Since you mention it, 3b1b has a splendid video juxtaposing two attitudes to problem solving via an example here: https://www.youtube.com/watch?v=ltLUadnCyi0 ht

Since you mention it, 3b1b has a splendid video juxtaposing two attitudes to problem solving via an example here: https://www.youtube.com/watch?v=ltLUadnCyi0 https://www.youtube.com/watch?v=ltLUadnCyi0 . I highly recommend watching it, I think it is one of his best.