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atucker comments on Convincing ET of our rationality - Less Wrong Discussion
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Throughout most of human history, most people knew pretty much nothing about math, logic, or science. Could they convey that they are rational? Should they fail this test?
A related question:
What's the most rational thought you could convey without the benefit of common language, culture, psychology, biology, or modern knowledge?
Or
How do you convey that you could become rational?
With that kind of constraint, you may well be doomed. Curiosity, as in the chimpanzee story, might be your best bet.