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Bibliographic Details
Main Authors:	Carnielli, Walter Alexandre 1952- (Author), Pizzi, Claudio 1944- (Author)
Format:	Book
Language:	English
Published:	[Dordrecht] Springer Science + Business Media 2008
Series:	Logic, epistemology, and the unity of science 12
Subjects:	Modality (Logic) Modallogik Epistemische Logik Temporale Logik Lehrbuch
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016661445&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XIII, 303 S. 235 mm x 155 mm
ISBN:	9781402085895 9781402085901

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Record in the Search Index

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adam_text	CONTENTS PREFACE 1 MODALLOGIC AND STANDARD LOGIC 1.1 MODAL NOTIONS AND QUANTIFIERS . 1.2 A NON-MODAL BASIS FOR MODALLOGICS 1.3 THE SEMANTICAL ANALYSIS OF PC . . 1.4 CONSTRUCTIVE COMPLETENESS OF PC . . 1.5 DECIDABILITY OF PC . . . . . . . . . . . 1.6 POST-COMPLETENESS AND OTHER PROPERTIES OF PC . 1.7 EXERCISES.... 1.8 FURTHER READING . . . . . . . . . . 2 THE SYNTAX OF NORMAL MODAL SYSTEMS 2.1 THE RELATIONSHIP AMONG MODAL OPERATORS 2.2 MINIMAL PROPERTIES OF MODAL SYSTEMS 2.3 SYSTEMS BETWEEN K AND S5 . 2.4 MODALITIES IN S5 2.5 EXERCISES.... 2.6 FURTHER READING 3 THE SEMANTICS OF NORMAL MODAL SYSTEMS 3.1 MATRICES AND DUGUNDJI/S THEOREM . 3.2 CAMAPIAN MODELS AND RELATIONAL MODELS . 3.3 CORRESPONDENCE THEORY AND BISIMULATIONS . 3.4 THE METHOD OF RELATIONAL TABLEAUX . 3.5 EXERCISES..... 3.6 FURTHER READING . . . . . . . . . . . . VII 1 1 4 9 12 14 17 19 22 25 25 31 34 43 46 48 49 49 53 64 72 81 84 XI XUE CONTENTS 4 COMPLETENESS AND CANONICITY 87 4.1 THE CONSTRUCTIVE COMPLETENESS OF K AND KT . 87 4.2 COMPLETENESS BY HENKIN S METHOD . . 92 4.3 COMPLETENESS: MODELS VERSUS FRAMES . 104 4.4 THE LOGIC OF ARITHMETICAL PROVABILITY 107 4.5 EXERCISES.... 114 4.6 FURTHER READING . . . . . . . . 115 5 INCOMPLETENESS AND FINITE MODELS 117 5.1 AN INCOMPLETENESS RESULT. . . . . . . . 117 5.2 FINITE MODEL PROPERTY AND FILTRATIONS . 123 5.3 EXERCISES.... 136 5.4 FURTHER READING . . . . . . . . . . . . . 138 6 TEMPORALLOGICS 141 6.1 LOGICS WITH TWO PRIMITIVE MODAL OPERATORS 141 6.2 COMPLETENESS AND INCOMPLETENESS OF PF-IOGICS . 156 6.3 MONOMODAL FRAGMENTS OF PF-IOGICS. . . . . . . . 162 6.4 OTHER TEMPORAL SYSTEMS . . . . . . . . . . . . . . 166 6.5 US-IOGICS,METRIC TENSE LOGICS AND HYBRID LOGICS . 174 6.6 EXERCISES.... 178 6.7 FURTHER READING . . . . . . . . . . . . . . . . . . . . 180 7 EPISTEMIC LOGIC: KNOWLEDGE AND BELIEF 183 7.1 TO KNOW, TO BELIEVE AND THEIR DIFFICULTIES 183 7.2 KNOWLEDGE, BELIEF AND AGENTS . . . 187 7.3 THE MINIMALLOGIC OF KNOWLEDGE .... 189 7.4 THE SYSTEMS KM,KT NL, S4MAND S5M . . . 194 7.5 COMMON KNOWLEDGE AND IMPLICIT KNOWLEDGE . 196 7.6 THE LOGIC OF BELIEF 200 7.7 EXERCISES.... 202 7.8 FURTHER READING 203 8 MULTIMODALLOGICS 205 8.1 WHAT ARE MULTIMODALITIES? . . . . . . 205 8.2 MULTIMODALLANGUAGES . . . . . . . . 206 8.3 THE ELEMENTARY MULTIMODAL SYSTEMS 209 8.4 AXIOMS FOR MULTIMODALLOGICS . . . . 213 8.5 MULTIMODAL SYSTEMS AND STRICT IMPLICATION 220 8.6 MULTIMODAL MODELS AND COMPLETENESS . . . 222 CONTENTS 8.7 EXERCISES .... 8.8 FURTHER READING 9 TOWARDS QUANTIFIED MODALLOGIC 9.1 PROPOSITIONAL QUANTIFIERS . 9.2 NECESSARY AND CONTINGENT IDENTITIES . 9.3 THE PROBLEM OF COMPLETENESS IN FIRST-ORDER MODALLOGIC . 9.4 INCLUSIVE DOMAINS AND ARBITRARY DOMAINS 9.5 QUANTIFICATION AND MULTIMODALITIES . 9.6 EXERCISES.... 9.7 FURTHERREADING . BIBLIOGRAPHY INDEX OF NAMES INDEX OF NOTATION INDEX OF SUBJECTS XIUE 235 237 241 241 250 256 263 267 270 271 273 289 293 297
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author	Carnielli, Walter Alexandre 1952- Pizzi, Claudio 1944-
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discipline	Psychologie Philosophie
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isbn	9781402085895 9781402085901
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series	Logic, epistemology, and the unity of science
series2	Logic, epistemology, and the unity of science
spellingShingle	Carnielli, Walter Alexandre 1952- Pizzi, Claudio 1944- Modalities and multimodalities Logic, epistemology, and the unity of science Modality (Logic) Modallogik (DE-588)4074914-9 gnd Epistemische Logik (DE-588)4152538-3 gnd Temporale Logik (DE-588)4137542-7 gnd
subject_GND	(DE-588)4074914-9 (DE-588)4152538-3 (DE-588)4137542-7 (DE-588)4123623-3
title	Modalities and multimodalities
title_auth	Modalities and multimodalities
title_exact_search	Modalities and multimodalities
title_full	Modalities and multimodalities Walter Carnielli ; Claudio Pizzi. With the assistance and collaboration of ...
title_fullStr	Modalities and multimodalities Walter Carnielli ; Claudio Pizzi. With the assistance and collaboration of ...
title_full_unstemmed	Modalities and multimodalities Walter Carnielli ; Claudio Pizzi. With the assistance and collaboration of ...
title_short	Modalities and multimodalities
title_sort	modalities and multimodalities
topic	Modality (Logic) Modallogik (DE-588)4074914-9 gnd Epistemische Logik (DE-588)4152538-3 gnd Temporale Logik (DE-588)4137542-7 gnd
topic_facet	Modality (Logic) Modallogik Epistemische Logik Temporale Logik Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016661445&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV019709027
work_keys_str_mv	AT carnielliwalteralexandre modalitiesandmultimodalities AT pizziclaudio modalitiesandmultimodalities

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