The amazing order of the universe

No one can deny that the universe has some sort of order in it. But my question is: what does this order mean?
Now let's consider the set of integers, yes you read right, the set ..., {-1, 0, 1, 2, ...}. Quite simple wouldn't you say? The characteristics and relations between those numbers are so amazing (if you don't believe go grab a book on number theory). Where does this order and these relations come from. I would say no where. Mathematics is an abstract science and its truth does not depend on the existence of anything.
If something as simple as the set of numbers, i.e. things we use to count, has such beauty and order, why are we amazed by the beauty and order in the universe!!???

Rationalizing

Humans have a lot of defense mechanisms against the harsh reality we live in. Nothing is more interesting than our ability to bend logic so that we make what we want to believe reality. As many other issues in human psychology, one cannot fix it unless made conscious of it.

Complexity

The following are the levels of understanding of a subject matter:

• Being able to solve problems
• Being able to understand a solution put forth by others
• Not being able to understand a solution
• Not being able to understand the problem in the first place :)