Lozomieh in Ibn Sina's Logic and its Relation to Various Kinds of Conditionals in Modern Logic with Analysis and Critique of Some Views

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According to Ibn Sina's logic, Lozomieh is the only conditional that is suitable to be named real conditional. Also Lozomieh is among the foundations of Ibn Sina’s logic that the rules Modus Ponens and Modus Tollens would be applied only to it. Analyzing the relation between premises and conclusion in various kinds of syllogism in ancient Logic shows the importance of Lozomieh too. After providing the truth conditions of Lozomieh, the central aim of the present article is to review different views about Lozomieh and its relation to various kinds of conditionals in Modern logic. These views are as follows: Some believe that Lozomieh is different from strict implication. Some believe Lozomieh is nearer to entailment than other kinds of implications. Some believe that Lozomieh has to be interpreted as relevant. And some believe that the definition of strict implication made by Lewis is the same as the definition of Lozomieh made by Abhary. Finally, after analyzing and criticizing these views, we want to bring to light the fact that to find the relation between Lozomieh and those of conditionals in modern Logic we have to compare all aspects of the paradigms of ancient logic and Modern logic. In addition, since the author believes that the material implication is absent in ancient logic and ancient logic is similar to relevant logic in many aspects, we have to compare the ancient logic as a paradigm to a kind of relevant logic that is substitution for material implication logic as another paradigm.
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Persian
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Pages:
47 to 64
magiran.com/p1034619  
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