Author(s): Hodges, Wilfrid
Publisher: Penguin
Year: 1977
Language: English
Pages: 292
City: London, New York
Tags: Logic.
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 "->
" 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.
