Well, in my interpretation Intuition perceive something 'behind' concrete.
Classy example of mine, but it is a bit polarized: imagine a graph, x axis is time, y axis is the value. Imagine the next values for example: 3, 5, 11, 9, 15, 26, 29, 29, 32, 38, 35. Well, in this polarized example Sensing only stores the values, but stores them precisely, much more precisely than Intuition. Whereas Intuition perceives and stores the obvious rising tendency without much attention to the exact values.
Again this is really polarized, and people in this low level use both. But this is the nature I think: Sensing sees the tangible, the concrete, whereas Intuition sees 'behind' it and makes connections to other abstractized observations.
I'm not saying Intuition is 'better' or 'more' because even if it sees 'more', it neglects much of the concrete information which makes way for quick and effective decisions.
I think it's really the same with the judging functions as well: Thinking deduce upon what is 'there', what is logical, material, whereas Feeling 'sees more' it looks behind the reality and takes into account more the personal involvements of consequences of an action. It can do it, because it really sees human behavior in a way Thinking does not.
Again, Feeling is not 'better' it's just not the same: even if it's more people- or value-orientated, it manages not to be able to measure all the logical aspects of an action.