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Beehaw decides: what is the set of all genders?
(strawpoll.com)
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Now we are getting into the quantum physics question of if the universe is discrete or continuous. Which seems to be unsolved.
So I guess that's my answer. If the universe is discrete then there are finite genders, and if it's continuous then there could be infinite genders.
I fucking love where this went, as I was thinking the exact same responses while reading this thread! Love it when a question about gender results in fundamental ideas surrounding mathematics and the nature of reality.
so at the very least, the lower bound is the natural numbers, or a countably infinite number