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 Gary Hardegree - Mcgraw-Hill College
Contents: Basic Concepts of Logic; Truth-Functional Connectives; Validity in Sentential Logic; Translations in Sentential Logic; Derivations in Sentential Logic; Translations in Monadic Predicate Logic; Translations in Polyadic Predicate Logic; etc.
by Stefan Bilaniuk
An introduction to mathematical logic for undergraduates. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints. The idea is to learn the material by solving the problems.
by Edward Nelson - Princeton Univ Pr
The book based on lecture notes of a course given at Princeton University in 1980. From the contents: the impredicativity of induction, the axioms of arithmetic, order, induction by relativization, the bounded least number principle, and more.
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.