A Concise Introduction to Mathematical Logic

出版者:Springer

作者:Wolfgang Rautenberg

页数:320

出版时间:2009-12-17

价格:USD 69.95

装帧:Paperback

isbn号码:9781441912206

图书标签:Logic计算机科学数理逻辑逻辑计算机数学First-order-Logic邏輯

Traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to the Stoics and to Aristotle. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, and others to create a logistic foundation for mathematics. It steadily developed during the twentieth century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy. This book treats the most important material in a concise and streamlined fashion. The third edition is a thorough and expanded revision of the former. Although the book is intended for use as a graduate text, the first three chapters can easily be read by undergraduates interested in mathematical logic. These initial chapters cover the material for an introductory course on mathematical logic, combined with applications of formalization techniques to set theory. Chapter 3 is partly of descriptive nature, providing a view towards algorithmic decision problems, automated theorem proving, non-standard models including non-standard analysis, and related topics. The remaining chapters contain basic material on logic programming for logicians and computer scientists, model theory, recursion theory, Godel's Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed throughout the text. Each section of the seven chapters ends with exercises some of which of importance for the text itself. There are hints to most of the exercises in a separate file Solution Hints to the Exercises which is not part of the book but is available from the author's website.

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Travel reading for trip back from D.C. (The girl driving was way too hot.)

Travel reading for trip back from D.C. (The girl driving was way too hot.)

Travel reading for trip back from D.C. (The girl driving was way too hot.)

数理逻辑问题，卡死在第9章，发现好多基础证明都忘了。数学也是一种技能之一，没有先天先验什么的，太久没看肯定能忘，以前还默写过证明π是无理数呢，现在连起步都忘了

数理逻辑问题，卡死在第9章，发现好多基础证明都忘了。数学也是一种技能之一，没有先天先验什么的，太久没看肯定能忘，以前还默写过证明π是无理数呢，现在连起步都忘了