Imo, inteligence is the ability to relate information and get the results you want. A good chess player remembers how I move and is able to use that to move the situation towards his prefered state (winning).

Google "theory of multiple intelligences", it describes different areas where one can be proficient. For example, logical reasoning, social skills, music, etc. Noone has ever created a good metric for "general inteligence" or how smart you are in total, and it is debated if such a thing even makes sense.