As a product of human thought independent of experience,can math?To adapt to the objective reality is admirable.
The value of a person,should see him contribute what,but should not see what he's achieved.
Mathematics has high reputation is another reason,it was math to strict science provides a certain degree of reliability,not the math is impossible.Pose a question often is more important than solving a problem,because to solve the problem maybe is only on a mathematical or laboratory skills,and put forward new problems,new possibilities,from a new Angle to see the old problem,but need to have a creative imagination,and marks the real progress of science.