Set Theory, Arithmetic and Foundations of Mathematics: Theorems, Philosophies (Lecture Notes in Logic...

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Juliette Kennedy Roman Kossak

Set Theory, Arithmetic and Foundations of Mathematics

Theorems, Philosophies (Lecture Notes in Logic #36)

Juliette Kennedy, Roman Kossak

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English

01 September 2011

Mathematics & Sciences; Philosophy of mathematics; Mathematical foundations; Mathematical logic; Set theory

Series: Lecture Notes in Logic

Summary
Details

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arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Gödel's previously unpublished 1972–1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse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.

Edited by: Juliette Kennedy, Roman Kossak
Country of Publication: United Kingdom
Dimensions: Height: 235mm, Width: 155mm, Spine: 15mm
Weight: 480g
ISBN: 9781107008045
ISBN 10: 1107008042
Series: Lecture Notes in Logic
Publication Date: 01 September 2011
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active