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If you're willing to torture the analogy you can find a way to describe literally anything as a system of outputs based on inputs. In the case of the brain to LLM comparison, people are inclined to do it because they're eager to anthropomorophize something that produces text they can interpret as a speaker, but it's totally incorrect to suggest that our brains are "essentially the same thing" as LLMs. The comparison is specious even on a surface level. It's like saying that birds and planes are "essentially the same thing" because flight was achieved by modeling planes after birds.