Huh, I'm not familiar with that terminology. In my sphere of familiarity, "vector" mostly just means "list of numbers augmented with a dot product and matrix multiplication". And the dimensionality of the space is just the number of values in the list, like (0,0,0,0) is a 4d vector.
My mental model of gender is basically a collection of points in an extremely high dimensional space, and we're just saying "find the average man, find the average woman, and use these two vectors as basis vectors for a low dimensional space which we project the entire space into for that purpose of resolving the bet"
Okay but do you at least agree you have to use multivectors? 1D vector gender is clearly insufficient
How would you even represent a gender as a 1D quantity? Even ignoring xenogender axes you need at least 2 dimensions
I was conflating dimension and degree.
Vectors are a degree one quantity in 2+ dimensions. Bivectors are a degree two quantity in 3+ dimensions.
Huh, I'm not familiar with that terminology. In my sphere of familiarity, "vector" mostly just means "list of numbers augmented with a dot product and matrix multiplication". And the dimensionality of the space is just the number of values in the list, like (0,0,0,0) is a 4d vector.
My mental model of gender is basically a collection of points in an extremely high dimensional space, and we're just saying "find the average man, find the average woman, and use these two vectors as basis vectors for a low dimensional space which we project the entire space into for that purpose of resolving the bet"