It's just that, yeah, sure, F types might stereotypically have more emotional intelligence and T types more logical intelligence.
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People are usually like a computer program, they're sort of predictable in the way they behave and react to things. After observing them in all sorts of situations, you can ultimately calculate the odds of them reacting a certain way. So, it only makes sense that ther is a pattern to everything. If you are aware of the pattern, the odds of you knowing when an individual will be upset/ happy/ angry, are rather high. Now there are plenty of other elements, but if you can include them in the equation, the rest is like walking, You'll most likely get the hang if it.
I think people consider the feeling aspect of humans to be a weak spot. Which is idiotic. Imagine what you can do when you have a common human figured out. When they're emotionally invested in a person that is not emotionsly invest in them. They'll be a puppet to the puppet master. You can utilize that and make work so much more efficient when people are willing to do more than they usually will to help you achieve that goal.
This makes me sound horrible. I'm just saying. If you know how to butter your bread. Breakfast Is going to taste so much better.
Having EQ is a great tool. And when all else fails, including being direct, it's great to have a plan b to fall on
I don't think that's real emotional intelligence - if that were the case, sociopaths would have high EQ.
I'm not saying ENTJs can't be emotionally intelligent (of course they can!!!

) but I think emotional intelligence also requires being able to nurture, comfort, counsel, and empathize with other people readily. It also requires acceptance and analyzation of feelings.
These things are easily achievable without having to be emotionally involved. It's not hard to know what people want, and what makes them feel "special/important"
Only genuinely special people get that kind of treatment from me.