I use xe/xem or they/them pronouns ATM.

I wanna be a cat girl! Or a cat enby perhaps. Nyan.

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Joined 1 year ago
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Cake day: June 11th, 2023

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  • I’d imagine you want something defined recursively like multiplication

    • ( 0x = 0 )
    • ( xy = x(y-1)+ x ) ( y > 0 ).

    So it needs to be

    • ( x^0 = c ) (c is some constant)
    • ( x^y = xx^{y-1} ) (( y > 0 ) (to see why, replace multiplication with exponentiation and addition with multiplication). So what could ( c ) be? Well, the recursive exponentiation definition we want refers to ( x^0 ) in ( x^1 ). ( x^1 ) must be ( x ) by the thing we wish to capture in the formalism (multiplication repeated a single time). So the proposed formalism has ( x = x^1 = xx^0 = xc ). So ( cx = x ) hence ( c = 1 ), the multiplicative identity. Anything else would leave exponentiation to a zeroth power undefined, require a special case for a zeroth power and make the base definition that of ( x^1 ), or violate the intuition that exponentiation is repeated multiplication.

    On an unrelated note, it’d be nice if Lemmy had Mathjax. I just wrote all this on mobile with that assumption, and I’m not rewriting now that I know better.





















  • I suspect if you are trying to build an inclusive community but don’t have a lot of diversity already, the only thing you can really do to change the culture is to remind people to be considerate in the way they speak. And if most people who would be offended aren’t actually part of the community (but you would like them to feel welcome to join), then you might want some bot rather than a person to be the “narc” and remind people to be on their best behavior. So I guess if the mods are the only ones who want to be nice, then yes, it is a bit ridiculous because it will never work. Even if people change their language, they won’t be nice. But if most people want things to change, it could be a helpful way to both remind you to be inclusive and get the few people who would rather talk about how having to say bartender is censorship (without actually defending why they want to make a point of saying “barmen”) to realize that they either have to change the way they talk in that particular community or find a better fit.