Intelligence is far broader than knowledge and reasoning. I like Howard Gardner's theory of multiple intelligences, which says there are 9 (although I think 1 or 2 of them are a bit flimsy). Things like visual/spatial intelligence, interpersonal intelligence, intrapersonal intelligence and musical intelligence are completely overlooked when one simply defines intelligence in terms of the common 'academic' manner.

The definition of intelligence used by schools, employers, governments, etc. is also so culturally biased. An African tribesman might not have half the knowledge of maths, literature or science as we do - but how many of us could ever catch our dinner and cook it?