This is part I of a two-part essay introducing case-intensional first order logic (CIFOL), an easy-to-use, uniform, powerful, and useful combination of first-order logic with modal logic resulting ...

The Modal Predicate Calculus gives rise to issues surrounding the Barcan formulas, their converses, and necessary existence. I examine these issues by means of the Quantified Argument Calculus (Quarc) ...

Quantified Boolean Formulas (QBF) extend classical Boolean logic by incorporating quantifiers over Boolean variables, thereby enabling the expression of problems in the PSPACE complexity class. The ...

Fuzzy logic provides a mathematical framework for dealing with imprecise and vague concepts, proving particularly amenable to the challenges posed by natural language. Its capacity to navigate ...