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...

aristotle took per impossibile as a form of hypothetical syllogism which was composed of a syllogistic and a non-syllogistic part. but he didn’t express the relation between these two parts clearly. alexander of aphrodisias and philoponus didn’t add any specific comments to aristotle’s view. al-farabi believed that per impossible includes three deductions: two categorical syllogisms and one exc...

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.