David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy. While there are already several well-known textbooks on mathematical logic, this book is unique in that it is much more concise than most others, and the material is treated in a streamlined fashion which allows the professor to cover many important topics in a one semester course. Although the book is intended for use as a graduate text, the first three chapters could be understood by undergraduates interested in mathematical logic. These initial chapters cover just the material for an introductory course on mathematical logic combined with the necessary material from set theory. This material is of a descriptive nature, providing a view towards decision problems, automated theorem proving, non-standard models and other subjects. The remaining chapters contain material on logic programming for 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. The author has provided exercises for each chapter, as well as hints to selected exercises. About the German edition: …The book can be useful to the student and lecturer who prepares a mathematical logic course at the university. What a pity that the book is not written in a universal scientific language which mankind has not yet created. - A.Nabebin, Zentralblatt.
|Keywords||Logic, Symbolic and mathematical|
|Categories||categorize this paper)|
|Buy the book||$5.00 used (90% off) $20.00 new (60% off) $50.93 direct from Amazon (28% off) Amazon page|
|Call number||QA9.R26513 2006|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
M. W. Liebeck (2006). A Concise Introduction to Pure Mathematics. Chapman & Hall/Crc.
Volker Peckhaus (1999). 19th Century Logic Between Philosophy and Mathematics. Bulletin of Symbolic Logic 5 (4):433-450.
Paul C. Rosenbloom (1950/2005). The Elements of Mathematical Logic. New York]Dover Publications.
Hao Wang (1981/1993). Popular Lectures on Mathematical Logic. Dover Publications.
Richard Kaye (2007). The Mathematics of Logic: A Guide to Completeness Theorems and Their Applications. Cambridge University Press.
Joel W. Robbin (1969/2006). Mathematical Logic: A First Course. Dover Publications.
P. T. Johnstone (1987). Notes on Logic and Set Theory. Cambridge University Press.
J. L. Bell (1977). A Course in Mathematical Logic. Sole Distributors for the U.S.A. And Canada American Elsevier Pub. Co..
René Cori (2000). Mathematical Logic: A Course with Exercises. Oxford University Press.
Alfred Tarski (1994). Introduction to Logic and to the Methodology of the Deductive Sciences. Oxford University Press.
Added to index2009-01-28
Total downloads19 ( #98,760 of 1,413,361 )
Recent downloads (6 months)2 ( #94,237 of 1,413,361 )
How can I increase my downloads?