Recursion Theory for Metamathematics (Oxford Logic Guides)
Author | : | |
Rating | : | 4.94 (931 Votes) |
Asin | : | 019508232X |
Format Type | : | paperback |
Number of Pages | : | 184 Pages |
Publish Date | : | 2013-05-20 |
Language | : | English |
DESCRIPTION:
It is both an introduction to the theory and a presentation of new results in the field.. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. 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
Smullyan has made an important contribution toward the wider understanding of the work of Godel and his followers. Smullyan plays a significant role in the further development of mathematical logic and the elucidation of its relation to metamathematics. He continues to be one of the foremost popularizers of the subject." --American Scientist"an interesting presentation of recursion theory from the point of view of its applications in metamathematics, indicating many interrelations between various notions and properties. It will certainly be studied carefully and referred to by students and specialists alike." --Roman Murawski,Mathematical Reviews. The reader with some familiarity with both recursion theory and logic should find this an excellent source for the interconnections between them." --Choice"Smullyan is not only an outstanding authority on this subject, but is also a skilled pedagogue, with a special talent for formulating simple r
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. Raymond M. Smullyan, an internationally known mathematical logician, is the author of several books including Alice in Puzzle Land, This Book Needs No Title, and Five Thousand B.C. and Other Philosophical Fantasies