I can totally see how someone might be 69, but still running triathlons, and want to identify with an effective age that is 49.
I fail to see how these two cases are different.
gen·der
/ˈjendər/Submit
noun
1.
the state of being male or female (typically used with reference to social and cultural differences rather than biological ones).
Some (most) people. As with most things, the whole truth is not that simple.
Regardless, "sex" and "gender" are also not the same (though they're usually closely related). There's nothing about having a Y chromosome that makes one have short fingernails, short hair, unable to wear dresses or high heels or paint one's fingernails.
There were a study that looked if biological sex difference in the brain matched the chromosome or the gender that a person say that they are, and it found that biological sex difference did not match the chromosome for transsexuals. It matched the gender that the person said they were. The study also concluded that hormone replacement was not a factor as they only tested those who had not gone through that.
This mean that genital and secondary sexual characteristics are not adequate to correctly identify the genetic sex, nor is biological sex difference such as brain composition, bones or other traits which normally differ between genders. DNA is the closest thing to a clean binary state, but then we have strange cases where some individuals have multiple DNA in them, and thus have both XX and XY. As such the best scientific conclusions is that both gender and sex is a probabilistic result of the combined traits that we associate with male, female, man and woman.
What I'm trying to say is, a lot of very unobvious things are socially constructed, I think.
No, you think you can easily tell their sex, because people who have successfully transitioned are the ones you can't pick out. It's confirmation bias.
Edit: TL;DR by my understanding your definition of societally determined is so broad as to not really be very meaningful.
Excepting general relativity time dilation Interstellar situations, that is.
> Age has a definition.
Relativity explains that this definition is subjective, experimentally.
Astronauts experience time differentials and it will only get more obvious as we go farther. Again, the concept of granularity (how much of what matters from what perspective) applies in both cases - age and gender.
This isn't a justification. Resolve this philosophically however you like with one and I observe that it should be true in the other case.
That's happened zero times thus far, so I stand by my original argument.