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E-book
Author Humberstone, Lloyd

Title The connectives / Lloyd Humberstone
Published Cambridge, Mass. : MIT Press, ©2011

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Description 1 online resource (xvii, 1492 pages)
Contents Machine generated contents note: 0. Preliminaries -- 0.1. Connections And Combinations -- 0.1.1. Relational Connections and Posets -- 0.1.2. Galois Connections -- 0.1.3. Lattices and Closure Operations -- 0.1.4. Modes of Object Combination -- Notes and References for [ʹ]0.1 -- 0.2. Some Algebraic Concepts -- 0.2.1. Algebras -- 0.2.2. Derived Operations -- 0.2.3. Homomorphisms, Subalgebras, Direct Products -- 0.2.4. Equational Classes of Algebras -- 0.2.5. Horn Formulas -- 0.2.6. Fundamental and Derived Objects and Relations: Tuple Systems -- Notes and References for [ʹ]0.2 -- 1. Elements of Sentential Logic -- 1.1. Truth And Consequence -- 1.1.1. Languages -- 1.1.2. Consequence Relations and Valuations -- 1.1.3. #-Classical Consequence Relations and #-Boolean Valuations -- 1.1.4. Forcing Consistent Valuations to Be #-Boolean -- 1.1.5. Two Equations and the ̀Converse Proposition' Fallacy -- 1.1.6. Generalized Consequence Relations -- 1.1.7. Generalized Consequence Relations: Supplementary Discussion -- 1.1.8. Truth-Tables, and Two More Connectives: Implication and Equivalence -- 1.1.9. More Hygienic Terminology -- Notes and References for [ʹ]1.1 -- 1.2. Rules And Proof -- 1.2.1. Sequents and Frameworks -- 1.2.2. Sequents and (Generalized) Consequence Relations -- 1.2.3. Sample Natural Deduction System in SET-FMLA -- 1.2.4. Closer Look at Rules -- 1.2.5. Semantic Apparatus for Sequents and for Rules -- 1.2.6. Two Relational Connections -- 1.2.7. Sample Natural Deduction and Sequent Calculus Systems in SET-SET -- 1.2.8. Some Other Approaches to Logic in SET-SET -- 1.2.9. Axiom Systems and the Deduction Theorem -- Appendix to [ʹ]1.2: What Is a Logic? -- Notes and References for [ʹ]1.2 -- 2. Survey of Sentential Logic -- 2.1. Many-Valued Logic And Algebraic Semantics -- 2.1.1. Many-Valued Logic: Matrices
Summary A comprehensive investigation of the sentence connectives--and, or, if, not--with special attention to their logical properties
Analysis LINGUISTICS & LANGUAGE/General
PHILOSOPHY/General
Bibliography Includes bibliographical references and index
Notes English
Print version record
Subject Logic.
Grammar, Comparative and general -- Connectives.
Language and logic
PHILOSOPHY -- Logic.
Grammar, Comparative and general -- Connectives
Language and logic
Logic
Form Electronic book
ISBN 9780262298834
026229883X
1283258773
9781283258777
9786613258779
6613258776