ArXe Syllogistics: Formal Foundations

A valid syllogism is an Aristotelian syllogism with certain restrictions to resolve ambiguities.What it seeks to resolve:- Interpretations that lead to forms of Platonism:-- Propositional realism: the presumption that the truth of propositions exists independently of judgment-- Magical realism: the presumption that syllogism allows ontological determinations or determinations about reality-- Fusion between being and existence: The presumption that these are the same concepts that actually distinguish themselves from each other-- Negation of essence along with existence