In a previous work [the second and the third author, “On paraconsistent deontic logic”, Philosophia 16, 293-303 (1986)] investigated certain systems of paraconsistent deontic in order to investigate the problem of contradiction in the domain of ethics. This paper continues this line of research, studying some paraconsistent systems containing alethic and deontic modalities. This approach allows us to treat the principles of Kant (OA→ \diamond A) and Hintikka (\square A → OA) from the classical and from the paraconsistent point of (...) view, and to propose systems in which either, both, or neither of these principles is valid. (shrink)

The aim of this note is to delineate some new systems of logic which govern the interconnections between two kinds of obligation: moral obligation and legal obligation . In consequence, we shall have in such a logic two kinds of forbideness of premission, and of indifference, but obviously definable in terms of the two obligation operators and negation.