I don't think your example counts as "faith". Faith is a belief that isn't based on a proof or evidence, however in your case your belief was based on evidence. Your experience in previous cases made you believe that this was a woman who murdered the man because of the dropped gun. That to me counts as evidence and not as faith.
Another example for instance. Suppose I am in an unknown personal universe, and I have no idea how the laws of this universe works. So I take a ball and drop it. It falls upwards towards the ceiling. I do the experiment again, and the ball always drops upwards. "Aha", I think to myself, "Gravity works upside-down in this universe". I take the ball again, and prepare to drop it.
Now, I believe that the ball is going to fall upwards, because in all previous attempts (let's say there were 100 of them) it did so, and the conditions were exactly the same. When I release the ball, it could go down of course, but that isn't the question. The question is whether my belief in the ball falling upwards is based on faith or evidence. I would say evidence, and until the ball drops downwards I would continue to say it was a belief based on evidence. Once it drops down, I would have to rethink my beliefs, but up until that point I don't think it could be said to be faith.
What do you think?
Another example for instance. Suppose I am in an unknown personal universe, and I have no idea how the laws of this universe works. So I take a ball and drop it. It falls upwards towards the ceiling. I do the experiment again, and the ball always drops upwards. "Aha", I think to myself, "Gravity works upside-down in this universe". I take the ball again, and prepare to drop it.
Now, I believe that the ball is going to fall upwards, because in all previous attempts (let's say there were 100 of them) it did so, and the conditions were exactly the same. When I release the ball, it could go down of course, but that isn't the question. The question is whether my belief in the ball falling upwards is based on faith or evidence. I would say evidence, and until the ball drops downwards I would continue to say it was a belief based on evidence. Once it drops down, I would have to rethink my beliefs, but up until that point I don't think it could be said to be faith.
What do you think?