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Course in Mathematical Logic






Publisher:  Springer
Summary: This book is a text of mathematical logic on a sophisticated level, presenting the reader with several of the most significant discoveries of the last 10 to 15 years, including the independence of the continuum hypothesis, the Diophantine nature of enumerable sets and the impossibility of finding an algorithmic solution for certain problems. The book contains the first textbook presentation of Matijasevic's result. T...he central notions are provability and computability; the emphasis of the presentation is on aspects of the theory which are of interest to the working mathematician. Many of the approaches and topics covered are not standard parts of logic courses; they include a discussion of the logic of quantum mechanics, Goedel's constructible sets as a sub-class of von Neumann's universe, the Kolmogorov theory of complexity. Feferman's theorem on Goedel formulas as axioms and Highman's theorem on groups defined by enumerable sets of generators and relations. A number of informal digressions concerned with psychology, linguistics, and common sense logic should interest students of the philosophy of science or the humanities.

Manin, Yu I. is the author of Course in Mathematical Logic, published under ISBN 9780387902432 and 0387902430. Two Course in Mathematical Logic textbooks are available for sale on ValoreBooks.com, one used from the cheapest price of $57.33, or buy new starting at $72.21.
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Course in Mathematical Logic

ISBN-13: 9780387902432

ISBN: 0387902430

Publisher: Springer
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