國立高雄大學圖資館 |

登入

回首頁

Chapters from Godel's unfinished book on foundational research in mathematics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Chapters from Godel's unfinished book on foundational research in mathematicsby Jan von Plato.
作者:	Von Plato, Jan.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	ix, 214 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	MathematicsPhilosophy.
電子資源:	https://doi.org/10.1007/978-3-030-97134-2
ISBN:	9783030971342$q(electronic bk.)

Chapters from Godel's unfinished book on foundational research in mathematics
Von Plato, Jan.

Chapters from Godel's unfinished book on foundational research in mathematics[electronic resource] /by Jan von Plato. - Cham :Springer International Publishing :2022. - ix, 214 p. :ill., digital ;24 cm. - Vienna Circle Institute library ;v. 6. - Vienna Circle Institute library ;v. 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$q(electronic bk.)

Standard No.: 10.1007/978-3-030-97134-2doiSubjects--Personal Names:

874476
Godel, Kurt.
Subjects--Topical Terms:

187658
Mathematics
--Philosophy.

LC Class. No.: QA8.4

Dewey Class. No.: 510.1

Chapters from Godel's unfinished book on foundational research in mathematics
LDR:02598nmm a2200337 a 4500 001 621760
003 DE-He213
005 20220506214943.0
006 m d
007 cr nn 008maaau
008 221121s2022 sz s 0 eng d
020 $a 9783030971342$q(electronic bk.)
020 $a 9783030971335$q(paper)
024 7 $a 10.1007/978-3-030-97134-2 $2 doi
035 $a 978-3-030-97134-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA8.4
072 7 $a PBB $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBB $2 thema
082 0 4 $a 510.1 $2 23
090 $a QA8.4 $b .V945 2022
100 1 $a Von Plato, Jan. $3 183815
245 1 0 $a Chapters from Godel's unfinished book on foundational research in mathematics $h [electronic resource] / $c by Jan von Plato.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a ix, 214 p. : $b ill., digital ; $c 24 cm.
490 1 $a Vienna Circle Institute library ; $v v. 6
505 0 $a 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.
520 $a 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.
600 1 0 $a Godel, Kurt. $3 874476
650 0 $a Mathematics $x Philosophy. $3 187658
650 1 4 $a Philosophy of Mathematics. $3 745264
650 2 4 $a Mathematical Logic and Foundations. $3 274479
650 2 4 $a History of Philosophy. $3 274764
650 2 4 $a Intellectual History. $3 913246
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Vienna Circle Institute library ; $v v. 6. $3 923184
856 4 0 $u https://doi.org/10.1007/978-3-030-97134-2
950 $a Religion and Philosophy (SpringerNature-41175)