Logic: An Introduction to Elementary Logic

✍ Scribed by Wilfrid Hodges

• Publisher: Penguin
• Year: 1977
• Tongue: English
• Leaves: 328
• Series: A pelican original
• Edition: First Edition
• Category: Library

✦ Synopsis

If a man supports Arsenal one day and Spurs the next, then he is fickle but not necessarily illogical. From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material.

✦ Table of Contents

Content: Part 1 Consistency: consistent sets of beliefs. Part 2 Expressing beliefs in sentences: beliefs and words
declarative sentences
ambiguity. Part 3 When is a sentence true?: truth and references
borderline cases and bizarre situations
misleading statements
possible situations and meanings. Part 4 Testing for consistency and validity: consistent sets of short sentences
the tableau technique
arguments. Part 5 How are complex sentences built up?: phrase-classes
phrase-markers
scope
context-free grammars. Part 6 Logical analysis: sentence-functors and truth-functors
some basic truth-functors
special problems with "-&gt
" and ""
analyis of complex sentences. Part 7 Sentence tableaux: sentence tableaux
interpretations. Part 8 Propositional calculus: a formal language
truth-tables
properties of semantic entailment
formal tableaux. Part 9 Designators and identity: designators and predicates
purely referential occurrences
two policies on reference
identity. Part 10 Relations: satisfaction
binary relations
"same", "at least" and "more"
equivalence relations. Part 11 Quantifiers: quantification
"all" and "some"
quantifier rules. Part 12 Predicate logic: logical scope
analyses using identity
predicate interpretations
predicate tableaux
formalization again. Part 13 Horizons of logic: likelihood
intension
semantics.

✦ Subjects

Logic