The argument in favor of Socrates being an ENTP is at best superficial and almost wholly ignores his inner life which was preponderous over his outer life. This is a classical error of doing typology based on personality ans not temperament, confusing appearance for essence. His thought also bore very little semblance on Intuitonism prominent in eminent ENTPs like Hume and Maimonides. Socrates was more of a sytemizer and an analyst than a visionary and his visions mostly, however crude they were, were never an end in themselves but almost always means to his problem solving.
Al Gore was also an INTP, see the earlier thread discussion on this subject matter.
I'd like to see the all INTJ list as well please.