"If we had all things in the universe available and sufficiently defined to tell what is one thing and what is another, and we found that there are indeed no non-black ravens, that would still leave open the question of whether there could possibly be non-black ravens in the future."
That's not a bug in Bayesian inference, that's a feature! It would be a mistake to ever assign a probability of 0.0 or 1.0 to any statement. It means you have infinite confidence in the statement, which is impossible unless you have a screwy prior distribution.
You also don't have to evaluate all of the data if you're giving a probability. You can just report your degree of confidence in the proposition based on the data you've evaluated so far, and this degree of confidence is called a probability.
I know the whole point of Bayesian statistics is that you actually need much less data to get a good prediction. But the edge case I was talking about is still interesting I think, if not as a criticism of Bayes.
That's not a bug in Bayesian inference, that's a feature! It would be a mistake to ever assign a probability of 0.0 or 1.0 to any statement. It means you have infinite confidence in the statement, which is impossible unless you have a screwy prior distribution.
You also don't have to evaluate all of the data if you're giving a probability. You can just report your degree of confidence in the proposition based on the data you've evaluated so far, and this degree of confidence is called a probability.