You use your Intelligence, rather than your Wisdom, to determine all class features and effects relating to your Monk class, such as AC bonus, and ki pool.
If your potency in the School of Power is 0 or less for three or more days, you lose access to your monk abilities until you properly atone. This can be accomplished with the atonement spell, or by raising your potency in the School of Power above 0 and keeping it there for one week.
Following the teachings of Takeda Jia, you pursue enlightenment - but not through introspection, from close study of the world and how to manipulate it for your benefit.