Yes.
And this is explained more properly with a different view of what the roles of the functions do.
Archetypal Roles of the Functions
Pe (child)
The Pe function, regardless of hierarchical placement, plays the role of the
Puer Aeternus. It is responsible for giving a person's personality an element of playfulness, youth, and curiosity. And this quality can be directly deduced from the fundamental attributes of extroverted perception, which are:
* Insatiable impulse for new/novel information. Proactive (E) perception (P) is the active seeking-out of information not presently in your grasp. Whether this information is literal -- as in Se, who seeks stimulation -- or figurative as in Ne, who seeks funny or novel associations and imagery acrobatics, both are driven toward a type of
new-ness. In culture at large, and in the individual, Pe is the function that is creative and productive in the artistic sense.
The music industry is saturated with Se-leads and the entertainment industry (say, animation) is saturated with Ne-leads. Pe is the regenerative, ever-young element within our culture that alters and changes the energy of our society.
James Hillman, one of the successors to Jung, put this eloquently in a quote found in this article related to the
Puer http://pueretsenex.blogspot.com/ although he's not tying it to Pe.
Pi (parent)
In the same article, Hillman talks about the Senex, which is the archetypal equivalent of Pi. The qualities of the Senex are those of age, of what one roughly calls wisdom and the prudence brought upon by time but also by holding a long history of information behind you.
Again, these qualities emerge spontaneously from the Pi function by virtue of its configuration. Introverted (I) perception (P) does not
seek-out for information, but goes
within (I) for it, from what has been absorbed from the past or intuited to be the case overall about the world. In the heightened form of this function, Pi can be very closed-off, isolated in its perception and resistant to change. Indeed, Pi has an "old" quality to it that needs to constantly be offset by the spontaneous energy brought to it by the Pe function.
Without the Pe function, the Pi function will stagnate; having in its own libido no innate motion toward any part of the world (E). The Pi function, for all its wisdom would, if given the chance, be entirely content holding a perception of life composed entirely of the information already gathered. This naturally doesn't happen fully to anyone because few people are so one-sided, but that is ever the vector it seeks to follow.
And this is what heavy Pi types are often "parental" or giving advice, often seeming to be the "responsible" one for their age, or the knowledgeable one with an arsenal of facts.
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Je & Ji
I haven't thought thoroughly enough about Ji and Je, but they also likewise embed into their hosts certain archetypal qualities. In brief, Je is more tied to the heroic journey, and Ji is tied to self-discovery.
The judgment functions, by virtue of their quality of
delineation, are primarily what consciously participates in the creation of the
ego. That is to say, delineation and the drawing-of-boundaries within ideas and concepts, extends to the self.
This is why FiSe's have such a keen and particular "sense of self". Self-discovery, and more broadly, self-questioning/investigation, is very much a quality brought up by Ji. The same applies to Ti, naturally, but the question is explored in more philosophical levels.
And Je, as what I term the articulator function, ties the ego toward the accomplishments made or not made in the world. It is a type of super-ego function, to borrow a Freudian term. Both Je and Ji are concerned with "the self" archetype; Je with what your external capacity and ability says about who you are, and Ji with what you believe and conceive as being a root and anchor in who you are.
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Given these categories, for a TiNe, for instance, Ne is always a "child" function and Si is always a "parent" function. Not the other way around, as Beebes would suggest. Growing into Si is synonymous with 'maturation' or 'adult-ing' for a TiNe. And growing into Ne is more akin to loosening-up and becoming more child-like.
Se is the
other child function which they don't have, but they can appreciate it in others. It's really a TiNe's Ne that is laughing at Se's antics, and vice versa. Because these two children get along with each other. The same applies to the relationship the other functions have toward their missing siblings.