@nosilverv a keystone of utilitarianism, lesswrongian rationalism, effective altruism, ai singularity/accelerationism, flesh-dystonic transhumanism etc qua ideologies and practice is to systematically shred any particularist (word chosen carefully) empathy, concern, etc you feel for mankind
this is a good point, C(a, b) makes sense mathematically
but i still don't really like it because i think homsets are mentally compartmentalized differently from regular two argument functions, and the notation should reflect that
x.com/diracdeltafunk…
@qualiascript@quinnswm If you'd like, you *can* think of C as a function, that is being applied to the tuple (a,b) to produce the hom-set C(a,b). That was always allowed (and in fact is the way some people define categories!)
sorta dunked on myself here by forgetting "easily parsable" can be read as "easy to understand"
what i mean is (a, b) overloads tuple notation and C(a, b) overloads function application notation, which risks making parsing some formula potentially ambiguous, imo unnecessarily
@quinnswm i think you're missing the point. i understand the notation, sure, but out of context C(a,b) could easily be a function application and (a,b) a tuple. it wouldn't be necessarily easily parsable given some context in which they would be used
@iron_redux im pretty bad at a lot of math that's not in that abstract algebra / category theory vein. like genuinely, not being humble. i struggled with trigonometry in high school, wasn't great at integrals either
@iron_redux i remember i asked an LLM how much time it would take to understand any part of nlab semi-comprehensively, it said years of serious academic study. it took me like a month
now if only i was this superhuman at actually useful things
@iron_redux honestly i learned quite a bit of math by just browsing nlab and trying to make sense of it
i don't recommend it though, my brain is wired in a very weird way, anyone else would say that's the worst possible idea
i lost interest in the culture war because both parties suck
there's no good option if you care about basic civil liberties, the only bipartisan policy is making Americans cattle
i support both the DSA and Massie taking over their respective parties cuz i want things to burn
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