Notes on the Science of Logic
by Nuel Belnap
Publisher: University of Pittsburgh 2009
Number of pages: 227
This course assumes you know how to use truth functions and quantifiers as tools. Our principal task here will be to study these very tools; we shall be engaged in part of the science of logic. Contents: Preliminaries; The logic of truth functional connectives; The first order logic of extensional predicates, operators, and quantifiers.
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by Wolfgang Rautenberg - Springer
A well-written introduction to the beautiful and coherent subject. It contains classical material such as logical calculi, beginnings of model theory, and Goedel's incompleteness theorems, as well as some topics motivated by applications.
by Vilnis Detlovs, Karlis Podnieks - University of Latvia
From the table of contents: 1. Introduction. What Is Logic, Really?; 2. Propositional Logic; 3. Predicate Logic; 4. Completeness Theorems (Model Theory); 5. Normal Forms. Resolution Method; 6. Miscellaneous (Negation as Contradiction or Absurdity).
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.
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.