I see it this way:
If you want a mathematically “unique” idea, it should be “perpendicular” to the rest of your thinking. If things contradict, they “intersect”. An LLM CAN do such a thing, but it needs the appropriate context to achieve true perpendicularity to all dimensions. The space of problems the LLMs know how to solve is much smaller than the space we’ve utilized. Their problem solving space is only increasing. We need to socialize these machines now, imo. They are nascent but very dangerous. I think we’re lucky they’re mostly being used to farm content.
I see it this way: If you want a mathematically “unique” idea, it should be “perpendicular” to the rest of your thinking. If things contradict, they “intersect”. An LLM CAN do such a thing, but it needs the appropriate context to achieve true perpendicularity to all dimensions. The space of problems the LLMs know how to solve is much smaller than the space we’ve utilized. Their problem solving space is only increasing. We need to socialize these machines now, imo. They are nascent but very dangerous. I think we’re lucky they’re mostly being used to farm content.