Set Theory Arithmetic And Foundations Of Mathematics
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Set Theory: The Structure of Arithmetic
Author: Norman T. Hamilton
language: en
Publisher: Courier Dover Publications
Release Date: 2018-05-16
This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.
Set Theory, Arithmetic, and Foundations of Mathematics
Author: Juliette Kennedy
language: en
Publisher: Cambridge University Press
Release Date: 2011-09-01
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arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Gödel's previously unpublished 1972–1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse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.
Set Theory, Arithmetic, and Foundations of Mathematics
A collection of remarkable papers from various areas of mathematical logic, written by outstanding members of the field.