Table 3 Mental subgrouping in projected belief layer

M”(Q_i,Q_j,S_m) = Q_i’s belief about M’(Q_j,S_m)

• What I believe He/She believes about Our cognition

• What I believe He/She believes about Their cognition

M”(Q_i,S_m,Q_j) = Q_i’s belief about S_m member’s belief of Q_j’s cognition, for i ≠ j

• What I believe They believe about His/Her cognition

• What I believe We believe about His/Her cognition

M”(Q_i,S_m,Q_i) = Q_i’s belief about S_m member’s belief of Q_i’s cognition

• What I believe They believe about My cognition

M”(Q_i,S_m,S_p) = Q_i’s belief about S_m member’s belief of S_p member’s cognition, for m ≠ p

• What I believe They(1) believe about Their(2) cognition

• What I believe We believe about Their cognition

• What I believe They believe about Our cognition

M”(Q_i,S_m,S_m) = Q_i’s belief about S_m member’s belief on each other’s cognition

• What I believe We believe about each other’s cognition

• What I believe They believe about each other’s cognition