Ah, well. In my experience, there are a lot of people who (a) acknowledge baseline universal uncertainty, but (b) accept the theory of common knowledge, and even the idea that Two Generals is a hard or insoluble problem. So I think a lot of people haven’t noticed the contradiction, or at least haven’t propagated it very far.[1]
Presumably whatever axioms the anti-sceptic philosophers use to avoid infinite recursion in any knowledge apply here too.
Based on how this comment section is going, I am updating toward “haven’t propagated it very far”; it seems like maybe a lot of people know somewhere in the back of their minds that common knowledge can’t be literally occurring, but have half-developed hand-wavy theories about why they can go on using the theory as if it applies.
Ah, well. In my experience, there are a lot of people who (a) acknowledge baseline universal uncertainty, but (b) accept the theory of common knowledge, and even the idea that Two Generals is a hard or insoluble problem. So I think a lot of people haven’t noticed the contradiction, or at least haven’t propagated it very far.[1]
Not sure what you mean here.
Based on how this comment section is going, I am updating toward “haven’t propagated it very far”; it seems like maybe a lot of people know somewhere in the back of their minds that common knowledge can’t be literally occurring, but have half-developed hand-wavy theories about why they can go on using the theory as if it applies.