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

Inbunden, Engelska, 2022

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

Av Jan von Plato

Del 6 i serien Vienna Circle Institute Library

1190 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning
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.
Produktinformation
Utforska kategorier
Mer om författaren

Viennese logician Kurt Gödel (1906-1978) became world-famous overnight with his incompleteness theorems of 1931. The first one states the impossibility to represent all of mathematics in one closed system, the second that there is no ultimate guarantee that such systems could not lead to contradictions. Soon after the publication of Gödel's sensational article, he was invited to write, together with Arend Heyting, a concise book about the status of foundational research in mathematics. With Gödel prolonging the delivery of his part, Heyting lost patience and published his part in 1934. It has been generally believed that Gödel had made little headway with his chapters. A search in the Gödel papers showed the contrary to be the case: he had meticulously listed well over a hundred works to study and had practically finished two chapters in his Gabelsberger shorthand, and outlined a third.Jan von Plato is professor of philosophy at the University of Helsinki. His books include Saved From the Cellar (Springer, 2017), Can Mathematics Be Proved Consistent? (Springer, 2020) and Kurt Gödel: The Princeton Lectures on Intuitionism (Edited by Maria Hämeen-Anttila and Jan von Plato, Springer 2021).

Recensioner i media

“The volume closes with a cumulative bibliography, and indices of names mentionedin the book chapters and in the excerpts. This is a valuable edition providing a comprehensive overview on the foundational debates of the early 20th century … .” (Volker Peckhaus, Mathematical Reviews, January, 2024)

Betyg & recensioner

0 recensioner

Inga recensioner tillgängliga.

Mer från samma författare