What is a belief, and why bother having any? After all, if nothing can be proven as true, why would we believe in anything anyway? But certainly, we believe things, even against all sensory input.
For instance, if you stand in the middle of train tracks and look at them going off in the distance, your sensory input tells you that they meet up yonder a ways. And yet, you don’t believe that. Why would you go against your perceptory input on this? Probably it is because you have prior experience with tracks, watching them while on a train or walking, and have had the experience of seeing them open up before you as you move. Or do they open up before you? Though your senses tell you they do, you don’t believe that either. You believe they are stationary, not moving. But if that is true, how come they come together at the horizon, but never where you are?