A Concise Introduction to Mathematical Logic

• Main Author: Rautenberg, Wolfgang (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Edition: 2.
• Series: Universitext
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Mathematical logic.; Applications of Mathematics.; Mathematical Logic and Foundations.; Computational Science and Engineering.

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...

Table of Contents:

• Propositional Logic
• Predicate Logic
• Gödel’s Completeness Theorem
• The Foundations of Logic Programming
• Elements of Model Theory
• Incompleteness and Undecidability
• On the Theory of Self-Reference.