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After Gödel
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After Gödel: Platonism and Rationalism in Mathematics and Logic

Richard Tieszen

Abstract

This book contains an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic, with reference to his three philosophical heroes, Plato, Leibniz, and Husserl, and to his engagement with Kant. Close readings of Gödel's texts on foundations are supplemented with materials from the Gödel Nachlass and from Hao Wang's discussions with Gödel. Gödel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed‐up theorems, and indep ... More

Keywords: Gödel, platonism, incompleteness, rationalism, intuition, consistency, Husserl, undecidability, monads, logic

Bibliographic Information

Print publication date: 2011 Print ISBN-13: 9780199606207
Published to Oxford Scholarship Online: May 2011 DOI:10.1093/acprof:oso/9780199606207.001.0001

Authors

Affiliations are at time of print publication.

Richard Tieszen, author
San José State University, California
Author Webpage

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