Overview
- Examines Feferman’s work in mathematical as well as specific methodological and philosophical issues
- Critically examines Feferman’s work and, in part, actively expands upon concrete mathematical projects
- Includes a short autobiography by Feferman that reflects on the evolution and intellectual contexts of his work
Part of the book series: Outstanding Contributions to Logic (OCTR, volume 13)
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Table of contents (20 chapters)
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Front Matter
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Mathematical Logic
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Front Matter
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From Logic to Philosophy
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Front Matter
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Keywords
About this book
With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory.
In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.
Reviews
Editors and Affiliations
About the editors
Wilfried Sieg is Patrick Suppes Professor of Philosophy at Carnegie Mellon University, USA. He received his PhD from Stanford University in 1977. From 1966 to 1985, he was an Assistant and Associate Professor at Columbia University, USA. In 1985, he joined the Carnegie Mellon faculty as a founding member of the University’s Philosophy Department and served as its Head from 1994 to 2005. He is internationally known for his mathematical work in proof theory, historical work on modern logic and mathematics, and philosophical essays on the nature of mathematics. Sieg is a Fellow of the American Academy of Arts and Sciences.
Bibliographic Information
Book Title: Feferman on Foundations
Book Subtitle: Logic, Mathematics, Philosophy
Editors: Gerhard Jäger, Wilfried Sieg
Series Title: Outstanding Contributions to Logic
DOI: https://doi.org/10.1007/978-3-319-63334-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2017
Hardcover ISBN: 978-3-319-63332-9Published: 16 April 2018
Softcover ISBN: 978-3-030-09691-5Published: 09 December 2018
eBook ISBN: 978-3-319-63334-3Published: 04 April 2018
Series ISSN: 2211-2758
Series E-ISSN: 2211-2766
Edition Number: 1
Number of Pages: LXXX, 551
Number of Illustrations: 4 b/w illustrations
Topics: Mathematical Logic and Foundations, Logic, Mathematical Logic and Formal Languages