Truth Conditions of Hypothetical Propositions According to Fakhr al-Dīn al-Rāzī
This article examines the truth conditions of conditional (muttaṣil) and disjunctive conditional (munfaṣil) propositions in Fakhr al-Dīn al-Rāzī’s (d. 606/1210) logic system and whether these propositions can be classified under truth functional propositional logic. Accordingly, the work is structur...
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Istanbul University Press
2024-12-01
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| Series: | Felsefe Arkivi |
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| Online Access: | https://cdn.istanbul.edu.tr/file/JTA6CLJ8T5/7987551CFCB14601B89EAC88DEB02381 |
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| author | Fatma Karaismail |
| author_facet | Fatma Karaismail |
| author_sort | Fatma Karaismail |
| collection | DOAJ |
| description | This article examines the truth conditions of conditional (muttaṣil) and disjunctive conditional (munfaṣil) propositions in Fakhr al-Dīn al-Rāzī’s (d. 606/1210) logic system and whether these propositions can be classified under truth functional propositional logic. Accordingly, the work is structured in two main sections. The subject is discussed in the first section in the context of implicative (luzūmī) and coincidental (ittifāqī) conditional propositions, and in the second section within the framework of three types of disjunctive conditional propositions. This study concludes that the truth values of implicative conditional propositions depend not only on the truth values of their components but also on whether they contain the implication relation. Similarly, the truth values of disjunctive conditional propositions are based on whether they include the conflict (ʿinād) relation, as well as on the truth values of their components. As a result, it has been established that the implicative conditional and disjunctive conditional propositions in al-Rāzī’s system are not truth functional and these propositions do not overlap in meaning with truth functional compound propositions in propositional logic. In contrast, coincidental conditional propositions are considered truth functional due to the absence of any implication or conflict relationship between their components. |
| format | Article |
| id | doaj-art-eaa53aa110a8498e9a5f4d8d53365bc3 |
| institution | OA Journals |
| issn | 2667-7644 |
| language | deu |
| publishDate | 2024-12-01 |
| publisher | Istanbul University Press |
| record_format | Article |
| series | Felsefe Arkivi |
| spelling | doaj-art-eaa53aa110a8498e9a5f4d8d53365bc32025-08-20T02:14:38ZdeuIstanbul University PressFelsefe Arkivi2667-76442024-12-0161384810.26650/arcp.1562928123456Truth Conditions of Hypothetical Propositions According to Fakhr al-Dīn al-RāzīFatma Karaismailhttps://orcid.org/0000-0003-4447-4788This article examines the truth conditions of conditional (muttaṣil) and disjunctive conditional (munfaṣil) propositions in Fakhr al-Dīn al-Rāzī’s (d. 606/1210) logic system and whether these propositions can be classified under truth functional propositional logic. Accordingly, the work is structured in two main sections. The subject is discussed in the first section in the context of implicative (luzūmī) and coincidental (ittifāqī) conditional propositions, and in the second section within the framework of three types of disjunctive conditional propositions. This study concludes that the truth values of implicative conditional propositions depend not only on the truth values of their components but also on whether they contain the implication relation. Similarly, the truth values of disjunctive conditional propositions are based on whether they include the conflict (ʿinād) relation, as well as on the truth values of their components. As a result, it has been established that the implicative conditional and disjunctive conditional propositions in al-Rāzī’s system are not truth functional and these propositions do not overlap in meaning with truth functional compound propositions in propositional logic. In contrast, coincidental conditional propositions are considered truth functional due to the absence of any implication or conflict relationship between their components.https://cdn.istanbul.edu.tr/file/JTA6CLJ8T5/7987551CFCB14601B89EAC88DEB02381islamic logicpropositional logictruth functional propositionshypothetical propositionsfakhr al-dīn al-rāzī |
| spellingShingle | Fatma Karaismail Truth Conditions of Hypothetical Propositions According to Fakhr al-Dīn al-Rāzī Felsefe Arkivi islamic logic propositional logic truth functional propositions hypothetical propositions fakhr al-dīn al-rāzī |
| title | Truth Conditions of Hypothetical Propositions According to Fakhr al-Dīn al-Rāzī |
| title_full | Truth Conditions of Hypothetical Propositions According to Fakhr al-Dīn al-Rāzī |
| title_fullStr | Truth Conditions of Hypothetical Propositions According to Fakhr al-Dīn al-Rāzī |
| title_full_unstemmed | Truth Conditions of Hypothetical Propositions According to Fakhr al-Dīn al-Rāzī |
| title_short | Truth Conditions of Hypothetical Propositions According to Fakhr al-Dīn al-Rāzī |
| title_sort | truth conditions of hypothetical propositions according to fakhr al din al razi |
| topic | islamic logic propositional logic truth functional propositions hypothetical propositions fakhr al-dīn al-rāzī |
| url | https://cdn.istanbul.edu.tr/file/JTA6CLJ8T5/7987551CFCB14601B89EAC88DEB02381 |
| work_keys_str_mv | AT fatmakaraismail truthconditionsofhypotheticalpropositionsaccordingtofakhraldinalrazi |