> I expect actual writing of code "by hand" to be the same sort of activity as doing integrals by hand - something you may do either to advance the state of the art, or recreationally, but not something you would try to do "in anger" when faced with a looming project deadline.
This doesn’t seem like a good example. People who engineer systems that rely on integrals still know what an integral is. They might not be doing it manually, but it’s still part of the tower of knowledge that supports whatever work they are doing now. Say you are modeling some physical system in Matlab - you know what an integral is, how it connects with the higher level work that you’re doing, etc.
An example from programming: you know what process isolation is, and how memory is allocated, etc. You’re not explicitly working with that when you create a new python list that ends up on the heap, but it’s part of your tower of knowledge. If there’s a need, you can shake off the cobwebs and climb back down the tower a bit to figure something out.
So here’s my contention: LLMs make it optional to have the tower of knowledge that is required today. Some people seem to be very productive with agentic coding tools today - because they already have the tower. We are in a liminal state that allows for this, since we all came up in the before time, struggling to get things to compile, scratching our heads at core dumps, etc.
What happens when you no longer need to have a mental model of what you’re doing? The hard problems in comp sci and software engineering are no less hard after the advent of LLMs.