To have faith in is to trust in.

A specific type of faith called blind faith is what you get when your trust is baseless. However, there really is never a case of blind faith since faith is always based on something. For example, the base of some peoples' religious faith is a subjective experience.

As humans it is very difficult if not impossible for us to absolutely prove most things. When it comes time for us to make a decision we are not taking into account the possibility that the laws of physics will radically change. This is because we have a very high faith in the constancy of these laws.