Set Theory, Arithmetic, and Foundations of Mathematics (Hardcover)

Hardcover. 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arithmetics as well as on other aspects of arithmetics, such as interpretability; the transcript of Goedel's previously unpublished 19721975 conversations with Sue Toledo, along with an appreciation of the same by Curtis Franks; Hugh Woodin's paper arguing against the generic multiverse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. In this collection of papers, outstanding members of the field provide a historical and philosophical treatment of a broad spectrum of theorems in arithmetic and set theory. Tennenbaum phenomena in arithmetics and a transcript of Goedel's 19721975 conversations with Sue Toledo are among the subjects treated in this volume. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…