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You only know your own gender. Society refuses to accept the existence of nonbinary genders, but that does not mean they do not exist. This is like saying, "I like chocolate ice cream but not vanilla, and I have heard that many other people do like it, so everyone likes either chocolate or vanilla!"
People do not "choose" to like a certain flavour of ice cream. It is the same way with gender.
I get the point you are trying to make, but I think you have gender and gender expression mixed up. You can express yourself however you want. Anyone can be very masculine, feminine, or right in the middle, regardless their gender. You can like vanilla, chocolate, or any other flavor.
"Liking" is an analogy. I am not saying that ice cream corresponds to gender; I am saying that liking ice cream corresponds to having a gender. I understand what you mean, but if society (personified) asks another person what their gender is on paper, they will leave two boxes, not a blank space.
I don’t know what you’re trying to get at here.
There are only two genders, and gender is not a social construct. Women have XX chromosomes and men have XY chromosomes--this can be seen even before birth. You can't possibly be another other gender because gender is not a feeling; it's biological.
Gender is mental, while sex is physical.
Gender and sex are very closely related, and even the same thing on some legal documentations. And, if gender is mental, explain why people with gender dysphoria feel the need to change their physical appearance.
Admitting that gender dysphoria exists is saying that gender is mental. If gender and sex were the same thing, it would not exist. Yes, they are related, but they are certainly not the same thing.
Have you ever heard of intersex people with different combinations of chromosomes?
Being intersex doesn’t mean you’re a whole separate gender. Intersex people still have XX chromosomes or XY chromosomes—they’re still male or female.
I thought some intersex people had XXY chromosomes.
Intersex people with XXY chromosomes are just males with an extra X chromosome—still male. Being born intersex is very rare anwyas, so why are you bringing this up? Not everyone who claims to be ‘non-binary’ is intersex. Intersex itself is not a separate gender.
Have you ever heard of gender dysphoria and gender identity?
Gender dysphoria is completely binary. Gender dysphoria is the sole reason a trans person transitions; it aliviates their dysphoria. When a trans person transitions, they can only transition to female or male. How can you transition from being male or female to being nothing at all?
The existence of gender dysphoria does not depend on the ability to transition. The existence of a problem does not depend on the existence of a known solution.