Logic with trees: an introduction to symbolic logic
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London u.a.
Routledge
1997
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 197 S. graph. Darst. |
| ISBN: | 0415133416 0415133424 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804125802724327424 |
|---|---|
| adam_text | LOGIC WITH TREES AN INTRODUCTION TO SYMBOLIC LOGIC COLIN HOWSON LONDON
AND NEW YORK CONTENTS ACKNOWLEDGMENTS X INTRODUCTION XI PART I
TRUTH-FUNCTIONAL LOGIC 1 THE BASICS 3 1 DEDUCTIVELY VALID INFERENCE 3 2
SYNTAX: CONNECTIVES AND THE PRINCIPLE OF COMPOSITION 5 3 SEMANTICS:
TRUTH-FUNCTIONALITY 6 4 NEGATION AND CONJUNCTION 1 5 DISJUNCTION 9 6
TRUTH-FUNCTIONAL EQUIVALENCE 10 7 THE CONDITIONAL 11 8 SOME OTHER
CONNECTIVES, AND THE BICONDITIONAL 13 2 TRUTH TREES 16 1
TRUTH-FUNCTIONALLY VALID INFERENCE 16 2 CONJUGATE TREE DIAGRAMS 18 3
TRUTH TREES 21 4 TAUTOLOGIES AND CONTRADICTIONS 28 3 PROPOSITIONAL
LANGUAGES 31 1 PROPOSITIONAL LANGUAGES 31 2 OBJECT-LANGUAGE AND
METALANGUAGE 32 3 ANCESTRAL TREES 33 4 AN INDUCTION PRINCIPLE 34 5
MULTIPLE CONJUNCTIONS AND DISJUNCTIONS 38 6 THE DISJUNCTIVE NORMAL FORM
THEOREM 40 7 ADEQUATE SETS OF CONNECTIVES 44 8* THE DUALITY PRINCIPLE 45
9* CONJUNCTIVE NORMAL FORMS 47 VIII CONTENTS 4 SOUNDNESS AND
COMPLETENESS 1 THE STANDARD PROPOSITIONAL LANGUAGE 2 TRUTH TREES AGAIN 3
TRUTH-FUNCTIONAL CONSISTENCY, TRUTH-FUNCTIONALLY VALID INFERENCES, AND
TREES 4* SOUNDNESS AND COMPLETENESS THEOREMS PART II FIRST-ORDER LOGIC 5
INTRODUCTION 1 SOME NON-TRUTH-FUNCTIONAL INFERENCES 2 QUANTIFIERS AND
VARIABLES 3 RELATIONS 4 FORMALISING ENGLISH SENTENCES 6 FIRST-ORDER
LANGUAGES: SYNTAX AND TWO MORE TREE RULES 1 FIRST-ORDER LANGUAGES 2 TWO
MORE TREE RULES 3 TREE PROOFS 7 FIRST-ORDER LANGUAGES: SEMANTICS /
INTERPRETATIONS 2 FORMULAS AND TRUTH 3 THE TREE RULES REVISITED 48 48 49
53 57 63 63 66 68 70 77 77 80 85 89 89 93 96 4 CONSISTENCY AND VALIDITY
97 5 LOGICAL TRUTH AND LOGICAL EQUIVALENCE 99 8 SOUNDNESS AND
COMPLETENESS 102 / APPLYING THE TREE RULES 102 2 BRANCH MODELS 104 3*
SOUNDNESS AND COMPLETENESS THEOREMS 107 4* COMPACTNESS 112 9 IDENTITY
115 1 IDENTITY 115 2 TREE RULES FOR IDENTITY 118 3 SOME ARITHMETIC 122
FUNCTIONS AND FUNCTION SYMBOLS 123 5 WORKING WITH EQUATIONS 126 6 IS
IDENTITY PART OF LOGIC? 129 10 ALTERNATIVE DEDUCTIVE SYSTEMS FOR
FIRST-ORDER LOGIC 132 1 INTRODUCTION 132 CONTENTS IX 2 H 132 3 ND 134 4
COMPARISONS 139 5 INTUITIONISM 139 11 FIRST-ORDER THEORIES 142 1
FIRST-ORDER THEORIES 14 2 2 INFINITE CARDINALS 144 3 LOWENHEIM*SKOLEM
THEOREMS 146 4 SECOND-ORDER LANGUAGES 147 5 COMPLETENESS 148 6 77IE //AR
PARADOX 155 12 BEYOND THE FRINGE 161 1 COUNTERFACTUAL CONDITIONALS 161 2
MODAL PROPOSITIONAL LOGIC 166 3 INDICATIVE CONDITIONALS AND *» 169 4
CONCLUSION 173 LIST OF NOTATION 175 ANSWERS TO SELECTED EXERCISES 178
REFERENCES 189 NAME INDEX 191 SUBJECT INDEX 193
|
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| indexdate | 2024-07-09T18:07:21Z |
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| isbn | 0415133416 0415133424 |
| language | English |
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| physical | XIII, 197 S. graph. Darst. |
| publishDate | 1997 |
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| spelling | Howson, Colin 1945-2020 Verfasser (DE-588)1017699038 aut Logic with trees an introduction to symbolic logic Colin Howson 1. publ. London u.a. Routledge 1997 XIII, 197 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Logique - 19e siècle ram Logique symbolique et mathématique ram Symbolische logica gtt Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Mathematische Logik (DE-588)4037951-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007587443&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Howson, Colin 1945-2020 Logic with trees an introduction to symbolic logic Logique - 19e siècle ram Logique symbolique et mathématique ram Symbolische logica gtt Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4151278-9 |
| title | Logic with trees an introduction to symbolic logic |
| title_auth | Logic with trees an introduction to symbolic logic |
| title_exact_search | Logic with trees an introduction to symbolic logic |
| title_full | Logic with trees an introduction to symbolic logic Colin Howson |
| title_fullStr | Logic with trees an introduction to symbolic logic Colin Howson |
| title_full_unstemmed | Logic with trees an introduction to symbolic logic Colin Howson |
| title_short | Logic with trees |
| title_sort | logic with trees an introduction to symbolic logic |
| title_sub | an introduction to symbolic logic |
| topic | Logique - 19e siècle ram Logique symbolique et mathématique ram Symbolische logica gtt Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd |
| topic_facet | Logique - 19e siècle Logique symbolique et mathématique Symbolische logica Logic, Symbolic and mathematical Mathematische Logik Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007587443&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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