Logic For Everyone
by Robert A. Herrmann
Number of pages: 124
This is an elementary book in Mathematical Logic that also covers all of the basic material in the propositional and predicate calculus. It is the result of the U. S. Naval Academy Mathematical Logic Course Project. Both the propositional and predicate calculus are presented in a unique manner. Enough material is covered so that certain topics in elementary model theory can be included and all mathematical proofs are of the most elementary nature requiring no specialized mathematical procedures. The propositional calculus is expanded considerably and many of the proof methods are used to establish the predicate calculus results. Consequnce operators are also introduced.
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by Johan van Benthem - CSLI
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.
by Nick Bezhanishvili, Dick de Jongh - Universiteit van Amsterdam
In this course we give an introduction to intuitionistic logic. We concentrate on the propositional calculus mostly, make some minor excursions to the predicate calculus and to the use of intuitionistic logic in intuitionistic formal systems.
by Stephen G. Simpson - Pennsylvania State University
Lecture notes for all mathematics graduate students. The text covers propositional calculus, predicate calculus, proof systems, extensions of the predicate calculus, theories, definability, interpretability, arithmetization and incompleteness.
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.