by H. Andreka, I. Nemeti, I. Sain
Number of pages: 129
Part I of the book studies algebras which are relevant to logic, e.g. algebras which were obtained from logics. Part II deals with the methodology of solving logic problems by (i) translating them to algebra (the process of algebraization), (ii) solving the algebraic problem, and (iii) translating the result back to logic.
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by Edward Nelson - Princeton Univ Pr
The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.
by Bertrand Russell - W. W. Norton & Company
Russell's classic sets forth his landmark thesis that mathematics and logic are identical -- that what is called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on the foundations of mathematics.
An undergraduate college level textbook covering first order predicate logic with identity but omitting metalogical proofs. The first rules of formal logic were written over 2300 years ago by Aristotle and are still vital.
This book provides a survey of mathematical logic and its various applications. After covering basic material of propositional logic and first-order logic, the course presents the foundations of finite model theory and descriptive complexity.