This is just the mind. You can make models of external (and also internal) world without being conscious of that. Consciousness is an integrated reflexive model of what the mind attended to. Attention is separate from modeling itself.
Similarly, a continuous spatial dimension is a function that selects a range of objects, features, events based on a latent variable that represents a point, interval, or distribution in space along a single direction.
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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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