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> they can't solve math problems

> I never believed they were anything other than hallucinations

I mean, dogs can't do math either, yet they are real.

I'm not necessarily arguing for the independent reality of the entities, I'm just saying that's not a super-conclusive test.

I think people generally perceive these entities as being advanced and hyper intelligent, hence the math question.

But yeah, still not conclusive either way (but the most likely answer is still that they're constructions of your own mind).

maybe they are so hyper-intelligent that they let their subconscious handle the math problems

Just to be pedantic, dogs can count (probably, or something akin to it).

But they can't look up