'A lively and stimulating book' Philosophy
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. 'A lively and stimulating book' Philosophy
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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, this work takes the reader through the whole gamut of logical expressions in a simple way.
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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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Produktdetaljer
ISBN
9780141003146
Publisert
2002
Utgiver
Vendor
Penguin Books Ltd
Vekt
215 gr
Høyde
198 mm
Bredde
130 mm
Dybde
13 mm
Aldersnivå
01, G, 01
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
304
Forfatter