Recursion Theory for Metamathematics by Raymond M Smullyan

Recursion Theory for Metamathematics by Raymond M Smullyan

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Summary

In 1931, Princeton mathematician Kurt Godel startled the scientific world with his 'Theorem of Undecidability', which showed that some statements in mathematics are inherently 'undecidable'. This volume of the 'Oxford Logic Guides' is a sequel to Smullyan's Godel's 'Incompleteness Theorems' (Oxford Logic Guides No. 19, 1992).

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Recursion Theory for Metamathematics by Raymond M Smullyan

This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
highly recommended * AD. Irvine, University of British Columbia, History and Philosophy of Logic, 15 (1994) *
thanks to the virtual lack or prerequisites and the detailed, easy-to-follow proofs, Recursion Theory for Metamathematics is highly accessible to beginning logicians ... There is much, both in results and in methods, that will be of interest to a variety of readers. * Leon Harkleroad, Modern Logic, Volume 4, No. 3 (July 1994) *

Raymond Smullyan, a mathematician, concert pianist, magician, and author of various volumes of logic puzzles, chess puzzles, mathematics, philosophy, and memoir, was born in Far Rockaway, New York, in 1919.

SKU Unavailable
ISBN 13 9780195082326
ISBN 10 019508232X
Title Recursion Theory for Metamathematics
Author Raymond M Smullyan
Series Oxford Logic Guides
Condition Unavailable
Publisher Oxford University Press Inc
Year published 1993-07-15
Number of pages 184
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.