Chapters from Gödel’s Unfinished Book on Foundational Research in Mathematics
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Beschreibung
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.
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.
Based on the recent discovery of Gödel's work on an ``own book on foundations,'' completely unknown so far Reconstruction of Gödel's unpublished work by one of the leading Gödel experts in the scientific community A milestone in Gödel research and in the related foundational debate
Autor*in
Jan von Plato
Themen in »Chapters from Gödel’s Unfinished Book on Foundational Research in Mathematics«
Gödel Foundations of Mathematics Logicism and the Antinomies Incompleteness and Metamathematics Gödel and the Vienna Circle Von Plato on Godel Foundational Research
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“The volume closes with a cumulative bibliography, and indices of names mentioned
in 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)
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