This classic introduction to the main areas of mathematical logic provides the basis for a first graduate course in the subject. It embodies the viewpoint that mathematical logic is not a collection of vaguely related results, but a coherent method of attacking some of the most interesting problems, which face the mathematician. The author presents the basic concepts in an unus...(展开全部)

Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text by one of the centuries greatest authorities. Part I offers an elementary but thorough overview of mathematical logic of first order. Part II introduces some of the newer ideas and the more profound results of logical research in the twentieth centur...(展开全部)

This introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines. It covers several advanced topics not commonly treated in introductory texts, such as Fraisse's characterization of elementary equivalence, Lindstro...(展开全部)

Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed wit...(展开全部)

Explores additional important decidability results in this thoroughly updated new edition Introduces mathematical logic by analyzing foundational questions on proofs and provability in mathematics Highlights the capabilities and limitations of algorithms and proof methods both in mathematics and computer science Examines advanced topics, such as linking logic with computability...(展开全部)

Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed wit...(展开全部)

Comprehensive account of constructive theory of first-order predicate calculus. Covers formal methods including algorithms and epi-theory, brief treatment of Markov's approach to algorithms, elementary facts about lattices and similar algebraic systems, more. Philosophical and reflective as well as mathematical. Graduate-level course. 1963 edition. Exercises.

约翰·N．克罗斯利（John N. Crossley） 英国数学家、逻辑学家。1963年于牛津大学获得哲学博士学位与数学硕士学位。毕业后成为牛津大学头一位数理逻辑教师，牛津大学万灵学院研究员。自1968年起，长期任教于澳大利亚莫纳什大学，并于2010年成为该校荣休教授。 主要研究领域为逻辑、数学和计算机科学。著有《构成性序型》（Constructive Order Types，1969）、《数理逻辑是什么》（What Is Mathematical Logic?，1972，合著）、《组合函子》（Combinatorial Functors，1974，合著）、《数的出现》（The Emergence of Number，1987）、《九章算术：导读与注释》（The Nine Chapters on the Mathematical Art: Compa...(展开全部)