Symbolic Logic: A First Course
by Gary Hardegree
Publisher: Mcgraw-Hill College 1999
Number of pages: 468
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; Derivations in Predicate Logic.
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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 P.D. Magnus
An introduction to sentential logic and first-order predicate logic with identity, logical systems that influenced twentieth-century analytic philosophy. The book should help students understand quantified expressions in their philosophical reading.
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Russell's classic sets forth his landmark thesis that mathematics and logic are identical -- that what is called mathematics is simply later deductions from logical premises. His ideas have had a profound influence on the foundations of mathematics.
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The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming. The programming language that will be our tool for this is Haskell, a member of the Lisp family.