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Deductive Logic in Natural Language by Douglas Cannon (2002, Trade Paperback)
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About this product
Product Identifiers
PublisherBroadview Press
ISBN-101551114453
ISBN-139781551114453
eBay Product ID (ePID)2749214
Product Key Features
Number of Pages302 Pages
Publication NameDeductive Logic in Natural Language
LanguageEnglish
Publication Year2002
SubjectLanguage, Logic
TypeTextbook
AuthorDouglas Cannon
Subject AreaPhilosophy
FormatTrade Paperback
Dimensions
Item Height0.6 in
Item Weight19.6 Oz
Item Length9 in
Item Width7 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2003-541670
Dewey Edition22
Dewey Decimal401
Table Of ContentPreface Acknowledgments Abbreviations I. Fundamentals Propositions and sentences--the basic units of logic and language Truth and (declarative) sentences Consistency and sets of sentences Validity and arguments Exercises II. Stories and Situations Reference and truth Meaning and truth Might have beens Truth with respect to a situation Exercises III. Establishing Inconsistency with Tableaux Obvious inconsistency Semantic tableaux: dividing and conquering Efficiencies in tableaux A tableau that closes Exercises IV. Extending the Tableau Technique Counter sets and validity Resolving reference Additional constructions When can a sentence be checked? Exercises V. Generative Grammar What we mean by a grammar Phrase-structure grammars; Phrase-markers Transformations Syntactic ambiguity Exercises VI. Logical Analysis of Complex Sentences "If s," "And's," or "But's": Conjunctions and sentence connectives Rule-governed sentence connectives in tableaux Transformations in logical analysis; Grouping The reach of rules; Negated conditionals Tableaux constructed by rules Exercises VII. Logical Analysis of Simple Sentences: Identity and Other Relations Designators and predicates Properties and relations; Types of relations The peculiar relation of identity Tableau rules for identity Exercises VIII. Logical Analysis of Simple Sentences: One-Word Quantifiers Quantifiers in general The simplest quantifiers: "everyone," "someone," and "no one" Tableau rules for the simplest quantifiers The simplest quantifiers in tableaux "Anyone," quantifier scope, and anaphoric pronouns Exercises IX. Quantifier Expressions and Syllogisms The universal quantifier Relative pronouns, and the existential and nihilistic quantifiers Tableaux for syllogisms and other arguments "Anyone" and logical equivalence Things, times, and places Exercises Appendix: Truth-Functional Logic Review: Tableau rules for sentence connectives Three levels of symbolization Symbolic languages for algebra Truth-functions and their computational tables Truth tables and calculating truth-values Constructing an arbitrary function; Normal form Exercises For Reading and Reference Index
SynopsisThis text offers an innovative approach to the teaching of logic, which is rigorous but entirely non-symbolic. By introducing students to deductive inferences in natural language, the book breaks new ground pedagogically. Cannon focuses on such topics as using a tableaux technique to assess inconsistency; using generative grammar; employing logical analyses of sentences; and dealing with quantifier expressions and syllogisms. An appendix covers truth-functional logic., This text offers an innovative approach to the teaching of logic, which is rigorous but entirely non-symbolic.
LC Classification NumberP98
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