I am a very pronounced INTP, and my mom an INFP who is close to being an ENFP. I guess I'm more like my mom than my INTJ dad, but we are still quite different.
My mom does like to acknowledge that things can be simply correct or incorrect, instead insisting that we should all share our personal preferences and be respectful of how other people like different things. I think Fi hears "there are no right or wrong answers" as "don't worry, anything you say will be right," whereas Ti hears it as "abandon all hope, for you shall fail miserably no matter what you try, and shall never be able to correct your mistakes or learn from them."
She is much more likely to make positive comments on things, and to give what I consider empty praise. I am more critical, and always much prefer constructive criticism over empty platitudes. She tries to be polite, whereas I don't really see any options except being honest or silent.
Her intuition is generally amazing, but her reasoning skills almost non-existent. She claims that when she makes a wild guess she is usually right but that when she thinks things through she is usually wrong, so she has pretty much given up on logic. Her driving instructions are horrible (when going 45 miles per hour, being told of a turn only 15 feet in advance is not enough), yet she is rarely more than 30 seconds off when estimating how long it will take to drive home from just about anywhere. She comes up with a lot of ideas of how random things could be useful and so suggests saving them to make something out of latter, while I immediately know that the amount of work needed to make it worth anything could be much better spent in other ways.
We are both rather lazy, but we approach the concept of work very differently. I see real problems that need fixing, and think that jobs should be assigned based on who does what most efficiently. She thinks that it is more important that everyone has one job to do every day so as to "feel like part of the family." I'd focus on getting the big repairs done first, while she insists that we need to get the place really tidy so as not to be embarrassed when a stranger comes to fix something. I generally don't care what others think of me unless it is someone I really like or someone on whom I depend for a grade. She leaves a big tip regardless and bases it on the total price, whereas I save big tips for exemplary service and I think that tipping should not take the price into account at all as doing so only encourages them to charge more.
My mom often anticipates what other people want and tries to give it to them, even if they repeatedly insist that they do not want it.
I think her hearing has gotten rather bad lately, but she just answers whatever questions she was expecting rather than asking for clarification as to what was said. (By contrast, my dad has long had poor hearing but he asks for clarification if he thinks he got even a single letter off so it does not lead to as many misunderstandings.) My hearing is not bad, but I ask for clarifications more, both based on possible mishearing and farfetched interpretations that depend on puns.
My mother seems to think that she has a duty to reply to every email she receives. There is one person to whose emails I'll always carefully, but most of the time when someone messages me I ignore it. She frequently forwards things and emails links to YouTube clips she liked. I never do that. When at a party she seems to think that part of leaving is going around to talk to everyone one last time to say goodbye, whereas I think of leaving as swiftly and quietly going out the door.
I never really do anything based on how I feel at the moment, but may based on a general trend of how I have felt for months or years. Typically I don't really know how I feel about something until much latter. When I do know how I feel immediately it is usually indirectly, through a sudden and powerful reminder an important point in my past to which I have already ascribed an emotional value. I tend to believe that there must be some good reason for the feeling which I need to figure out, and that while emotions an good for drawing attention to important concerns those concerns must be address dispassionately.
She is normally very calm, but quite unpleasant and irrational when angry. I get angered even less often, but find that when I am I tend to gain even greater self control, becoming cold instead of hot, focused instead of chaotic,