Abstract:

There are some theoretical problems in the study of generalized modal logic. Modal logic is involved with not only logical possibility but also actual possibility. The two possibilities both have important disparities. We may use the possibility operator to make an analysis of the Ross Paradox. A tense analysis of deontic paradoxes is useful. It can make us understand the relativity of obligation and eliminate the deontic paradoxes. As an expansion of classical logic, generalized modal logic has both advantages and disadvantages.

Key words: generalized modal logic, possibility, deontic paradox