rocho
Joined 11 years ago
Joined 11 years ago
Math is very similar, and requires an even higher degree of mental understanding to produce advancements. The effort spent trying to prove theorems and connect theories pays off in deep intuition; removing that struggle significantly impairs our understanding.
So no, you can't "be done with that, and go do other great work" without paying the understanding tax. And over time that's just not sustainable.
A simpler analogy would be gym training: the effort expenditure and the strength gains are inextricably linked. You can't go in there and start lifting weights with a forklift while expecting strength improvements.
In the case of software development, businesses have decided that speed gains are more important than maintainability, understanding, and independence. Will the same happen in math? The future in which mathematicians become LLM assistants (as opposed to LLM-assisted) and spend their days "turning the crank" just to review what comes out is quite bleak.
I wonder if it'd be possible to train an LLM with such architecture: one input for the instructions/conversation and one "data-only" input. Training would ensure that the latter isn't interpreted as instructions, although I'm not knowledgeable enough to understand if that's even theoretically possible: even if the inputs are initially separate, they eventually mix in the neural network. However, I imagine that training could be done with massive amounts of prompt injections in the "data-only" input to penalize execution of those instructions.
However, I heavily use Gemini in my daily work and I think it has its own place. Ultimately, I don't see the point of choosing the one "best" model for everything, but I'd rather use what's best for any given task.
I've set up IMAP syncing with my main Gmail so that it also acts as a backup. Eventually I'll ditch my Gmail for good, but sadly I'm not there yet.