Gender presentation is behavior.
> but gender itself can be a social construct
Gender is socially ascribed status.
> It seems to me that gender presentation depends on gender.
Depending on the basis on which gender is acribed, it could well be the other way around.
>Depending on the basis on which gender is acribed, it could well be the other way around.
How is it possible to have a concept of gender presentation without having a concept of gender? The definition of gender presentation to me seems to rely on the fact that there's a thing gender. Whereas you could imagine a world where gender exists but no gender presentation exists. Therefore I believe gender does not depend on gender presentation.
So no, you don't require CGT to make a distinction between biological sex and the fuzzy notions of 'woman' and 'man'.
To give some examples: is a person with XY chromosomes but Androgen insensitivity (testicles, but a purely female phenotype, including all anatomy, such as a uterus) Male or Female? Purely biologically, obviously male (small, mobile gametes). Would you send this person to male prison? Would they be able to inherit the title of King in medieval society? Should they be encouraged to dress as a man, because that is their biological sex? Should they not be allowed to a gynecologist, since gynecologists are only for women?
Similarly, let's say you have a person with XX chromosomes born with a typical female phenotype, but who has undergone bottom surgery and testosterone therapy, so they now have no breasts, hair on their chest, a penis and apparent testicles. Is this person female? Biologically, yes - they have (or had) large, immobile gametes. Would women feel comfortable if such a person were to undress in a female locker room? Should an advertising company seek to target tampon ads to this person, since they are biologically female? Should they be allowed as a contestant in a Miss America pageant?
The discussion of how malleable the relationship between sex and gender is, and CGT does make arguments in that area that are arguable. But it is not arguable in any way that the concepts 'man' and 'woman' are much fuzzier than biological sex, that they are socially constructed, like all other natural language words and concepts.
As to classifying what dragonwriter has written as hokem people would find it more convening if you gave an actual argument.
Yes, it is.
> Your gender is the ability to become pregnant or to impregnate someone
No, that's reproductive function. Which is closely related to (but different from) biological sex, and not particularly closely related to gender.
> What's socially constructed is how your gender is presented
No, gender presentation (and gender identity, which is related to but different from presentation) is not a social construct, though it is influenced by gender, which is.
> or implied because of said society.
If you mean “ascribed by” instead of “implied because of”, that's what gender, distinct from gender identity, gender presentation, sex, reproductive function, etc., refers to. So, aside from not understanding the terminology, you seem to correctly understand that it is a social construct.