The structure as I see it, consists of the world, minds, and language; and the relationship between these three. The world is the backdrop, and we find ourselves existing in it. Our mind helps us to interpret the world (it's in the relationship between our minds and the world that bedrock or basic beliefs form); so in a sense our mind is the center between the world and language. — Sam26
Keep in mind that I am not trying to give a Wittgensteinian view, although I am using some or many of Wittgenstein's ideas, i.e., I am trying to expand on the idea of bedrock beliefs.
I asked in the OP, "What is the structure of our beliefs?" In a later post I suggested that the structure consisted of three things (the world, minds, and language). There is a kind of scaffolding of beliefs that takes place between these three. However, if we look at history,
the world and minds come first, i.e., before language (at least before a sophisticated language). This is why I have talked about prelinguistic beliefs, which I believe is essential to understanding bedrock beliefs, at least prelinguistic bedrock beliefs. My idea of beliefs is that beliefs extend beyond language, and that the best evidence of the existence of such beliefs is in our actions. Our actions show what we believe. If I open a door, this action, shows that I believe there is a door there. Our actions are a constant source of what we believe apart from statements or propositions. Wittgenstein suggests this very thing, "...we can see from their actions that they [primitive man] believe certain things definitely,
whether they express this belief or not [my emphasis] (OC, 284)."
If we want a good representation of what a prelinguistic bedrock belief looks like, then we simply need to look at those actions that express beliefs apart from statements or propositions. Almost any interaction with the world (the background) shows that we believe certain things. Even moving from point A to point B within the world shows that we believe in certain relationships between ourselves and the world.
What is the significance of these beliefs? The significance is that these beliefs arise quite apart from any conceptual or linguistic framework, which, I believe, is partly why Wittgenstein imparts a certain status to Moorean propositions. The belief, "This is my hand," although expressed linguistically using a statement, arises quite apart from language, i.e., my actions everyday demonstrate or show my belief that I have hands. A further point of significance is that such beliefs (bedrock) are outside any epistemological justification. Why? Because these kinds of beliefs arise quite apart from epistemology. Epistemology is linguistic, and the concepts used in epistemology are linguistic. There is no sense of justification when I open the door, I just do it. Many actions are like this, especially when looking back before language.
Wittgenstein talks about bedrock or foundational beliefs within the scope of language (for the most part), and it is with this scope that many other kinds of bedrock beliefs are formed. For example, the game of chess is based on rules, and these rules are foundational to the game. However, the difference between these foundational or bedrock rules, and the ones I demonstrated above, is that the rules of chess are expressed in language. The context drives the difference between these kinds of bedrock or foundational beliefs. This is partly what I mean by a scaffolding of these beliefs.