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Beehaw decides: what is the set of all genders?
(strawpoll.com)
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I'd say finite, up to 8.1 billion options. My throught process is that what isn't alive doesn't count.
That begs the question: is "gender" exclusively a human experience, or is it a construct or quality that describes something? What about animals, plants, other living begins, viruses, AIs, etc.? If it isn't exclusively human, then where do we put the line? Does Earth as a whole have a gender?
Understandable, but I would say the entire set would include genders and gender variations that haven't been seen in the wild yet.
Similar to how you don't need to write down all the possible numbers between 0 and 1 to know that they do exist.