Logic: An Introduction to Elementary Logic [First Edition] 0140219854, 9780140219852, 9780141003146, 0141003146

If a man supports Arsenal one day and Spurs the next, then he is fickle but not necessarily illogical. From this startin

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English Pages 336 [328] Year 1977

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Logic: An Introduction to Elementary Logic [First Edition] 0140219854, 9780140219852, 9780141003146, 0141003146

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 "->
" 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.

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