3)Contradictions exist and need to be resolved. Logical thinking (T) is more important than pure abstract perception (N) in coming up with ideas because it gives structure to our intuitions. It is logical thinking that unconvers those unconscious assumptions, not imagination because the former is what shows to us the objective ways of looking at the world rather than what our fancies command.
For this reason, the INTPs, not ENTPs were the most prominent discoverers of complex ideas. Aristotle, Boole, and Galileo. There could be no doubt however, that a dominant Intuitive type has preceeded all 3 of these men who has had hunches about their ideas. They carefully analyzed those hunches and provided structure for them. Such a clear view of the situation allowed them to explore the ideas initially propounded by N doms in greater depth and more extensively.
In summary, there can be no doubt that Intuition is necessary to start an exploration of new ideas, but to give them structure and thus shape them into the form of 'ideas' , Thinking is necessary.
In philosophy, mathematics and the sciences. INTPs will outnumber the ENTPs in discovery of new ideas. In less complicated matters where less structure is required, ENTPs will have the upper hand. This is why the ENTP is known as the innovator. Why not the INTJ, the INFJ, or the ENFP? Simply because even in those matters, though less complicated, formidabble logical thinking capabilities are necessary.