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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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 Gary Hardegree - UMass Amherst
Contents: Summary; Translations in Function Logic; Derivations in Function Logic; Translations in Identity Logic; Extra Material on Identity Logic; Derivations in Identity Logic; Translations in Description Logic; Derivations in Description Logic.
by Louis Couturat - Project Gutenberg
Mathematical Logic is a necessary preliminary to logical Mathematics. The present work is concerned with the 'calculus ratiocinator' aspect, and shows, in an admirably succinct form, the beauty of the calculus of logic regarded as an algebra.
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.