Capacity intersection

A capacity intersection, represented with ∩, is an operation taken from set theory that combines two or more capacity prefixes to yield a new capacity that is capable of experiencing any attraction that both/all of the original capacities can experience. It can be thought of as viewing each capacity prefix as a set of attraction type-situation pairs that the person is capable of experiencing then taking the union of those sets to get the set of attraction type-situation pairs that someone with that capacity union can intersect.

Anyone who has attractability that can be described with a capacity union is myrattractable (e.g., myrsexual or myrromantic).

=Examples= Note: This examples are complimentary to the examples in Capacity union in order to make clearer the difference between capacity unions and capacity intersections.

Consider a (demi∩nide)romantic person. The prefix "demi-" can be represented by the set {general desires for a relationship with people whom one has sufficiently emotionally connected with, urges to do specific activities with people whom one has sufficiently emotionally connected with}, and nideromantic can be represented by the set {general desires for a relationship with people whom one has sufficiently emotionally connected with, general desires for a relationship with people whom one has not formed a deep emotional connection with}. Thus, demi∩nide can be thought of as {general desires for a relationship with people whom one has sufficiently emotionally connected with, urges to do specific activities with people whom one has sufficiently emotionally connected with}∩{general desires for a relationship with people whom one has sufficiently emotionally connected with, general desires for a relationship with people whom one has not formed a deep emotional connection with}={general desires for a relationship with people whom one has sufficiently emotionally connected with}. In the context of romantic attraction, demiromantic can be represented by the set {general desires for a romantic relationship with people whom one has sufficiently emotionally connected with, urges to do specific romantic activities with people whom one has sufficiently emotionally connected with}, and nideromantic can be represented by the set {general desires for a romantic relationship with people whom one has sufficiently emotionally connected with, general desires for a romantic relationship with people whom one has not formed a deep emotional connection with}. Thus, (demi∩nide)romantic can be thought of as demiromantic∩nideromantic={general desires for a romantic relationship with people whom one has sufficiently emotionally connected with, urges to do specific romantic activities with people whom one has sufficiently emotionally connected with}∩{general desires for a romantic relationship with people whom one has sufficiently emotionally connected with, general desires for a romantic relationship with people whom one has not formed a deep emotional connection with}={general desires for a romantic relationship with people whom one has sufficiently emotionally connected with}, so a (demi∩nide)romantic individual would only feel romantic attraction towards people with whom that person has formed a sufficient emotional connection, and even that would be limited to general desires for a romantic relationship without urges for specific romantic activities.

A (caligo∩grey)mental individual would rarely feel weak mental attractions and would never feel strong mental attractions.

The prefix "eras-" works in the same way with capacity intersections, where the situation includes whether the attraction would be before or after the vanishing occurred. For example, we have eras∩nocturnal={daytime attraction before the vanishing, nighttime attraction before the vanishing}∩{nighttime attraction before the vanishing, nighttime attraction after the vanishing}={nighttime attraction before the vanishing}, which describes someone whose capacity prefix used to be "nocturnal-" but is now "a-".

=Combining with capacity intersections= One or more of the capacity prefixes that a capacity intersection intakes can be a capacity union, and a capacity intersection can also be put into a capacity union. When this happens, one should use parentheses (as in set theory) in order to avoid ambiguity. For example, a (demi∩(nide∪gray))romantic individual would only experience romantic attraction towards people whom one has formed a sufficient emotional connection with, and even then, it would typically but not always consist of only general desires/urges for a romantic relationship without any desires/urges for specific romantic activities, while a ((demi∩nide)∪gray)romantic individual would rarely experience romantic attractions towards people whom one had not sufficiently connected with consisting of both general desires for a romantic relationship and urges for specific romantic activities and would frequently experience general desires for a romantic relationship towards people whom one has formed a sufficiently deep emotional connection with, but these would only rarely have associated urges for specific romantic activities.

Affinitive–amative intersections
One can take the intersection of a affinitive prefix and an amative prefix to get an affinitive–amative intersection prefix, which specifies what gender(s) one can feel attraction towards and what types of attraction one can feel towards that gender/those genders. When doing this, it is typically not necessary to use an intersection symbol, e.g., typing demihomoromantic instead of (demi∩homo)romantic, unless one is making affinitive–amative intersections in order to take their union in order to describe a specific paroattractable (e.g., parosexual or paroromantic) orientation.

=History= Capacity intersections were conceived alongside capacity unions by MathAndCode on October 25, 2022 in the sense of using a specific symbol and conceiving a general pattern, but because MathAndCode did not have a Tumblr account, these terms were first publicly posted by tulipian on November 14 of the same year. However, there previously existed terms for capacities that can be retroactively identified as capacity intersections; for example, demigreysexual can be systematically viewed as the capacity intersection (demi∩grey)sexual.