Logical Omniscience as a Conditionality Issue. A Multi-Modal Approach
Many solutions to the problem of Logical Omniscience assume that this arises from the behavior of the epistemic operators. However, few proposals have criticized the assumption that material implication accurately accounts for conditionality. This paper aims to show how Multi-Modal Logic can be use...
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Universidad Nacional Autónoma de México (UNAM)
2025-06-01
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| Series: | Crítica |
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| Online Access: | https://critica.filosoficas.unam.mx/index.php/critica/article/view/1669 |
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| author | Juan Carlos Sánchez Hernández |
| author_facet | Juan Carlos Sánchez Hernández |
| author_sort | Juan Carlos Sánchez Hernández |
| collection | DOAJ |
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Many solutions to the problem of Logical Omniscience assume that this arises from the behavior of the epistemic operators. However, few proposals have criticized the assumption that material implication accurately accounts for conditionality. This paper aims to show how Multi-Modal Logic can be used to criticize this assumption. After reviewing a kind of fusion semantics that incorporates a set of epistemic states to the models, serious systems of Multi-Modal Logic are used to criticize both the validity of Closure Principles for Knowledge and Belief and a version of Logical Omniscience that uses the strict conditional. The machinery is also modified to explore Logical Omniscience in logics based on Conditional Logic, Intuitionistic Logic, and a pair of weak Relevant Logics.
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| format | Article |
| id | doaj-art-3087ef12ba4f4a32a503bdb08f7cbfeb |
| institution | OA Journals |
| issn | 0011-1503 1870-4905 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Universidad Nacional Autónoma de México (UNAM) |
| record_format | Article |
| series | Crítica |
| spelling | doaj-art-3087ef12ba4f4a32a503bdb08f7cbfeb2025-08-20T02:23:04ZengUniversidad Nacional Autónoma de México (UNAM)Crítica0011-15031870-49052025-06-015716910.22201/iifs.18704905e.2025.1669Logical Omniscience as a Conditionality Issue. A Multi-Modal ApproachJuan Carlos Sánchez Hernández0Universidad Autónoma Metropolitana, Unidad Iztapalapa, México Many solutions to the problem of Logical Omniscience assume that this arises from the behavior of the epistemic operators. However, few proposals have criticized the assumption that material implication accurately accounts for conditionality. This paper aims to show how Multi-Modal Logic can be used to criticize this assumption. After reviewing a kind of fusion semantics that incorporates a set of epistemic states to the models, serious systems of Multi-Modal Logic are used to criticize both the validity of Closure Principles for Knowledge and Belief and a version of Logical Omniscience that uses the strict conditional. The machinery is also modified to explore Logical Omniscience in logics based on Conditional Logic, Intuitionistic Logic, and a pair of weak Relevant Logics. https://critica.filosoficas.unam.mx/index.php/critica/article/view/1669conditionalityclosure principlefusion semanticsmulti-modal logicnon-normal modal logic |
| spellingShingle | Juan Carlos Sánchez Hernández Logical Omniscience as a Conditionality Issue. A Multi-Modal Approach Crítica conditionality closure principle fusion semantics multi-modal logic non-normal modal logic |
| title | Logical Omniscience as a Conditionality Issue. A Multi-Modal Approach |
| title_full | Logical Omniscience as a Conditionality Issue. A Multi-Modal Approach |
| title_fullStr | Logical Omniscience as a Conditionality Issue. A Multi-Modal Approach |
| title_full_unstemmed | Logical Omniscience as a Conditionality Issue. A Multi-Modal Approach |
| title_short | Logical Omniscience as a Conditionality Issue. A Multi-Modal Approach |
| title_sort | logical omniscience as a conditionality issue a multi modal approach |
| topic | conditionality closure principle fusion semantics multi-modal logic non-normal modal logic |
| url | https://critica.filosoficas.unam.mx/index.php/critica/article/view/1669 |
| work_keys_str_mv | AT juancarlossanchezhernandez logicalomniscienceasaconditionalityissueamultimodalapproach |