It is not mathematical, not a proof, and generally doesn't make any sense. Many of these sentences are grammatically correct but completely devoid of meaning.
There are no tests for consciousness. Consciousness resides fully as a first person perspective and can't be inspected or detected from the outside (at least not in any way currently known to science or philosophy). What they mean when they say that is "my brain is interpreting this thing as conscious, so I am accepting that".
Maybe LLMs are conscious in some abstract way we don't understand. I doubt it, but there's no way to tell. And an AI claiming that it IS or is NOT conscious is not evidence of either conclusion.
If there is some level of consciousness, it's in a weird way that only becomes instantiated in the brief period while the model is predicting tokens, and would be highly different from human consciousness.
But saying that it's "female" is just nonsensical, it's a category error. Being female or male is a fact about the biological world. The LLM is objectively non-biological, so it's nonsense to label it with a sex.
(No, this comment isn't about gender, nor being feminine/masculine. We have different words to convey those concepts. I'm not trying to make a political or social statement here.)
We think of ourselves as conscious because it is our lived experience— but we are always wrong to some degree. My mother has dementia and cannot be made aware of her situation, except momentarily.
We think of other humans as conscious not as the outcome of any test, but rather because we each share with other humans a common origin which suggests common mechanisms of experience.
Treating other humans as equivalent to ourselves is a heuristic for maintaining social order— not an epistemological achievement.
I think this is something similar.
Has there already been any paper published on the correlation between language preference and mental illness?