Union
$$A \cup B =$$
{ achiever, affective (feelings), cognitive (beliefs), conative (behavior), critic, enthusiast, helper, loyalist, mediator, observer, protector, romantic }
Symmetric Difference
$$A \ominus B =$$
{ achiever, affective (feelings), cognitive (beliefs), conative (behavior), critic, enthusiast, helper, loyalist, mediator, observer, protector, romantic }
Difference
$$A - B =$$
{ achiever, critic, enthusiast, helper, loyalist, mediator, observer, protector, romantic }
Cartesian Product
$$A \times B =$$
{ (achiever, affective (feelings)),
(achiever, cognitive (beliefs)),
(achiever, conative (behavior)),
(critic, affective (feelings)),
(critic, cognitive (beliefs)),
(critic, conative (behavior)),
(enthusiast, affective (feelings)),
(enthusiast, cognitive (beliefs)),
(enthusiast, conative (behavior)),
(helper, affective (feelings)),
(helper, cognitive (beliefs)),
(helper, conative (behavior)),
(loyalist, affective (feelings)),
(loyalist, cognitive (beliefs)),
(loyalist, conative (behavior)),
(mediator, affective (feelings)),
(mediator, cognitive (beliefs)),
(mediator, conative (behavior)),
(observer, affective (feelings)),
(observer, cognitive (beliefs)),
(observer, conative (behavior)),
(protector, affective (feelings)),
(protector, cognitive (beliefs)),
(protector, conative (behavior)),
(romantic, affective (feelings)),
(romantic, cognitive (beliefs)),
(romantic, conative (behavior)) }
Enneagram of Personality