Philosophical Interpretations Matter
In recent years, there has been an increasing debate about some philosophical aspects of paraconsistent logics. The focus of this controversy has been on whether the notion of philosophical interpretation of a logic is separable or independent from the notion of application of a logic. The concept...
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| Format: | Article |
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Universidade Federal de Santa Catarina
2025-07-01
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| Series: | Principia: An International Journal of Epistemology |
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| Online Access: | https://periodicos.ufsc.br/index.php/principia/article/view/107900 |
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| author | Eduardo Alejandro Barrio Edson Bezerra Bruno da Ré |
| author_facet | Eduardo Alejandro Barrio Edson Bezerra Bruno da Ré |
| author_sort | Eduardo Alejandro Barrio |
| collection | DOAJ |
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In recent years, there has been an increasing debate about some philosophical aspects of paraconsistent logics. The focus of this controversy has been on whether the notion of philosophical interpretation of a logic is separable or independent from the notion of application of a logic. The concept of application of a logic, or applied logic, comes from Priest (2005). Given a purely technical system, one can apply it to different domains, such as computer science, programming, formal linguistics, electric circuits, neural networks, control systems, reasoning, etc. On the other hand, Barrio (2018) and Barrio and Da R´e (2018) have argued that there is a third dimension of a logic that consists in its philosophical interpretation. This aspect is related to some intended meaning of the logical constants and the consequence relation of the pure system. In this sense, while Barrio and Da R´e have argued that, at least in some contexts, the concept of philosophical interpretation has an explanatory role, Arenhart (2022) has claimed that this concept can be reduced to the notion of application. In this article, we will show that the philosophical interpretation of a logic has a crucial role in the usual stances of logicians and philosophers, which can and must be distinguished from the application of the system. We will focus on paraconsistent logics as study cases for our points since the debate has developed almost entirely around these systems. However, most of our claims can be applied to any logical system. In fact, throughout the paper, we will also provide examples using non-paraconsistent logics.
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| format | Article |
| id | doaj-art-86e515a7c8cf493aa9e24fef8594ace0 |
| institution | Kabale University |
| issn | 1808-1711 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Universidade Federal de Santa Catarina |
| record_format | Article |
| series | Principia: An International Journal of Epistemology |
| spelling | doaj-art-86e515a7c8cf493aa9e24fef8594ace02025-08-20T03:30:41ZengUniversidade Federal de Santa CatarinaPrincipia: An International Journal of Epistemology1808-17112025-07-0129210.5007/1808-1711.2025.e107900Philosophical Interpretations MatterEduardo Alejandro Barrio0https://orcid.org/0000-0003-4819-2841Edson Bezerra1https://orcid.org/0000-0002-0865-5197Bruno da Ré2https://orcid.org/0000-0002-2958-7840University of Buenos AiresUniversity of Buenos AiresUniversity of Buenos Aires In recent years, there has been an increasing debate about some philosophical aspects of paraconsistent logics. The focus of this controversy has been on whether the notion of philosophical interpretation of a logic is separable or independent from the notion of application of a logic. The concept of application of a logic, or applied logic, comes from Priest (2005). Given a purely technical system, one can apply it to different domains, such as computer science, programming, formal linguistics, electric circuits, neural networks, control systems, reasoning, etc. On the other hand, Barrio (2018) and Barrio and Da R´e (2018) have argued that there is a third dimension of a logic that consists in its philosophical interpretation. This aspect is related to some intended meaning of the logical constants and the consequence relation of the pure system. In this sense, while Barrio and Da R´e have argued that, at least in some contexts, the concept of philosophical interpretation has an explanatory role, Arenhart (2022) has claimed that this concept can be reduced to the notion of application. In this article, we will show that the philosophical interpretation of a logic has a crucial role in the usual stances of logicians and philosophers, which can and must be distinguished from the application of the system. We will focus on paraconsistent logics as study cases for our points since the debate has developed almost entirely around these systems. However, most of our claims can be applied to any logical system. In fact, throughout the paper, we will also provide examples using non-paraconsistent logics. https://periodicos.ufsc.br/index.php/principia/article/view/107900Philosophical InterpretationsParaconsistencyPure vs Applied LogicsSub-Structural Logics |
| spellingShingle | Eduardo Alejandro Barrio Edson Bezerra Bruno da Ré Philosophical Interpretations Matter Principia: An International Journal of Epistemology Philosophical Interpretations Paraconsistency Pure vs Applied Logics Sub-Structural Logics |
| title | Philosophical Interpretations Matter |
| title_full | Philosophical Interpretations Matter |
| title_fullStr | Philosophical Interpretations Matter |
| title_full_unstemmed | Philosophical Interpretations Matter |
| title_short | Philosophical Interpretations Matter |
| title_sort | philosophical interpretations matter |
| topic | Philosophical Interpretations Paraconsistency Pure vs Applied Logics Sub-Structural Logics |
| url | https://periodicos.ufsc.br/index.php/principia/article/view/107900 |
| work_keys_str_mv | AT eduardoalejandrobarrio philosophicalinterpretationsmatter AT edsonbezerra philosophicalinterpretationsmatter AT brunodare philosophicalinterpretationsmatter |