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Symbolic Logic

Syntax, Semantics, and Proof

David Agler

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings. « less more »
Rowman & Littlefield Publishers
Pages: 500Size: 7 1/4 x 10 1/4
978-1-4422-1741-6 • Hardback • December 2012 • $139.00 • (£90.00)
978-1-4422-1742-3 • Paperback • December 2012 • $76.00 • (£49.95)
Subjects: Philosophy / Logic
David Agler is a lecturer in philosophy at the Pennsylvania State University.
Chapter 1 Propositions, Arguments, and Logical Properties
Chapter 2 Language, Syntax, and Semantics
Chapter 3 Truth Tables
Chapter 4 Truth Trees
Chapter 5 Propositional Logic Derivations
Chapter 6 Predicate Language, Syntax, and Semantics
Chapter 7 Predicate Truth Trees
Chapter 8 Predicate Logic Derivations
Further Reading
The author provides visually convincing examples that illustrate the concepts of symbolic logic effectively, a feature not commonly found in similar textbooks. The abundance of sample symbolizations and proofs in this book makes it ideal for classroom use.
Masato Ishida, University of Hawaii

Agler's Symbolic Logic: Syntax, Semantics, and Proof is a remarkably clear and systematic introduction to first-order formal logic. Notably, Agler does an excellent job in showing why we use these particular rules through multiple examples and step-by-step explanations of how they develop from general considerations of meaning and truth. This method of building up to the rules of symbolic logic will be incredibly helpful in improving student understanding, since it presents the formalism as something to be understood, rather than simply memorized.
Daniel Brunson, Morgan State University

hundreds of homework problems with solutions

step-by-step examples that guide you through problems

An “example first’ orientation to learning logic

End of chapter glossary for key terms and definitions

Important examples that teach you how not to reason

clearly explained strategies that make solving proofs easier

Lists of suggested further reading