So, we have the traditional view of gender, which is discrete. There are two distinct states into which everyone falls. Go a little bit more progressive and you get a line with "male" at one end, "female" at the other, and "androgynous" in the middle. Go a little further and you get what amounts to a two dimensional vector space, with male on one axis and female on the other, which allows for differentiation between "both" and "neither". Then, you can add an extra axis, perpendicular to the first two, and labeled "other", giving gender as a three dimensional vector space.

So far so good. I've seen this sort of model, or slight variations upon it, proposed numerous times. The problem is that "other" is a distinctly catch-all type of term. There's no reason why there can't be a second other which is independant of and orthogonal to the first one (and to male and female). Or a third. Or a fourth. Or any number. So let us add an infinite number of dimensions, each with infinitesimal contributions, and move over to a Hilbert space. Let us also remove the labels "male" and "female" from this basis since giving any significance to individual dimensions becomes utterly pointless.

So, each person has a certain inate gender, which is, essentially, some infinitely dimensioned vector within our hilbert space. It would then seem to make sense that we never actually observe the gender directly, but rather that we observe how certain operators act upon it -- or, to put it another way, how the person in question responds to a given set of stimuli. Now, if we allow our operator to be an eigenfunction to the gender's eigenvector then we allow for our actual observable to be a simple eigenvalue.

I'm just about managing to convince myself that it's plausible for their to be whole families of gender-functions which could have broadly similar eigenvalues for many operators, but maybe one or two divergent behaviours, and that this would, essentially, depend upon the exact form of the operators. There could be, for instance, two such broad families, which we could label "male" and "female" and then for the rare gender-function that falls outside these families, we could have chaotic behaviour.

It's simple, really.

So, did anyone understand any of that? And if so, does any of it sound like a remotely useful model, or was it just the pseudo-intelectual wangst that I believe it to be?

wyrdlinksrahaeliruthidave_t_lurker## senji pointed this page out on irc...

ewxI can't see how it makes any sense to talk of "the eigenfunction of an eigenvector": AIUI they are different names for essentially the same thing, generally used in different contexts.

Apart from that you've got a gender

g, a member of vector spaceG(possibly infinite-dimensional,), and some individual's interpretive responses to genderR, a function inG->G(presumably a simplification arrived at by taking responses to the world in general and considering only gender-related things). If you're going to talk about eigenvectors then I think what is missing is whyRis a homomorphism and why some person'sgshould happen to be one of the eigenvectors ofR.## Re: senji pointed this page out on irc...

rhoTypically, you can have a matrix M. This can then have an eigenvalue n associated with a eigenvector lamda. This gives you M*lamda = n*lamda. When I said "eigenfunction" I was refering to the (matrix representation of) the operator M. I think you may well be right that I've fluffed my nomenclature though; but that's what I was intending to refer to.

## Re: senji pointed this page out on irc...

ewxredbirdIt does lead, again, to the question of whether the tendency to collapse those observations to a very few points (often to only two) is primarily because that's what we've learned to see, or because most people's genders cluster in a few places.

I am also reminded of a friend's idea that there are as many sexual orientations as there are people; that we label them in a few groups for convenience or because we consider some differences/aspects more important than others; and that those labels in turn tend to limit our explorations.

nancylebovI'm recommend Hanne Blank's speech--she describes her sexual identification as sovereign. Aside from having a pleasingly high level of attitude, it may be a sounder theory because it allows for the possibility of preferences changing with time. Or is part of the point of the physics/math that you can leave time out, and assume that people have permenent orientations which get expressed varyingly under different circumstances?

I admit I'm skimming the hard parts of the math, so I'm not sure why the non-male, non-female points would exhibit especially chaotic behavior. I would think they'd just be outside the majority clouds of points.

rosefoxcattitudesath.

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Nahhh just kidding. I get it. :)

Yes, thats my idea of a joke today.

lothiePut in non-mathematical terms, I believe you said that gender is mostly a function of one's own internal and external environment, and that there are or could be as many genders as there are people. Therefore the only point of gender labeling is to make broad generalizations about a group of similarly-gendered people, with the understanding that these generalizations may be inaccurate and only temporarily useful.

And I say, wow, wouldn't it be great if gender were not an important data point in describing someone! In other words, awesome model, too bad most of society doesn't function that way.

Yet.

sariannamemevectorat any rate I was laughing as I was reading it (in a "hahaha that's so cool" sort of way) :-)

oscarhockleeI think you're somewhat wrong, mind, but that's mainly because I'd enjoy the argument ;-)

leorakathridOr perhaps I've mixed up two areas of maths in my head. It's a while since I did this sort of stuff.

(Deleted comment)rhoYup, that's fine. I doubt I'll friend you back, but that's just because I barely manage to keep u with my friends page as it is. I'm happy to have anyone reading what I have to say though.

lumiereIs it useful? It's a nice metaphor at this stage, and has all the uses of metaphor. But if useful means "allows more accurate predictions", then no, not necessarily at this stage of understanding.