In trying to come to a better understanding of what exactly Te is I thought of this idea. I don't know if it has been proposed elsewhere, but I'd like to discuss it here.
It has been mentioned and makes sense that states of mind and information elements of the same intro/extroversion and rationality/irrationality are contradictory and cannot be engaged at the same time.
(ex. one cannot engage in Si (focus on physical now) and Ni (focus on abstract sequence of events of the past and future), Fi (ethically based conclusions) and Ti (logically based conclusions), or Se (perception of reality as is) and Ne (perception of potential meaning of reality) at the same time)
I tried to apply this idea to Fe vs Te. Since Fe is generally associated with expression and manipulation of emotions I figure that Te must also be associated with expression and manipulation.
I came to the conclusion that Te is clear logical expression which is quite serious and business-like. It is also associated with manipulation through logical means. This means Te-egos would be inclined towards acting very business-like and logically convincing.
This would be especially apparent in LxEs despite ignored Ti. Theoretically this might mean that an LxE could enter an argument without a clear understanding of the topic and still pull it off. So Te is known as algorithmic logic because their understanding is carefully pieced together fact by fact giving that illusion.
I think this makes sense for Fe-egos, because they want someone who can understand them objectively (Ti-seeking) without having to express themselves logically (Te super-ego).
Fi-egos would seek Te because Te-egos would be able to help them express how the feel clearly and logically while ignoring the fact that the Fi's conclusions are illogical (undervalued Ti).
Te is about clear logical expression rather than logical understanding.
Fe observes and controls changing emotions and cannot be used while Te observes and controls logical explanations. Te does this by observing explicit change of objective facts(external dynamic objects).
Fe asks "Why are they saying these things?" -> they must feel like this
Te asks "What does what they say mean?" -> they mean this
Fe acts with expression of emotion which is implicitly conveying information.
Te acts with clear logical expression which is explicitly conveying information.
both cannot be engaged in at the same moment.
Ji is the message and Je is how it is expressed.