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These faux questions always have a valid interpretation that the asker doesn't admit (for some reason). The model is then castigated for not making an opinionated choice
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That’s not what’s happening.

The question is revealing that the model has a model of language but not of reality. It knows what words go together, but not real-world concepts.

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This. LLMs are marketed on the false premise of all knowledge, intelligence and wisdom being possible to be encoded in language only.
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As a test, explaining away peculiar answers by imagining unlikely outlier scenarios is not the counter you seem to think it is.

For most of them, we’d worry that a human answerer using maximum effort to produce the same outcome was having a stroke.

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maybe unreasoning.

also, naysayers apparently DO have a compelling reason.

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