the language models can tell you how to do a fourier transform, and then you can have a conversation about what it all means, why it's important, the discovery, etc
[me] why are fourier transforms relevant to learn? what is the history behind them
[bing] Fourier transforms are relevant to learn because they are used in many fields such as signal processing, physics, and engineering. They are used to convert a function from the time domain to the frequency domain, which can help to identify the frequencies present in a signal and in what proportions. The Fourier transform was first introduced by Joseph Fourier in 1822 as a way to solve the heat equation. Would you like more information on the history of Fourier transforms or its applications?If we get slow incremental progress over the years then it will act like an interactive personalized encyclopedia that can teach you based on your strengths and help bolster you where you are weak, as the technology improves that is.
Now, it's still scary as hell in some ways even in this slow growth mode. The authoritarians will love to have a system like this that just forgets particular parts of history and make reports back to the mothership if you ask too many 'wrong' questions. So actual implementation will be interesting to see.
Now, if we have explosive growth to AGI and beyond, then pretty much every bet about the future is cancelled and we'll have more luck in taking random guesses, gluing them to the wall, and then throwing darts at them blindfolded.