However, there's a third category and a serious problem. Maybe more as well, but I'll talk about this third category, partially because I'm in it. Maybe someone else will snot on me and tell me I'm missing the point, thus saying more about their mindset than mine.
There is something about the transgender talk that is quite in common with the cisgender talk. That is, that male is male, and female is female, and never the twain shall meet.
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If I'm understanding correctly, I've seen this discussed in one or two essays, but it's a subject that's difficult to bring up.
Gender dysphoric people, the ones who insist on sex changes, are emphasizing that gender is binary. They're on one side of the fence, and they want to be on the other.
That contradicts other people, who want to point out that gender isn't binary and that there's room for lots of other in-between, non-conforming, new-and-creative kinds of gender. A transexual who goes from being an unhappy man to a happy female, one who feels all female now, is undercutting the idea that such non-conforming genders exist.
I can see the idea that some people don't strongly identify with one gender or the other, or don't want to bother with gender identification; they just want to be themselves.
I can also see, admittedly more easily, why a transexual person sees gender as binary and wants to cross to the other side, because gender
feels binary to me, so that's part of my personal experience. My mind and body and socialization match and are all male, so if a transexual can reach that level of conformity, or close to it, he'll be comfortable too (if he's female-to-male; the opposite for male-to-female).
Am I understanding correctly what you're saying? Because I do think it's worth bringning up that transexuality undercuts other definitions of gender beyond binary male and female.
So how does one integrate it all? Maybe there are transexuals and contented cis people out at the far ends of the male-female scale, with other people closer to the middle. But if society has trouble redefining someone as the opposite gender after sex reassignment surgery or just hormone treatment, society is going to have an even harder time understanding those who can't be or don't want to be categorized.