Union
$$A \cup B =$$
{ hearing, material things, omniscience, senses, sight, signs, smell, taste, thoughts of others, touch }
Symmetric Difference
$$A \ominus B =$$
{ hearing, material things, omniscience, senses, sight, signs, smell, taste, thoughts of others, touch }
Cartesian Product
$$A \times B =$$
{ (hearing, material things),
(hearing, omniscience),
(hearing, senses),
(hearing, signs),
(hearing, thoughts of others),
(sight, material things),
(sight, omniscience),
(sight, senses),
(sight, signs),
(sight, thoughts of others),
(smell, material things),
(smell, omniscience),
(smell, senses),
(smell, signs),
(smell, thoughts of others),
(taste, material things),
(taste, omniscience),
(taste, senses),
(taste, signs),
(taste, thoughts of others),
(touch, material things),
(touch, omniscience),
(touch, senses),
(touch, signs),
(touch, thoughts of others) }