Yes, attention and "self-consciousness" are higher levels of consciousness than the 1D model of reality that simple sensory things have. Humans have 3-4 dimensions of modeling ability, from what I can tell. (Giving us 4D space-time awareness.)
The selection can also be multi-dimensional, which means that we can use multi-valued functions to select a range of objects, whereby the variation of the values yields an ordering of these objects in a space. When we talk about the "stuff in space" space, we mean position space.
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Position space has interesting mathematical properties, for instance, it can be nested, so each object can have its own subspace, which remains locally invariant under conditions of translation, scaling and rotation.
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There are many other spaces, for instance color space, or the space of all possible chairs, or the space of facial expressions. But these don't have same properties as position space; the operators that combine multiple dimensions may each work differently.
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