Proofs and models in philosophical logic:
This Element is an introduction to recent work proofs and models in philosophical logic, with a focus on the semantic paradoxes the sorites paradox. It introduces and motivates different proof systems and different kinds of models for a range of logics, including classical logic, intuitionistic logi...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2022
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| Schlagworte: | |
| Online-Zugang: | BSB01 UBG01 Volltext |
| Zusammenfassung: | This Element is an introduction to recent work proofs and models in philosophical logic, with a focus on the semantic paradoxes the sorites paradox. It introduces and motivates different proof systems and different kinds of models for a range of logics, including classical logic, intuitionistic logic, a range of three-valued and four-valued logics, and substructural logics. It also compares and contrasts the different approaches to substructural treatments of the paradox, showing how the structural rules of contraction, cut and identity feature in paradoxical derivations. It then introduces model theoretic treatments of the paradoxes, including a simple fixed-point model construction which generates three-valued models for theories of truth, which can provide models for a range of different non-classical logics. The Element closes with a discussion of the relationship between proofs and models, arguing that both have their place in the philosophers' and logicians' toolkits |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 30 Mar 2022) |
| Beschreibung: | 1 Online-Ressource (82 Seiten) |
| ISBN: | 9781009040457 |
| DOI: | 10.1017/9781009040457 |
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| spelling | Restall, Greg 1969- (DE-588)1146251491 aut Proofs and models in philosophical logic Greg Restall Cambridge Cambridge University Press 2022 1 Online-Ressource (82 Seiten) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 30 Mar 2022) This Element is an introduction to recent work proofs and models in philosophical logic, with a focus on the semantic paradoxes the sorites paradox. It introduces and motivates different proof systems and different kinds of models for a range of logics, including classical logic, intuitionistic logic, a range of three-valued and four-valued logics, and substructural logics. It also compares and contrasts the different approaches to substructural treatments of the paradox, showing how the structural rules of contraction, cut and identity feature in paradoxical derivations. It then introduces model theoretic treatments of the paradoxes, including a simple fixed-point model construction which generates three-valued models for theories of truth, which can provide models for a range of different non-classical logics. The Element closes with a discussion of the relationship between proofs and models, arguing that both have their place in the philosophers' and logicians' toolkits Logic Logik (DE-588)4036202-4 gnd rswk-swf Logik (DE-588)4036202-4 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-00-904538-4 https://doi.org/10.1017/9781009040457 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Restall, Greg 1969- Proofs and models in philosophical logic Logic Logik (DE-588)4036202-4 gnd |
| subject_GND | (DE-588)4036202-4 |
| title | Proofs and models in philosophical logic |
| title_auth | Proofs and models in philosophical logic |
| title_exact_search | Proofs and models in philosophical logic |
| title_exact_search_txtP | Proofs and models in philosophical logic |
| title_full | Proofs and models in philosophical logic Greg Restall |
| title_fullStr | Proofs and models in philosophical logic Greg Restall |
| title_full_unstemmed | Proofs and models in philosophical logic Greg Restall |
| title_short | Proofs and models in philosophical logic |
| title_sort | proofs and models in philosophical logic |
| topic | Logic Logik (DE-588)4036202-4 gnd |
| topic_facet | Logic Logik |
| url | https://doi.org/10.1017/9781009040457 |
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