Originally Posted by Azeroffs

The word possible is ambiguous here. I see what you both are saying and neither of you are wrong.

Ne and Ni both deal with possibility, just possibility based on certain criteria. The best way I can describe it is that Ni sees possibilities based on what is considered to be objectively real(Se) and Ne sees possibilities based on what is subjectively observed(Si). As a result possibilities based on reality creates a sense of future possibility. "What can I assume if everything is exactly as it appears?" Possibility based on observation creates a sense of originality of observation or seeing how something could be different than what it is. Potentially possible in other words. "What can be if X is what I have observed." Both essentially ask "What is possible?"

Just for fun:
Se: "What is exactly as is if X is what I assume?"
Si: "What am I observing if not everything is exactly as it appears?"
Both ask "what is?"