An introduction to formal logic Peter Smith

eng

Bibliografie p. 348
Index p. 352

What is logic? -- Validity and soundness -- Patterns of inference -- The counterexample technique -- Proofs -- Validity and arguments -- Interlude: Logic, formal and informal -- Three propositional connectives -- The syntax of PL -- The semantics of PL -- 'A's and 'B's, 'P's and 'Q's -- Truth functions -- Tautologies -- Tautological entailment -- Interlude: Propositional logic -- PLC and the material conditional -- More on the material conditional -- Introducing PL trees -- Rules for PL trees -- PLC trees -- PL trees vindicated -- Trees and proofs -- Interlude: After propositional logic -- Quantifiers -- QL introduced -- QL explored -- More QL translations -- Introducing QL trees -- The syntax of QL -- Q-valuations -- Q-validity -- More on QL trees -- Qt trees vindicated -- Interlude: Developing predicate logic -- Extensionality -- Identity -- The language QL[superscript =] -- Descriptions and existence -- Trees for identity -- Functions.

"In this book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic."--Jacket