In short, we can only create intuitions that are based on 3D geometric objects. In short, what we call intuitive explanations are what satisfies our intuitive cognition. That is, a warm and fuzzy explanation that appeals to our own physical experience.
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Replying to @IntuitMachine @FieryPhoenix7
Not true! We can do at least 4D space (i.e. dims with rotational operators), and the tensor that we use to describe our perceptual content has hundreds of partially dependent dims (velocities and their first and second derivates, directions, colors, general distortions etc.).
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Replying to @Plinz @FieryPhoenix7
3D spatial coordinates and orientation (people always forget the latter). Time is just simulated in spatial terms. It boils down to just a few relations (i.e. proximity, sequence, composition and distinguishability
@markburgess_osl ).2 replies 0 retweets 2 likes -
I assume this means time is irrelevant to our experience in terms of what we deem intuitive?
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There are plenty of known illusions that confuse our perception of time. Time is relevant in regards to learning, but our perception of it is likely through our mechanism of spatial cognition. What we can perceive are sequences. Deprived of our sensors, we can't experience time.
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Are you sure it is not the other way around? Space is largely discovered by integrating differences in experience at different points in time? Information is about state change, as is the computation of models.
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Space = states, variation = information, change = time. Time is a perception of change in any number of dimensions.
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So in this model, momentum (i.e. velocity, derivative of time) is not part of state? Variation is distinguishability? Time is a change and not a sequence of changes?
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Physically, momentum is information disparity in space. Mathematically, it is the first derivative of trajectory. Cognitively, it is the parameterization of an operator that describes the change in position of an object in adjacent world states.
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These are physics definitions based on macro continuum spacetime. We then have to project out a sampling process for cognitive representation, which is discrete.
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Below the level of a somewhat continuous locally flat lattice, the notion of momentum falls apart, just as temperature falls apart when you focus on individual molecules.
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Wouldn't you be able to say the same thing as position?
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