The Compatibility of Rescher’s R2 Formulation with Respect to Katebi’s Rules of Composite Modal Propositions

The presence of matter and direction in judicial relation makes the role of modals in science and the discovery of fallacies very important. Hence, Nicholas Rescher, who considers the temporal structure of Ibn Sina's modal propositions as among the major contributions of Muslims to the science of logic, has sought to derive these propositions from Katebi’s treatise and to formulate them as R1 and R2. Previously, Lotfatullah Nabavi had shown the efficiency of R2 in analyzing the universal composite modal propositions, but had not independently analyzed the rules of simple and composite modal propositions. In this article entitled “The Compatibility of Rescher’s R2 formulation with Respect to Katebi’s Rules of Composite Modal Propositions”, the author examines the rules of simple modal rules. In order to complete the discussion, using the descriptive-analytical method, it tries to study the rules the composite modal propositions in Katebi’s inferential apparatus separately to show that the formulation of R2, in addition to the aforementioned efficiency, is also compatible enough with the rules of composite modal propositions in Katebi’s logic. Therefore, the results of the previous article are fully confirmed: "it is not possible to prove some of katebi’s arguments in Katebi’s modal logic without the default of being endowed (∃x) (∃t) RtAx".