Mathematics and Childlike Faith

In thinking about how calculus works, I realize that there is an element of faith involved. Evidence points to the fact that something is, but can never exactly say that it is. This is not to say that it is not, it is to say that we can never really verify that it is. Motion is peculiar and in a very real sense unexplainable. This is where childlike faith comes in. There is no need for explanations with childlike faith. We are simply taken in by what is and enjoy it deeply in those moments. This is how babies and children do it. I am not advocating ignorance concerning mathematical truths. What I am advocating is that there is always a deeper truth that mathematics and any of its derivatives cannot touch and that mathematics plainly acquiesces to these truths as it requires logic outside of itself for its strength and application.