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"
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"