Ti is subjective knowledge. It assesses what it knows subjectively and has opinions on what it deems factual and logical. It builds a foundation through establishing personal guidelines which are consistent and factual, switching facts to relate to theories internally.  Te is objective knowledge. It focuses on goals and evaluates the surroundings, and retains the information that leads towards the goals. They observe the world and then analyze it for developing the framework.  Hence, if you are a detective in nature, then you use Ti. It comes with theories and then moves to facts. It makes estimations one what makes sense to them. On the contrary, if you are inductive in nature, then you use Te. It decides the facts, then moves to theories based on facts. It makes decisions on the objective facts.