A Manual of Intensional Logic
by Johan van Benthem
Publisher: CSLI 1988
Number of pages: 147
An examination of the role of partial information -- with illustrations drawn from different branches of Intensional Logic -- and various influences stemming from current theories of the semantics of natural language, involving generalized quantifiers and theories of types.
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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.
An undergraduate college level textbook covering first order predicate logic with identity but omitting metalogical proofs. The first rules of formal logic were written over 2300 years ago by Aristotle and are still vital.
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.