Suppose that someone chose the chord, generated random numbers uniformly in , then told us that such numbers are less than the radius chosen. How well will we be able to identify the radius, if I had a prior that it was chosen via Method 1, you had a prior that it was chosen via Method 2, Sam had the prior that it was chosen via Method 3?
Sure, within a fixed framework, we get convergence, even when using different methods. But this is possible because concepts like “the radius of the chord” are already agreed on. The paradox isn’t about not knowing which method generated the chord, it’s that the question itself is underspecified and can’t be fixed without making a choice (introducing contingency) because we lack access to a view from nowhere to adjudicate it.
Suppose that someone chose the chord, generated
Answer: we ALL will be able to identify it as
Sure, within a fixed framework, we get convergence, even when using different methods. But this is possible because concepts like “the radius of the chord” are already agreed on. The paradox isn’t about not knowing which method generated the chord, it’s that the question itself is underspecified and can’t be fixed without making a choice (introducing contingency) because we lack access to a view from nowhere to adjudicate it.