The Art of Logic
by Nuel Belnap
Publisher: University of Pittsburgh 2009
Number of pages: 314
Contents: Grammar; The art of the logic of truth-functional connectives; Quantifier proofs; A modicum of set theory; Symbolizing English quantifiers; Quantifier semantics - interpretation and counterexample; Theories; Definitions.
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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 Christopher C. Leary, Lars Kristiansen - Milne Library Publishing
In this book, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study.
by Stephen G. Simpson - The Pennsylvania State University
This is a set of lecture notes from a 15-week graduate course at the Pennsylvania State University. The course covered some topics which are important in contemporary mathematical logic and foundations but usually omitted from introductory courses.
by Uli Furbach - Wikibooks
This book is intended for computer scientists and it assumes only some basic mathematical notions like relations and orderings. The aim was to create an interactive script where logics can be experienced by interaction and experimentation.