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Beehaw decides: what is the set of all genders?
(strawpoll.com)
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Some people may even have a gender experience variable over time, maybe repeating cyclically, or maybe more or less randomly jumping across a set, or maybe sliding across a real section, or maybe sliding in multiple dimensions.
If we were to define gender as each person's "gender experience", the number would be g∈ℕ, since the number of people is going to be finite.
However, if we try to define a "gender experience" as a function of common genders, then g:[f(n∈ℝ),...], making it an uncountable infinite.
Interesting paradox: finite as long as one doesn't count them, but uncountable infinite as soon as one tries to.