Can you walk me through where this error arises? Suppose I have a function whose arguments are the elements of a set S, whose values are real numbers between 0 and 1, and whose values sum to 1. Is the idea that if I treat anything in the physical world other than objects’ or events’ memberships in physical sequences of events or heaps of objects as modeling such a set, the conclusions I draw will be useless noise? Or is there something about the word ‘probability’ that makes special errors occur independently of the formal features of sample spaces?
Can you walk me through where this error arises? Suppose I have a function whose arguments are the elements of a set S, whose values are real numbers between 0 and 1, and whose values sum to 1. Is the idea that if I treat anything in the physical world other than objects’ or events’ memberships in physical sequences of events or heaps of objects as modeling such a set, the conclusions I draw will be useless noise? Or is there something about the word ‘probability’ that makes special errors occur independently of the formal features of sample spaces?
As best I can parse the question, I think the former option better describes the position.