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Rerarom

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no, the OP says it in a different sense, namely that even if you are duly impressed by these advancements, they will stop in a few years and a new line of research will be needed

Yeah 22 years ago as a young kid I was obsessed with reading the SOFTWARE catalog of my local computer store (the hardware stuff was all video cards that all looked like each other, the software was exciting stuff like space simulators! 3D graphics! video editing!).

And this was after the days of

https://en.wikipedia.org/wiki/Microsoft_Home

were quite over.

Because until we get mind uploading, there aren't enough smart people to cover everything (e.g. even though Tao knows way more math than the average mathematician, I have solved interesting math problems that are simply not in his or in any other genius's immediate interests).

Yeah, it's a very strong result.

On the other hand, for a say fourth degree equation, it just says that some solution expressible in terms of higher roots exists, but not how to find it. To find the expression, one needs to study the "generic" equation.

What are some good alternatives to Duolingo with fewer dark patterns? (And don't suggest traditional methods, I am very much not against them, I am just curious about apps and such.)