Ne being objective and Ni being subjective... Would it be "Ni" then when say for example i read a portion of Nietzsche's Ecce Homo and i instantly / intuitively recognize myself / my own worldview also in what i read in a way that could have been written for me...
What Jung meant by objective/subjective was to help distinguish what he meant by extroverted and introverted.
Ni, Ti, Fi, and Si are all introverted, namely subjective.
Ne, Te, Fe, and Se are all extroverted, namely objective.
The problem then with these words, subjective and objective, is that they often are used to denote what is real and what is not. However, Jung recognized that the subjective and objective are intertwined and saw subjectivity as fundamentally real, just as objectivity. So this wouldn't be what he meant and thus no one would ever then truly be subjective or objective. Godel's Incompleteness Theorems represent this, as do many logical paradoxes, such as the Liar's Paradox - because without
knowing that what you start with is absolutely true, you can't know if anything else is absolutely true and everything would be uncertain in terms of truth.
So rather, an introverted function is so because it
deals in the more subjective realm of reality, which involves the self, but doesn't have to involve just the self. For example, if I were to describe another person, it involves subjectivity, because how I have come to understand them takes certain things about them for granted as true, a process that then inadvertently relates back to how I understand myself. The main point being though, an introverted function creates an understanding that involves a focus on taking certain things for granted as true, whereas an extroverted function takes a more conservative approach and is more focused on taking as little for granted as true as possible.
And consequently an extroverted function is so because it
deals in the more objective realm of reality, which doesn't involve the self. For example, an extroverted person will see how the outside world is behaving and understand that as best as they can; but in order to do this, they have to focus more on what is directly happening and less on what they think or believe is happening.
I hope this helps? Can you answer your own question after reading this (if you read it, lol)?