Syllogism reasoning is a common and important form of in human thinking from Aristotle onwards. To overcome the shortcomings previous studies, this article makes full use set theory classical propositional logic, deduces remaining 23 valid syllogisms only on basis syllogism EIO-2 perspective mathematical structuralism, then successfully establishes concise formal axiom system for categorical sy...

one ef the most important innovations in the history ef traditional logic is the avicena's theory ef temporal modalities (.atm). althottgh) the basic concepts and elements ef this theory are fottnded in aristotelian and stoic-lvlegarian !0 gic) but as a independent lo,gical system, are devised on/y fry avicenna and were later developed and completed fry his followers. the atm theory contai...

One of the chief problems about discussing any aspect of Aristotle's political thought, but especially his thinking about constitutions, is the apparent disorder of the Politics. The relatively loose and dialectical nature of the argument is certainly responsible for some of its unevenness: the repetitions, the omissions of promised discussions of particular topics, and the sudden turns, perhap...

The 20th century has witnessed a vertiginous development of logic: a discipline that traditionally belonged to the domain of philosophy, but whose recent development is due to the use of mathematics as its meta-language. Considered as one of the greatest of Greek gifts to humanity, logic is now essential as the foundational model for Computer Science. Some scholars assimilate Mathematics and Lo...

the specific leadership style of hassan sabbah and the specific obedience style of followers, because of voluntary blind obedience of followers from hassan sabbah, is one of the most prominent samples for methodologies leadership studies and blind obedience process. in this study, we have used two different approaches towards the analysis of ismailis’s blind obedience from hassan sabbah. in one...

Abstract When it comes to science writing, narrative has attracted little attention. This paper attempts fill this gap by presenting a brief pilot survey on in the Aristotelian Corpus. My main concern here is understand workings of process knowledge creation. Aristotle, apart from his paradigmatic role history knowledge, offers broad and varied corpus. The proceeds three steps: After few introd...

In this paper, we continue the development of a formal theory of intermediate quantifiers (linguistic expressions such as “most”, “many”, “few”, “almost all”, etc.). In previous work, we demonstrated that 105 generalized syllogisms are valid in our theory. We turn our attention to another problem which is the analysis of the generalized Aristotelian square of opposition which, besides the class...

In this paper, we deal with a calculus system SLCD (Syllogistic Logic with Carroll Diagrams), which gives a formal approach to logical reasoning with diagrams, for representations of the fundamental Aristotelian categorical propositions and show that they are closed under the syllogistic criterion of inference which is the deletion of middle term. Therefore, it is implemented to let the formali...

It is easy to think of possible tensions between one’s faith and academic reality, but I wish to address here a positive relation, namely, the fact that the academy is itself indebted to religious faith. In particular, I want to point to the impact of Jewish and Christian traditions on a phase of thought that began at the end of the nineteenth century. A significant theme of this thinking was t...