That's also bad, yeah. We came to the abstract definition because it has value after all. (I think) OP and me just stated that it's not necessarily useful or su

That's also bad, yeah. We came to the abstract definition because it has value after all. (I think) OP and me just stated that it's not necessarily useful or sufficient to try to understand starting from the definition, but I do think there is still value in even just stating the definition already, for reference. Luckily I can't remember encountering that didactic approach in math or language learning, but I'm not surprised at all if it exists and is somewhat widespread.