It is generally accepted that it is a mistake that Aristotle ignore the moods of the fourth figure in his syllogism. In this paper, I shall argue the Aristotelian syllogism consisting of the essential moods and their derivative moods is complete or self-contained, all the moods of the fourth figure can be derived from the essential moods. The analysis table provided in the paper will contribute...

the traditional logician’s explanation on categorical syllogism, make the analysis of controversial syllogism and other relative syllogism, very difficult. the thirteenth century logicians use two methods to solve this problem. one method is ibn sina's method, which adds a premise to syllogism, and the second method is fakhr al-din al-razi and katebis’ method, which provide syllogism relyi...

Syllogism is a type of deductive reasoning involving quantified statements. The syllogistic reasoning scheme in the classical Aristotelian framework involves three crisp term sets and four linguistic quantifiers, for which the main support is the linguistic properties of the quantifiers. A number of fuzzy approaches for defining an approximate syllogism have been proposed for which the main sup...

We identify three classes of four-state paraconsistent logics according to their different approaches towards the disjunctive syllogism, and investigate three representatives of these approaches: Quasiclassical logic, which always accepts this principle, Belnap’s logic, that rejects the disjunctive syllogism altogether, and a logic of inconsistency minimization that restricts its application to...

Since a clear account of the fallacy false disjunctive syllogism is missing in literature, defined and its three types are differentiated after some preliminaries. Section 4 further elaborates differentia specifica for each by analyzing relevant argument criticism each, as well related profiles dialogue. After defining syllogisms, it becomes possible to distinguish between dilemma syllogism: se...

Review of Cioran, E. (2023). Syllogism the Bitterness. The Fall into Time. Kyiv: Duh i Litera.