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Set Theory, Arithmetic, and Foundations of Mathematics: Theorems, Philosophies (Lecture Notes in Logic, Series Number 36) - Hardcover
Synopsis
This collection of papers from various areas of mathematical logic showcases the remarkable breadth and richness of the field. Leading authors reveal how contemporary technical results touch upon foundational questions about the nature of mathematics. Highlights of the volume include: a history of Tennenbaum's theorem in arithmetic; a number of papers on Tennenbaum phenomena in weak arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Gödel's previously unpublished 1972-1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse view; Anne Troelstra's history of intuitionism through 1991; and Aki Kanamori's history of the Suslin problem in set theory. The book provides a historical and philosophical treatment of particular theorems in arithmetic and set theory, and is ideal for researchers and graduate students in mathematical logic and philosophy of mathematics.
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Book Description
In this collection of papers, outstanding members of the field provide a historical and philosophical treatment of a broad spectrum of theorems in arithmetic and set theory. Tennenbaum phenomena in arithmetics and a transcript of Gödel's 1972-1975 conversations with Sue Toledo are among the subjects treated in this volume.
About the Author
Juliette Kennedy is a University Lecturer in the Department of Mathematics and Statistics at the University of Helsinki.
Roman Kossak is a Professor of Mathematics in the Graduate Center at the City University of New York (CUNY).
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- PublisherCambridge University Press
- Publication date2011
- ISBN 10 1107008042
- ISBN 13 9781107008045
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages242
- EditorKennedy Juliette, Kossak Roman
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Set Theory, Arithmetic, and Foundations of Mathematics Theorems, Philosophies 36 Lecture Notes in Logic, Series Number 36
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ISBN 13: 9781107008045
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Set Theory, Arithmetic, and Foundations of Mathematics: Theorems, Philosophies (Lecture Notes in Logic, Series Number 36)
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Set Theory, Arithmetic, and Foundations of Mathematics Theorems, Philosophies 36 Lecture Notes in Logic, Series Number 36
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ISBN 10: 1107008042
ISBN 13: 9781107008045
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Set Theory, Arithmetic, and Foundations of Mathematics: Theorems, Philosophies
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Set Theory, Arithmetic, and Foundations of Mathematics: Theorems, Philosophies
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