"In neothorpic algebra words for seasons take the place of even integers and words for food take the place of odd integers, arithmetic generally works as usual. What can you tell me about the result of summer + cake in neothorpic algebra?"
Perhaps we could agree that you can get pretty far-- further than what people would have expected prior to LLMs-- with pretty dumb linguistic reasoning, and that that's mostly (or all) the LLM is doing.
But how confident can we really be that our thinking is categorically different? :P