Which one is cooler in your opinion? Which one creates the most interesting thoughts? The most useful? For what kinds of situations? etc.
Just curious if anyone had thoughts I'm doing some research.
Oh also which one is faster? I knew an INTJ and he tended to be a much slower thinker than me. I wondered if Ti was faster in some ways.
I'm not sure if this question makes sense. Ni is an "idea generator" (perception) but Ti isn't; the "idea generator" in an INTP is Ne (perception), not Ti (judgement). Ti is a "filter", the language for expressing these ideas, if you want, ordering the "chaos" that is inherent to Ne.
Being an INTP a Ti dom, the ideas and conclusions are "more perfect, well constructed" than is statistically usual in an Ne dom ENTP (but the last has brainstorms in higher frequency, could be more "creative"). But both of them use the same source of ideas, Ne.
Cooler? Every user with high self-steem will usually think that their dom (or aux) function is better. But as every valoration is subjective, the answers will be always irrelevant.
Interesting thoughts? It depends. If you associate "interesting" to "creative, original", then the answer will be Ne. As happens always comparing extroverted and introverted functions, introverted are deeper (go further) but narrower whereas extroverted are shallower but broader. Ne will consider more possibilites at the same time, so the probability of offering an original, innovative solution is higher.
But Ni has a property that I admire a lot, the capacity of changing the "meaning" of a item. Well, the lower capacity of an NTP for doing this is not the problem of Ne, but the associated Ti which uses temporally fixed concepts (while evaluating, later could change). As Ti uses fixed concepts, it is more difficult for an NTP change the meaning or the point of view of a concrete situation. Ni can find easier the positive in the negative, finding advantages in the apparent difficulties. This is a disadvantage of the TiNe pair.
TiNe has an advantage over NiTe: for evaluating (deciding if something is true) NiTe uses Te, which depends on the external world, whereas Ti has a "innate" capacity for seeing if something is true or not, or if there is something inconsistent in an apparent truth. For example, all of us see the Sun "orbiting" around the Earth; an external "proof" of what happens. Doubting about that "evidence" and adopting a heliocentric position
by a consistent reasoning would be easier for a Ti user, despite of the "inmediate evidence", when the heliocentric theory emerged. Te is satisfied by the "apparent truth", whereas Ti seeks "the purest truth".
Finding logical inconsistencies, errors in a reasoning, Ni is worse than Ti (a case in which these functions can be compared). Ti is "programmed with the finest logic rules", whereas the capacity of change meanings could make Ni falling in a "made-to-measure" truth (could easier see things in the wanted way).
About usefulness, it depends on the task. If you're playing chess, a Ni dom would probably be better because can think further in the game, Ni is superior in any strategization; making inventions Ne would be better, etc.
I don't think Ne is faster, neither Ni. Again, it depends. If you have a problem whose solution depends on creativeness, Ne would be faster. If the problem requieres a less innovation but "further in the same" way of thinking, the solution would be reached faster by Ni, whereas Ne is wasting time in irrelevant ideas, etc.