Chapters from Godel's unfinished book on foundational research in mathematics [electronic resource]

• 作者： Von Plato, Jan.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Vienna Circle Institute library ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Vienna Circle Institute library ;v. 6
• 主題： Godel, Kurt. , Mathematics--Philosophy. , Philosophy of Mathematics. , Mathematical Logic and Foundations. , History of Philosophy. , Intellectual History.
• ISBN： 9783030971342 (electronic bk.) 、 9783030971335 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Preface -- Dedication -- Part I: Go?del's "Own Book on Foundations" -- Chapter 1. A Go?del puzzle -- Chapter 2. The Ergebnisse book project -- Chapter 3. Go?del's reading of the logical literature -- Chapter 4. Go?del'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: Go?del's Reading Notes -- Chapter 13. Editorial remarks -- Chapter 14. The untitled notebook -- Chapter 15. The Altes Excerptenheft -- References -- Index.
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• 摘要註: This volume contains English translations of Go?del'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 Go?del'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. Go?del'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.
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