I will give you an example of my ENTP thought process for you tomorrow. I may even post a video. Also, I don't ever see a problem as "something I can't do anything about". I think that there is a solution to each and every problem. Each time someone says, "Well, there's nothing you can do about it." I just laugh in their face and say, "Oh I'll figure out how to do something about it."
Yeah you raise a valid point. In some ways I almost thing it's more about finding the perfect solution to a problem and fully understanding the problem with Ti, rather than actually solving the problem. I know that sounds crazy, but it's just Ti.