This is one of your wisest observations yet
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did you see that article? did you get my email? have you watched it yet?
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A great convoluted game of broken telephone
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Secure scuttlebutt almost implements this. You see messages from 2 hops out. Friends of friends but no further https://www.scuttlebutt.nz/
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Asymptotically
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All of human history until... what, 1650?
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Not quite. Villages were coherent communities with common knowledge broadcast bubbles (churches and town criers in Europe). Now little of significance, relatively speaking, happens at village-CK level.
End of conversation
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You can't ever be sure that someone knows X unless they tell you directly. Depending on definitions, you can't be sure they "know" X even if you tell them. May sound nitpicky, but really don't understand what you mean. "no public record for groups >2" Is technology enabling this?
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This is why we are all well versed in web-of-trust style public key signing, right?


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