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INTPs are pensive, analytical folks. They may venture so deeply into thought as to seem detached, and often actually are oblivious to the world around them.

INTPs are relatively easy-going and amenable to almost anything until their principles are violated, about which they may become outspoken and inflexible. They prefer to return, however, to a reserved albeit benign ambiance, not wishing to make spectacles of themselves.

A major concern for INTPs is the haunting sense of impending failure. They spend considerable time second-guessing themselves. The open-endedness (from Perceiving) conjoined with the need for competence (NT) is expressed in a sense that one's conclusion may well be met by an equally plausible alternative solution, and that, after all, one may very well have overlooked some critical bit of data. An INTP arguing a point may very well be trying to convince himself as much as his opposition. In this way INTPs are markedly different from INTJs, who are much more confident in their competence and willing to act on their convictions.

Mathematics is a system where many INTPs love to play, similarly languages, computer systems--potentially any complex system. INTPs thrive on systems. Understanding, exploring, mastering, and manipulating systems can overtake the INTP's conscious thought. This fascination for logical wholes and their inner workings is often expressed in a detachment from the environment, a concentration where time is forgotten and extraneous stimuli are held at bay. Accomplishing a task or goal with this knowledge is secondary.

Source: typelogic.com/intp.html

Test: www.humanmetrics.com/cgi-win/JTypes2.asp