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In my opinion a major weakness in how people reason about this issue is that they describe solving problems as EITHER recall of an existing solution OR creative problem solving. Sure it is possible for a specific solution to be recalled, but it's not possible for a problem to be absolutely unrelated to anything the system has ever seen before and still be solvable. There are many shades of gray in the similarity a pr…
The difference is that humans don't memorize petabytes of problems, so from a relative perspective people are constantly solving novel problems they never saw before. I'm thinking this is a requirement for dynamic, few-shot learning. We can clearly see LLMs fail when you throw even a small wrench in the prompt.
I’m not sure what your basis is for saying “LLMs fail if there is a small wrench in the prompt.” They also succeed despite wrenches in the prompt with great regularity.