I think of Ti as the logic between one statement and the next, eg. If tall people are ginger, and Tom is tall, then Tom is ginger. Ti logic is bulletproof as long as the original assumption is correct.
Te is more about the cause and effect relationship between observed events. If the door was left open one day, and my computer was missing the next, then leaving the door open leads to loss of items. It's empirical and can change with further observations.