Arithmetical realizations of modal formulas:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Göteborg
Acta Univ. Gothoburgensis
1997
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| Schriftenreihe: | Göteborgs Universitet: [Acta Universitatis Gothoburgensis / Acta philosophica Gothoburgensia]
5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 91 S. graph. Darst. |
| ISBN: | 917346306X |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Arithmetical realizations of modal formulas
Autor: Strannegård, Claes
Jahr: 1997
Contents
I Introduction..................................................................................1
1. Some historical remarks......................................................................................1
2. Basic aim of the thesis..........................................................................................3
3. Conventions...........................................................................................................3
II Background.................................................................................5
1. Arithmetic..............................................................................................................5
2. Provability...............................................................................................................9
3. Diagonalizable algebras......................................................................................10
4. Interpretability.....................................................................................................10
5. Degrees of interpretability.................................................................................12
6. Modal logic...........................................................................................................12
7. Provability logic...................................................................................................14
III Provability types.......................................................................17
1. Preliminaries........................................................................................................17
2. On Solovay s second completeness theorem................................................18
3. On Solovay s first completeness theorem.....................................................31
IV Bimodal provability types.........................................................35
1. Preliminaries........................................................................................................35
2. On Carlson s third completeness theorem....................................................37
3. On Carlson s second completeness theorem.................................................49
4. On Carlson s first completeness theorem......................................................51
V Interpretability types..................................................................59
1. Preliminaries........................................................................................................59
2. On Berarducci s and Shavrukov s second completeness theorem..........61
3. On Berarducci s and Shavrukov s first completeness theorem................79
4. Orey s problem...............................................................................,.....................80
Summary......................................................................................85
Acktiowledgements...,...................................................................87
Références....................................................................................89
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| author | Strannegård, Claes |
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| classification_rvk | CC 2600 |
| ctrlnum | (OCoLC)39162354 (DE-599)BVBBV011511106 |
| discipline | Philosophie |
| format | Thesis Book |
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| id | DE-604.BV011511106 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:11:00Z |
| institution | BVB |
| isbn | 917346306X |
| language | English |
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| physical | 91 S. graph. Darst. |
| publishDate | 1997 |
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| publisher | Acta Univ. Gothoburgensis |
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| series2 | Göteborgs Universitet: [Acta Universitatis Gothoburgensis / Acta philosophica Gothoburgensia] |
| spelling | Strannegård, Claes Verfasser aut Arithmetical realizations of modal formulas Claes Strannegård Göteborg Acta Univ. Gothoburgensis 1997 91 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Göteborgs Universitet: [Acta Universitatis Gothoburgensis / Acta philosophica Gothoburgensia] 5 Zugl.: Diss. Modale logica gtt Wiskunde gtt Mathematik Modality (Logic) Proof theory Arithmetik (DE-588)4002919-0 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Beweisbarkeit (DE-588)7578966-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Arithmetik (DE-588)4002919-0 s Beweisbarkeit (DE-588)7578966-8 s Mathematische Logik (DE-588)4037951-6 s DE-604 Acta philosophica Gothoburgensia] Göteborgs Universitet: [Acta Universitatis Gothoburgensis 5 (DE-604)BV000651194 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007746899&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Strannegård, Claes Arithmetical realizations of modal formulas Modale logica gtt Wiskunde gtt Mathematik Modality (Logic) Proof theory Arithmetik (DE-588)4002919-0 gnd Mathematische Logik (DE-588)4037951-6 gnd Beweisbarkeit (DE-588)7578966-8 gnd |
| subject_GND | (DE-588)4002919-0 (DE-588)4037951-6 (DE-588)7578966-8 (DE-588)4113937-9 |
| title | Arithmetical realizations of modal formulas |
| title_auth | Arithmetical realizations of modal formulas |
| title_exact_search | Arithmetical realizations of modal formulas |
| title_full | Arithmetical realizations of modal formulas Claes Strannegård |
| title_fullStr | Arithmetical realizations of modal formulas Claes Strannegård |
| title_full_unstemmed | Arithmetical realizations of modal formulas Claes Strannegård |
| title_short | Arithmetical realizations of modal formulas |
| title_sort | arithmetical realizations of modal formulas |
| topic | Modale logica gtt Wiskunde gtt Mathematik Modality (Logic) Proof theory Arithmetik (DE-588)4002919-0 gnd Mathematische Logik (DE-588)4037951-6 gnd Beweisbarkeit (DE-588)7578966-8 gnd |
| topic_facet | Modale logica Wiskunde Mathematik Modality (Logic) Proof theory Arithmetik Mathematische Logik Beweisbarkeit Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007746899&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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