Constructive negations and paraconsistency:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
[Berlin]
Springer
2008
|
| Series: | Trends in logic
26 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 240 S. graph. Darst. |
| ISBN: | 9781402068669 1402068662 9781402068676 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS 1 INTRODUCTION I REDUCTIO AD ABSURDUM 2 MINIMAL LOGIC.
PRELIMINARY REMARKS 2.1 DEFINITION OF BASIC LOGICS 2.2 ALGEBRAIC
SEMANTICS 2.3 KRIPKE SEMANTICS . . . . . 3 LOGIC OF CLASSICAL
REFUTABILITY 3.1 MAXIMALITY PROPERTY OF LE 3.2 ISOMORPHS OF LE . 4 THE
CLASS OF EXTENSIONS OF MINIMAL LOGIC 4.1 EXTENSIONS OF LEI . . . . . . .
. . . . . . . . 4.1.1 INTUITIONISTIC AND NEGATIVE COUNTERPARTS FOR
EXTENSIONS OF LEI . . . . . . . . . . . . 4.2 INTUITIONISTIC AND
NEGATIVE COUNTERPARTS FOR EXTENSIONS OF MINIMAL LOGIC . . . . . . . . .
. . . . . . . . . . . . . 4.2.1 NEGATIVE COUNTERPARTS AS LOGICS OF
CONTRADICTIONS 4.3 THREE DIMENSIONS OF PAR . . . . . . . . . . . . . . .
. . . . 5 ADEQUATE AIGEBRAIC 8EMANTICS FOR EXTENSIONS OF MINIMAL LOGIC
5.1 GLIVENKO S LOGIC . 5.2 REPRESENTATION OF J-ALGEBRAS . 5.3
SEGERBERG S LOGICS AND THEIR SEMANTICS . 5.4 KRIPKE SEMANTICS FOR
PARACONSISTENT EXTENSIONS OF LJ 1 13 15 15 21 28 31 32 35 41 41 45 48 52
53 57 57 59 62 78 V VI CONTENTS 6 NEGATIVELY EQUIVALENT LOGICS 81 6.1
DEFINITIONS AND SIMPLE PROPERTIES . . . . . . . . . . 81 6.2 LOGICS
NEGATIVELY EQUIVALENT TO INTERMEDIATE ONES 84 6.3 ABSTRACT CLASSES OF
NEGATIVE EQUIVALENCE ..... 88 6.4 THE STRUCTURE OF JHN+ UP TO NEGATIVE
EQUIVALENCE 91 7 ABSURDITY AS U NARY OPERATOR 101 7.1
INTRODUCTION........................ 101 7.2 LE AND LUKASIEWICZ S MODAL
LOGIC . . . . . . . . . . . 104 7.3 PARADOX OF MINIMAL LOGIC AND
GENERALIZED ABSURDITY 108 7.4 A- AND C-PRESENTATIONS . . . . . . . 113
7.4.1 DEFINITIONS AND FIRST RESULTS 113 7.4.2 LOGIC CLUN . . 119 7.4.3
SETTE S LOGIC PL 123 11 STRONG NEGATION 129 8 SEMANTICAL STUDY OF
PARACONSISTENT NELSON S LOGIC 131 8.1 PRELIMINARIES . . 133 8.2 FIDEL S
SEMANTIES . . . . . . . . . . 135 8.3 TWIST-STRUETURES 138 8.3.1
EMBEDDING OF N3 INTO N4 142 8.4 N4-LATTICES............. 145 8.5 THE
VARIETY OF N4-LATTIEES . . . . 147 8.6 THE LOGIC N4..L AND
N4..L-LATTIEES 155 9 N4..L-LATTICES 159 9.1 STRUETUREOFN4..L-LATTIEES
161 9.2 HOMOMORPHISMS AND SUBDIREETLY IRREDUEIBLE N4..L-LATTIEES . 167
10 THE CLASS OF N4..L-EXTENSIONS 177 10.1 EN4..L AND INT+ . . . . . . .
. . . . . 177 10.2 THE LATTICE STRUCTURE OF EN4..L . . . 185 10.3
EXPLOSIVE AND NORMAL COUNTERPARTS 195 10.4 THE STRUCTURE OF EN4C AND
EN4..LC . 201 10.5 SOME TRANSFER THEOREMS FOR THE CLASS OF
N4..L-EXTENSIONS 211 11 CONCLUSION 223 BIBLIOGRAPHY 227 INDEX 237
|
| adam_txt |
CONTENTS 1 INTRODUCTION I REDUCTIO AD ABSURDUM 2 MINIMAL LOGIC.
PRELIMINARY REMARKS 2.1 DEFINITION OF BASIC LOGICS 2.2 ALGEBRAIC
SEMANTICS 2.3 KRIPKE SEMANTICS . . . . . 3 LOGIC OF CLASSICAL
REFUTABILITY 3.1 MAXIMALITY PROPERTY OF LE 3.2 ISOMORPHS OF LE . 4 THE
CLASS OF EXTENSIONS OF MINIMAL LOGIC 4.1 EXTENSIONS OF LEI . . . . . . .
. . . . . . . . 4.1.1 INTUITIONISTIC AND NEGATIVE COUNTERPARTS FOR
EXTENSIONS OF LEI . . . . . . . . . . . . 4.2 INTUITIONISTIC AND
NEGATIVE COUNTERPARTS FOR EXTENSIONS OF MINIMAL LOGIC . . . . . . . . .
. . . . . . . . . . . . . 4.2.1 NEGATIVE COUNTERPARTS AS LOGICS OF
CONTRADICTIONS 4.3 THREE DIMENSIONS OF PAR . . . . . . . . . . . . . . .
. . . . 5 ADEQUATE AIGEBRAIC 8EMANTICS FOR EXTENSIONS OF MINIMAL LOGIC
5.1 GLIVENKO'S LOGIC . 5.2 REPRESENTATION OF J-ALGEBRAS . 5.3
SEGERBERG'S LOGICS AND THEIR SEMANTICS . 5.4 KRIPKE SEMANTICS FOR
PARACONSISTENT EXTENSIONS OF LJ 1 13 15 15 21 28 31 32 35 41 41 45 48 52
53 57 57 59 62 78 V VI CONTENTS 6 NEGATIVELY EQUIVALENT LOGICS 81 6.1
DEFINITIONS AND SIMPLE PROPERTIES . . . . . . . . . . 81 6.2 LOGICS
NEGATIVELY EQUIVALENT TO INTERMEDIATE ONES 84 6.3 ABSTRACT CLASSES OF
NEGATIVE EQUIVALENCE . 88 6.4 THE STRUCTURE OF JHN+ UP TO NEGATIVE
EQUIVALENCE 91 7 ABSURDITY AS U NARY OPERATOR 101 7.1
INTRODUCTION. 101 7.2 LE AND LUKASIEWICZ'S MODAL
LOGIC . . . . . . . . . . . 104 7.3 PARADOX OF MINIMAL LOGIC AND
GENERALIZED ABSURDITY 108 7.4 A- AND C-PRESENTATIONS . . . . . . . 113
7.4.1 DEFINITIONS AND FIRST RESULTS 113 7.4.2 LOGIC CLUN . . 119 7.4.3
SETTE'S LOGIC PL 123 11 STRONG NEGATION 129 8 SEMANTICAL STUDY OF
PARACONSISTENT NELSON'S LOGIC 131 8.1 PRELIMINARIES . . 133 8.2 FIDEL'S
SEMANTIES . . . . . . . . . . 135 8.3 TWIST-STRUETURES 138 8.3.1
EMBEDDING OF N3 INTO N4 142 8.4 N4-LATTICES. 145 8.5 THE
VARIETY OF N4-LATTIEES . . . . 147 8.6 THE LOGIC N4.L AND
N4.L-LATTIEES 155 9 N4.L-LATTICES 159 9.1 STRUETUREOFN4.L-LATTIEES
161 9.2 HOMOMORPHISMS AND SUBDIREETLY IRREDUEIBLE N4.L-LATTIEES . 167
10 THE CLASS OF N4.L-EXTENSIONS 177 10.1 EN4.L AND INT+ . . . . . . .
. . . . . 177 10.2 THE LATTICE STRUCTURE OF EN4.L . . . 185 10.3
EXPLOSIVE AND NORMAL COUNTERPARTS 195 10.4 THE STRUCTURE OF EN4C AND
EN4.LC . 201 10.5 SOME TRANSFER THEOREMS FOR THE CLASS OF
N4.L-EXTENSIONS 211 11 CONCLUSION 223 BIBLIOGRAPHY 227 INDEX 237 |
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| isbn | 9781402068669 1402068662 9781402068676 |
| language | English |
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| physical | VI, 240 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Springer |
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| series | Trends in logic |
| series2 | Trends in logic |
| spelling | Odincov, Sergej P. Verfasser (DE-588)135558158 aut Constructive negations and paraconsistency Sergei P. Odintsov [Berlin] Springer 2008 VI, 240 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Trends in logic 26 Negation (DE-588)4137553-1 gnd rswk-swf Parakonsistente Logik (DE-588)4226190-9 gnd rswk-swf Negation (DE-588)4137553-1 s Parakonsistente Logik (DE-588)4226190-9 s DE-604 Trends in logic 26 (DE-604)BV011512969 26 V:DE-604 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016233122&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Odincov, Sergej P. Constructive negations and paraconsistency Trends in logic Negation (DE-588)4137553-1 gnd Parakonsistente Logik (DE-588)4226190-9 gnd |
| subject_GND | (DE-588)4137553-1 (DE-588)4226190-9 |
| title | Constructive negations and paraconsistency |
| title_auth | Constructive negations and paraconsistency |
| title_exact_search | Constructive negations and paraconsistency |
| title_exact_search_txtP | Constructive negations and paraconsistency |
| title_full | Constructive negations and paraconsistency Sergei P. Odintsov |
| title_fullStr | Constructive negations and paraconsistency Sergei P. Odintsov |
| title_full_unstemmed | Constructive negations and paraconsistency Sergei P. Odintsov |
| title_short | Constructive negations and paraconsistency |
| title_sort | constructive negations and paraconsistency |
| topic | Negation (DE-588)4137553-1 gnd Parakonsistente Logik (DE-588)4226190-9 gnd |
| topic_facet | Negation Parakonsistente Logik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016233122&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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