KK, Knowledge, Knowability.

kk states that knowing entails knowing that one knows, and K ¬ K states that not knowing entails knowing that one does not know. In light of the arguments against kk and K ¬ K ⁠ , one might consider modally qualified variants of those principles. According to weak kk , knowing entails the possibility of knowing that one knows. And according to weak K ¬ K ⁠ , not knowing entails the possibility of knowing that one does not know. This paper shows that weak kk and weak K ¬ K are much stronger than they initially appear. Jointly, they entail kk and K ¬ K ⁠. And they are susceptible to variants of the standard arguments against kk and K ¬ K ⁠. This has interesting implications for the debate on positive introspection and for deeper issues concerning the structure and limits of knowability. [ABSTRACT FROM AUTHOR]