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Mentally simulating objects in higher dimensions is one of the most straightforward examples of the limitations of the human brain that an AGI would not have.
- Mathematically, there's little difference between 3D and 4D.
- It's trivial to program a computer to simulate either.
- But to us humans built by evolution in a 3D world, such things are off-limits.
- ...Or are they? Humans can learn echolocation, despite that seeming like a pretty hardcoded sort of sensory ability, and not one that humans evolved to use normally.
- Blind mathematicians may make better topologists, working with such concepts in a way that does not privilege 3 dimensions.