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Its hard for humans today to visualize higher dimensional physical spaces, even though after study, we can easily reason about them mathematically.

I wonder if that's analogous to the barrier that was crossed 70k years ago according to the theory in the article.

However, we routinely visualize high dimensional information spaces without even realizing it (though probably through some heavy dimensionality reduction). It's almost like we have the hardware for high dimensional reasoning, and some software to apply it to physical dimensions (the language of math), but no drivers to accelerate the latter with the former.

I don't think we visualize high dimensional information spaces. We have tools for dealing with them, but of a completely different nature.

I understand visual perceptions and descriptions to be literal mappings of high-dimensional information spaces.

Smooth vs rough vs rippled vs grainy, fuzzy vs hairy vs spiky, striped vs mottled, etc. We get a lot of understanding of a material’s properties by looking at it, coupled with prior experience with similar-looking ones.

There’s even more richness involved when you take human cultures and other senses into account. I’d be surprised if I tried to turn what looks like a doorknob and it didn’t wiggle even a little; every locked one I’ve met does. I’d be shocked if my hand passed right through it instead. And when applied to other people, my God! It’s usually easy to tell when someone is angry or bored, often even if it’s aimed at us vs some third party—how many dimensions does that encapsulate?

Many animals are clearly capable of this too. The language appears to be the leap. It makes me wonder even more about crows talking to each other about which humans feed them, and what a shotgun looks like and can do.

Yeah, we already live in n-space. 3D is a convenient fiction that models reality in very specific instances.

I should have said we humans process high dimensional information, like the 5 conscious senses, plus subconscious sensory input, and symbolic representations, like language and images.

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