Against a Metaphysical Understanding of Rejection
In this article, we defend that incorporating a rejection operator into a paraconsistent language involves fully specifying its inferential characteristics within the logic. To do this, we examine a recent proposal by Berto (2014) for a paraconsistent rejection, which — according to him — avoids pa...
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| Format: | Article |
| Language: | English |
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Universidade Federal de Santa Catarina
2018-08-01
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| Series: | Principia: An International Journal of Epistemology |
| Online Access: | https://periodicos.ufsc.br/index.php/principia/article/view/58641 |
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| _version_ | 1849388689038245888 |
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| author | Mariela Rubin Ariel Roffé |
| author_facet | Mariela Rubin Ariel Roffé |
| author_sort | Mariela Rubin |
| collection | DOAJ |
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In this article, we defend that incorporating a rejection operator into a paraconsistent language involves fully specifying its inferential characteristics within the logic. To do this, we examine a recent proposal by Berto (2014) for a paraconsistent rejection, which — according to him — avoids paradox, even when introduced into a language that contains self-reference and a transparent truth predicate. We will show that this proposal is inadequate because it is too incomplete. We argue that the reason it avoids trouble is that the inferential characteristics of the new operator are left (mostly) unspecified, exporting the task of specifying them to metaphysicians. Additionally, we show that when completing this proposal with some plausible rules for the rejection operator, paradoxes do arise. Finally, we draw some more general implications from the study of this example.
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| format | Article |
| id | doaj-art-e6018e0cf85f4ce2a3ebfddf6bffd265 |
| institution | Kabale University |
| issn | 1808-1711 |
| language | English |
| publishDate | 2018-08-01 |
| publisher | Universidade Federal de Santa Catarina |
| record_format | Article |
| series | Principia: An International Journal of Epistemology |
| spelling | doaj-art-e6018e0cf85f4ce2a3ebfddf6bffd2652025-08-20T03:42:13ZengUniversidade Federal de Santa CatarinaPrincipia: An International Journal of Epistemology1808-17112018-08-0122110.5007/1808-1711.2018v22n1p18929446Against a Metaphysical Understanding of RejectionMariela Rubin0Ariel Roffé1BA-Logic Group, UNACEFHIC-UNQ-CONICET, UNTREF. In this article, we defend that incorporating a rejection operator into a paraconsistent language involves fully specifying its inferential characteristics within the logic. To do this, we examine a recent proposal by Berto (2014) for a paraconsistent rejection, which — according to him — avoids paradox, even when introduced into a language that contains self-reference and a transparent truth predicate. We will show that this proposal is inadequate because it is too incomplete. We argue that the reason it avoids trouble is that the inferential characteristics of the new operator are left (mostly) unspecified, exporting the task of specifying them to metaphysicians. Additionally, we show that when completing this proposal with some plausible rules for the rejection operator, paradoxes do arise. Finally, we draw some more general implications from the study of this example. https://periodicos.ufsc.br/index.php/principia/article/view/58641 |
| spellingShingle | Mariela Rubin Ariel Roffé Against a Metaphysical Understanding of Rejection Principia: An International Journal of Epistemology |
| title | Against a Metaphysical Understanding of Rejection |
| title_full | Against a Metaphysical Understanding of Rejection |
| title_fullStr | Against a Metaphysical Understanding of Rejection |
| title_full_unstemmed | Against a Metaphysical Understanding of Rejection |
| title_short | Against a Metaphysical Understanding of Rejection |
| title_sort | against a metaphysical understanding of rejection |
| url | https://periodicos.ufsc.br/index.php/principia/article/view/58641 |
| work_keys_str_mv | AT marielarubin againstametaphysicalunderstandingofrejection AT arielroffe againstametaphysicalunderstandingofrejection |