An edition of The Logic Book
(1980)
The logic book
5th ed.
by Merrie Bergmann
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The Logic Book (4th Edition)
September 26, 2003, McGraw-Hill Humanities/Social Sciences/Languages
Hardcover
in English
- 4 edition
0072401893 9780072401899
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Book Details
Published in
Boston
Table of Contents
Basic notions of logic
Background
Why study logic?
Sentences, truth-values, and arguments
Deductive validity and soundness
Inductive arguments
Logical consistency, truth, falsity, and equivalence
Special cases of validity
Sentential logic : symbolization and syntax
Symbolization and truth-functional connectives
Syntax complex symbolizations
Non-truth-functional connectives
The syntax of SL
Sentential logic : semantics
Truth-value assignments and truth-tables for sentences
Truth-functional truth, falsity, and indeterminacy
Truth-functional equivalence
Truth-functional consistency
Truth-functional entailment and truth-functional validity
Truth-functional properties and truth-functional consistency
Sentential logic : truth-trees
The truth-tree method
Truth-tree rules for sentences containing
Rules for sentences containing and more complex truth-trees
Using truth-trees to test for truth-functional truth, falsity, and indeterminacy
Truth-functional equivalence
Truth-functional entailment and truth-functional validity
Sentential logic : derivations
The derivation system SD
Basic concepts of SD
Strategies for constructing derivations in SD
The derivation system SD1
Sentential logic : metatheory
Mathematical induction
Truth-functional completeness
The soundness of SD and SD1
The completeness of SD and SD1
Predicate logic : symbolization and syntax
The limitations of SL
Predicates, individual constants, and quantity terms of English
Introduction to PL
Quantifiers introduced
The formal syntax of PL
A, E, I, O, U and O sentences
Symbolization techniques
Multiple quantifiers with overlapping scope
Identity, definite descriptions, properties of relations, and functions
Predicate logic : semantics
Informal semantics for PL
Quantificational truth, falsehood, and indeterminacy
Quantificational equivalence and consistency
Quantificational entailment and validity
Truth-functional expansions
Semantics for predicate logic with identity and functors
Formal semantics of PL and PLE
Predicate logic : truth-trees
Expanding the rules for truth-trees
Truth-trees and quantificational consistency
Truth-trees and other semantic properties
Fine-tuning the tree method
Trees for PLE
Fine-tuning the tree method for PLE
Predicate logic : derivations
The derivation system PD
Using derivations to establish syntactic properties of pd
The derivation system PD1
The derivation system PDE
Predicate logic : metatheory
Semantic preliminaries for PL
Semantic preliminaries for PLE
The soundness of PD and PDE
The completeness of PD, PD1, and PDE
The soundness of the tree method
The completeness of the tree metho.
Edition Notes
Includes bibliographical references and index.
Classifications
The Physical Object
ID Numbers
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| December 19, 2023 | Edited by ImportBot | import existing book |
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