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Cake day: July 2nd, 2023

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  • no, there aren’t enough integers to map onto the interval (0,1).

    probably the most famous proof for this is Cantor’s diagonalisation argument. though as it usually shows how the cardinality of the naturals is small than this interval, you’ll also need to prove that the cardinality of the integers is the same as that of the naturals too (which is usually seen when you go about constructing the set of integers to begin with)















  • but isn’t the difference in one case free gender expression, whereas the other is (e.g. for trans male to female): I think I’m a woman and to show this I’m going to specifically dress in the ‘stereotypically womanliest’ way possible?

    or, more generally, people shouldn’t be using gender as the reason to dress and act the way they want to. else they’re affirming that a certain gender means a certain form of acting.

    obviously this is an exaggeration. but since we’re playing the game.