Set Theory, Arithmetic, and Foundations of Mathematics

English

Series: Lecture Notes in Logic Ser.

ISBN: 113914281X

EAN: 9781139142816

Category: Mathematics / History & Philosophy/Mathematics / Set Theory/Mathematics / Logic/

Publisher: Cambridge University Press

Release Date: 08/31/2011

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as well as on other aspects of arithmetics, such as interpretability; the transcript of G''del's previously unpublished 1972''1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse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

Excerpt: Unknown Property Excerpt

Set Theory, Arithmetic, and Foundations of Mathematics

Illustrated: No

Format: eBook - PDF

Pages: 250