The rst part deals with Carnap s contribution to the modal logic. The Carnap s work is included in the historical context. His reaction to the Lewis calculi of the strict implication is discussed and also his anticipation of the Kripkean possible worlds semantics, which the contemporary modal logic is based on. The main aim of the second part was to consider some kinds of modalities. These kinds of modalities have epistemic character because they always depend on certain knowledge. The main result of the diploma work is the introduction of four new logics. Their semantics is set up in the similar fashion in which Carnap de ned his own modal logic. Some basic features of these logics are shown and their axiomatization and relationship to som...