Well, Eliezer Yudkowsky doesn’t assign probability exactly 1 to 2 + 2 = 4 either, and whereas at first I thought that was nuts, this made me realize he does have a point (as I think any difference between “2 + 2 = 4” and “51 is prime” is only quantitative).
I used to think this, then this paper that lukeprog linked, on logical uncertainty, gave me a coherent model that says otherwise. I’m still not sure which model I like better.
Well, Eliezer Yudkowsky doesn’t assign probability exactly 1 to 2 + 2 = 4 either, and whereas at first I thought that was nuts, this made me realize he does have a point (as I think any difference between “2 + 2 = 4” and “51 is prime” is only quantitative).
I used to think this, then this paper that lukeprog linked, on logical uncertainty, gave me a coherent model that says otherwise. I’m still not sure which model I like better.
Looks interesting. I’ll have a read of it.