ENGLISH

Set Theory, Arithmetic, and Foundations of Mathematics: Theorems, Philosophies

By Juliette Kennedy , Roman Kossak (eds.)

Book information

Publisher
Cambridge University Press
Year
2011
ISBN
1107008042, 9781107008045
Language
english
Format
PDF
Filesize
1 MB (1335354 bytes)
Series
Lecture Notes in Logic 36
Pages
243\243
Topic
Mathematics Logic
Library
Kolxo3
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2012-08-21 20:00:00

Description

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arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Gödel's previously unpublished 1972-1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse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