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Logic with trees: an introduction to symbolic logic

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Bibliographic Details
Main Author:	Howson, Colin 1945-2020 (Author)
Format:	Book
Language:	English
Published:	London u.a. Routledge 1997
Edition:	1. publ.
Subjects:	Logique - 19e siècle Logique symbolique et mathématique Symbolische logica Logic, Symbolic and mathematical Mathematische Logik Einführung
Online Access:	Inhaltsverzeichnis
Physical Description:	XIII, 197 S. graph. Darst.
ISBN:	0415133416 0415133424

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MARC


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Record in the Search Index

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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 LOWENHEIMSKOLEM 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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isbn	0415133416 0415133424
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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
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