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Chapters from Gödel’s Unfinished Book on Foundational Research in Mathematics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Chapters from Gödel’s Unfinished Book on Foundational Research in Mathematics/ by Jan von Plato.
Author:	von Plato, Jan.
Description:	IX, 214 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematics—Philosophy. -
Online resource:	https://doi.org/10.1007/978-3-030-97134-2
ISBN:	9783030971342

Chapters from Gödel’s Unfinished Book on Foundational Research in Mathematics
von Plato, Jan.

Chapters from Gödel’s Unfinished Book on Foundational Research in Mathematics[electronic resource] /by Jan von Plato. - 1st ed. 2022. - IX, 214 p. 1 illus.online resource. - Vienna Circle Institute Library ;6. - Vienna Circle Institute Library ;6.

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.

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.

ISBN: 9783030971342

Standard No.: 10.1007/978-3-030-97134-2doiSubjects--Topical Terms:

1254283
Mathematics—Philosophy.

LC Class. No.: QA8-10.4

Dewey Class. No.: 510.1

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