'The Logic Manual' is the ideal introduction to logic for beginning philosophy students. It offers a concise but complete introductory course, giving a firm grounding in the logic that is needed to study contemporary philosophy.
Includes bibliographical references (pages 189-190) and index.
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Contents
Machine generated contents note: 1.1. Sets -- 1.2. Binary Relations -- 1.3. Functions -- 1.4. Non-binary Relations -- 1.5. Arguments, Validity, and Contradictions -- 1.6. Syntax, Semantics, and Pragmatics -- 2.1. Quotation -- 2.2. The Syntax of the Language of Propositional Logic -- 2.3. Rules for Dropping Brackets -- 2.4. The Semantics of Propositional Logic -- 3.1. Truth-Functionality -- 3.2. Logical Form -- 3.3. From Logical Form to Formal Language -- 3.4. Ambiguity -- 3.5. The Standard Connectives -- 3.6. Natural Language and Propositional Logic -- 4.1. Predicates and Quantification -- 4.2. The Sentences of £2 -- 4.3. Free and Bound Occurrences of Variables -- 4.4. Notational Conventions -- 4.5. Formalization -- 5.1. Structures -- 5.2. Truth -- 5.3. Validity, Logical Truths, and Contradictions -- 5.4. Counterexamples -- 6.1. Propositional Logic -- 6.2. Predicate Logic -- 7.1. Adequacy -- 7.2. Ambiguity -- 7.3. Extensionality -- 7.4. Predicate Logic and Arguments in English -- 8.1. Qualitative and Numerical Identity -- 8.2. The Syntax of L. -- 8.3. The Semantics of L., -- 8.4. Proof Rules for Identity -- 8.5. Uses of Identity -- 8.6. Identity as a Logical Constant.