I really do believe this btw. Every time I felt really frustrated with a concept, the problem was always, every single time, resolved via familiarity. It's so true and so well known that competition math and undergrad logic books will often explicitly say it in their introduction
@elocinationn@BayesianNuance Regardless, math is there for you if you ever want it again. It's big and there are parts you might enjoy. Hopefully your belief in a total ordering on human cognition won't ruin it for you if you ever do, but ideally you'd get over that because it is poison nonsense
@elocinationn@BayesianNuance Imo this "innate ability" ideology comes more from "politicization"/particular aesthetic sensibilities about how the world works -- e.g. there's a total ordering on cognitive ability -- and also unresolved angst over experiences in university/school math courses
@skitterspatial It's just about clarity, √2/2 is no doubt easier to think about wrt comparisons and geometry. But this trick is taught long before you might ever see any reason for it and it follows easily from other tricks so I agree with scrapping it
@KrishanghArjun It is not cultural. Calling someone by a numeric code assigned by bureaucratic process / software pretty universally identifies them as fungible utility vs a person
"Are there people who are naturally good at math and others who are hopelessly bad at math? I don’t think so. I think everyone has an innate mathematical talent."
— Terence Tao
What’s interesting is the argument that he gives: ⤵️
@littmath@pointed_max As a heavy user of these things, I don't see how they could ever function as theorem provers without embedding some strict and highly constrained language with unambiguous syntax and semantics
Mostly in the ways math trains you to think about hard problems: taking care with language and meaning, noticing details, having an intuition for when certain details matter and when they don't, persistence and patience, recognizing different shapes and forms of familiar problems
As powerful and beautiful as it is, I don't feel that math is the unique global maximizer of human knowledge and experience. Lots of essential lessons for being human come from elsewhere. I am always surprised though at how math will creep into other areas of my life
a major reason why math education is so valuable, even if you never actually work in a field using math, is that it really forces you to think in rigorous, organized, logical ways and leaves you smarter overall
@DataDeLaurier@powerbottomdad1@JoshuaGregory10 Compare: jobs where you have to ask permission to leave early, or use the bathroom, while making approximately minimum wage (i.e. 15x less before you factor in TC). In particular: do you think these conditions don't lead to burnout?