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 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 Bertrand Russell - University of Massachusetts Amherst
A very accessible mathematical classic. It sets forth in elementary form the logical definition of number, the analysis of the notion of order, the modern doctrine of the infinite, and the theory of descriptions and classes as symbolic fictions.
by Robert Goldblatt - Center for the Study of Language
Sets out the basic theory of normal modal and temporal propositional logics, applies this theory to logics of discrete, dense, and continuous time, to the temporal logic of henceforth, next, and until, and to the dynamic logic of regular programs.