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

ISBN: 9781139142816

Published: November 20th 2011

ebook

250 pages


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Set Theory, Arithmetic, and Foundations of Mathematics: Theorems, Philosophies  by  Juliette Kennedy

Set Theory, Arithmetic, and Foundations of Mathematics: Theorems, Philosophies by Juliette Kennedy
November 20th 2011 | ebook | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 250 pages | ISBN: 9781139142816 | 10.77 Mb

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 ofMoreThis 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 Tennenbaums 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arithmetics as well as on other aspects of arithmetics, such as interpretability- the transcript of Godels previously unpublished 1972 1975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks- Hugh Woodins paper arguing against the generic multiverse view- Anne Troelstras history of intuitionism through 1991- and Aki Kanamoris 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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