But why does dealing with intelligent design increase your probability in the alternative? Why were you assigning weight to intelligent design?
Not much—it increased slightly when I saw it proposed, and decreased precipitously when I saw it refuted.
This isn’t meant to be nitpicky. I suppose the question behind the question is this: When dividing up probability mass for X, how do you allot P(~X)? Do you try divvying it up amongst competing theories or do you simply assign it to ~X?
Well, it has to be divvied up. It’s just that there are so many theories encompassed in ~X that it is not easy to calculate the contribution to any specific theory except when the network is pretty clear already.
The sum of your probabilities must add to 1. If you reduce the probability assigned to one theory, the freed probability mass must flow into other theories to preserve the sum.
But why are we assigning probability across a spectrum of competing theories? I thought we were supposed to be assigning probability to the theories themselves.
In other words, P(X) is my best guess at X being true. P(Y) is my best guess at Y being true. In the case of two complex theories trying to explain a particular phenomenon, why does P(X) + P(Y) + P(other theories) need to equal 1?
Or am I thinking of theories that are too complex? Are you thinking of X and Y as irreducible and mutually exclusive objects?
Or am I thinking of theories that are too complex? Are you thinking of X and Y as irreducible and mutually exclusive objects?
...yes? It’s not a matter of complexity, though; the problem you might be alluding to is that the groups of theories we describe when we enunciate our thoughts can overlap.
Not much—it increased slightly when I saw it proposed, and decreased precipitously when I saw it refuted.
Well, it has to be divvied up. It’s just that there are so many theories encompassed in ~X that it is not easy to calculate the contribution to any specific theory except when the network is pretty clear already.
Not to be a chore, but can you explain why?
The sum of your probabilities must add to 1. If you reduce the probability assigned to one theory, the freed probability mass must flow into other theories to preserve the sum.
But why are we assigning probability across a spectrum of competing theories? I thought we were supposed to be assigning probability to the theories themselves.
In other words, P(X) is my best guess at X being true. P(Y) is my best guess at Y being true. In the case of two complex theories trying to explain a particular phenomenon, why does P(X) + P(Y) + P(other theories) need to equal 1?
Or am I thinking of theories that are too complex? Are you thinking of X and Y as irreducible and mutually exclusive objects?
...yes? It’s not a matter of complexity, though; the problem you might be alluding to is that the groups of theories we describe when we enunciate our thoughts can overlap.