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  1. Home
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  3. Set Theory, Arithmetic, and Foundations of Mathematics
  • Cited by 5
Publisher:
Cambridge University Press
Online publication date:
October 2011
Print publication year:
2011
Online ISBN:
9780511910616
DOI:
https://doi.org/10.1017/CBO9780511910616
Subjects:
Mathematics, Logic, Categories and Sets, Logic, Philosophy, Programming Languages and Applied Logic
Series:
Lecture Notes in Logic (36)
Information

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arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Gödel's previously unpublished 1972–1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse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