A Course in Mathematical Logic
by Iu I Manin;Neal Manin Yu IKoblitz (9780387902432)

A Course in Mathematical Logic
 

Iu I Manin;Neal Manin Yu IKoblitz


Release Date: 19 December 1977
Format: Hardcover
Pages: 286
Category: Logic
ISBN: 9780387902432
ISBN-10: 0387902430



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. The 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.

AUD $117.95

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