Imagine holding an almost spherical die with thousands of tiny faces. Each of them is highly unlikely to end up on top when you roll the die. For each face, you have a very high credence in the proposition that it will not end up on top. But when one of them does end up on top, you would not be surprised.When something that we believe turns out not to be the case, we are surprised. So you did not, for any of those faces, believe that it would not end up on top (you believed that it very probably would not). Very high credence is not belief (despite what many philosophers believe).
I see a red car outside my window, and I can see that its red colour is out there, where the car is. If you told me that the red colour that I was seeing was on the surface of the car, where its paint was, I would not believe you: your saying that would remind me that the red that I see is only in my perception, that it is not actually out there where the car is. Still, I would feel some surprise at that thought, for all that it would be a very familiar surprise. Even though I have a very low credence in the proposition that the red that I see is out there, where the car is, I cannot help believing, each time I look at the car, that its colour is out there. Seeing that it is out there is, at least momentarily, believing that it is out there. That is just the way my perception works. And yours? What about when you look out of a window. Consider any particular arrangement of cars, leaves et cetera that might be outside some window that you could easily get to. Presumably the chance of there being that particular arrangement is very low. You would be surprised if that was the view, were you to look out of that window.
It would be like putting a tiny red dot on one of the faces of that almost spherical die, rolling the die and seeing the red dot on top of it when it stops rolling.Still, it would also be surprising if you had been able to imagine the view from that window in very much detail before you looked. So, suppose that you go to that window and look through it: you would probably have an unsurprising view. And you could then ask yourself whether you believed, before you looked, that that view was not going to be what you saw. Look now. I think that before you looked, if you did look, you did not believe that you would not have that view. Had you had such a belief, would you not have been much more surprised? Perhaps you were surprised (perhaps, for example, there was a red car there, and you were not expecting there to be one); but even then, your surprise would not, I think, have been like the surprise that we feel when something that we believe turns out not to be the case. It would be less, I think, than your surpise at the red of the car not actually being out there where the car is.
If I believed, of each of that die's faces, that it would not end up on top, then I would believe that none of them would end up on top.That is how my beliefs appear to me (if I believe that an object is a car, and I believe that it is red, then I believe that it is a red car). How do yours appear to you? Beliefs are what they are, and what they are is not a million miles away from us. We can find out for ourselves what our beliefs are, our particular beliefs, and also beliefs in general (beliefs of various kinds) if we are philosophically inclined, and sufficiently logical. I wonder if philosophers who say that belief is very high credence are confusing belief with a mathematical model of belief.

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