The more I've studied this stuff the less useful I actually think the vitalizations are. Pamela uses the classic approach and I'm not trying to call her wrong but I think our intuitions really fail us outside 2D and 3D.
Once you move up in dimensionality things get really messy really fast. There's a contraction in variance and the meaning of distance becomes much more fuzzy. You can't differentiate your nearest neighbor from your furthest. Angles get much harder too. Everything is orthogonal, in most directions too! I'm not all that surprised "god" and "dog". I EXPECT them to be. After all, they are the reverse of one another. The question rather is about "similar in which direction?"
There's no need to believe you've measured along a direction that is human meaningful. So doesn't have to be semantics. Doesn't have to be permutations either. Just like you can rotate your xy axis and travel in both directions.
So these things can really trick us. At best, be very careful to not become overly reliant upon them
Once you move up in dimensionality things get really messy really fast. There's a contraction in variance and the meaning of distance becomes much more fuzzy. You can't differentiate your nearest neighbor from your furthest. Angles get much harder too. Everything is orthogonal, in most directions too! I'm not all that surprised "god" and "dog". I EXPECT them to be. After all, they are the reverse of one another. The question rather is about "similar in which direction?"
There's no need to believe you've measured along a direction that is human meaningful. So doesn't have to be semantics. Doesn't have to be permutations either. Just like you can rotate your xy axis and travel in both directions.
So these things can really trick us. At best, be very careful to not become overly reliant upon them