, author.
ISBN 9783030971342 (electronic bk.)
3030971341 (electronic bk.)
9783030971335 (print)
DOI https://doi.org/10.1007/978-3-030-97134-2
Published Cham, Switzerland : Springer, 2022.
Language English
Description 1 online resource (ix, 214 pages) : illustrations.
Other Standard Identifiers 10.1007/978-3-030-97134-2 doi
Call Number QA8.4
Dewey Decimal Classification 510.1
Summary This volume contains English translations of Gödel's chapters on logicism and the antinomies and on the calculi of pure logic, as well as outlines for a chapter on metamathematics. It also comprises most of his reading notes. This book is a testimony to Gödel's understanding of the situation of foundational research in mathematics after his great discovery, the incompleteness theorem of 1931. It is also a source for his views on his logical predecessors, from Leibniz, Frege, and Russell to his own times. Gödel's "own book on foundations," as he called it, is essential reading for logicians and philosophers interested in foundations. Furthermore, it opens a new chapter to the life and achievement of one of the icons of 20th century science and philosophy.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed May 9, 2022).
Series Vienna Circle Institute library ; v. 6.
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Preface
Dedication
Part I: Gödel's "Own Book on Foundations"
Chapter 1. A Gödel puzzle
Chapter 2. The Ergebnisse book project
Chapter 3. Gödel's reading of the logical literature
Chapter 4. Gödel's manuscript for the Ergebnisse book series
Part II: Own Book (Foundations)
Chapter 5. Introduction
Chapter 6. Logicism
Chapter 7. Antinomies
Chapter 8. Clear version, from the beginning to the antinomies
Chapter 9. The epistemological standpoint of the logicists
Chapter 10. Logical calculus
Chapter 11. Metamathematics
Chapter 12. General metamathematics (Princeton)
Part III: Gödel's Reading Notes
Chapter 13. Editorial remarks
Chapter 14. The untitled notebook
Chapter 15. The Altes Excerptenheft
References
Index.

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