Nice summary, but I dislike the fact that education has made the default understanding of these categories to be about retaining information/knowledge rather that your ability to compute/reason/intuit.

Yes, familiarity with a field should improve skill, but I like to think that one can be smart, intelligent or wise in a situation that does not involve previous information about it.

Someone exposed to a brand new game or puzzle can be smart, intelligent or wise in solving it separately (to some degree) from having prior information.