The only intelligence is the ability to learn the standard curriculum (mathematics, debate, writing, history, science).
There are many different kinds of intelligence and learning styles:
The human mind apprehends the world by many means other than by breaking it down into parts and studing the parts, one by one. It can grasp the whole, without dissecting it. This method is often superior to analysis.
Intuition is not inferior to other means of knowing things. In fact, it is often more accurate, because it includes all sensory information, and understands things in their context.