Union
$$A \cup B =$$
{ charismatic authority, familial, friendly, legal authority, playful, practical, self-loving, sexual, traditional authority, universal }
Symmetric Difference
$$A \ominus B =$$
{ charismatic authority, familial, friendly, legal authority, playful, practical, self-loving, sexual, traditional authority, universal }
Difference
$$B - A =$$
{ familial, friendly, playful, practical, self-loving, sexual, universal }
Cartesian Product
$$A \times B =$$
{ (charismatic authority, familial),
(charismatic authority, friendly),
(charismatic authority, playful),
(charismatic authority, practical),
(charismatic authority, self-loving),
(charismatic authority, sexual),
(charismatic authority, universal),
(legal authority, familial),
(legal authority, friendly),
(legal authority, playful),
(legal authority, practical),
(legal authority, self-loving),
(legal authority, sexual),
(legal authority, universal),
(traditional authority, familial),
(traditional authority, friendly),
(traditional authority, playful),
(traditional authority, practical),
(traditional authority, self-loving),
(traditional authority, sexual),
(traditional authority, universal) }
The Three Types of Legitimate Rule