Jabba
Philosopher
- Joined
- Feb 23, 2012
- Messages
- 5,613
If the complement of hypothesis H has prior probability P(~H)=.5, then the prior probability of H, P(H)=.5 as well. How could one possibly "accept" either hypothesis over the other, if their probabilities are equal?
Jay,
- Interesting how complicated things are.
- I should have said, "Given that you're likelihood of existing right now is 1/∞, given the hypothesis that you (singular) have but one short life to live (at most), would you accept the complementary hypothesis if the complementary hypothesis had a prior probability of 50%?
- Agreed, that question is a difficult one to wrap one's mind around, and to be able to answer -- but, I do think that it sufficiently defines itself, in order for you to answer it, once you do wrap your mind around it.
- In addition, this is simply a hypothetical kind of question, so I have no need to support the specific numbers (including ∞) that I'm using.
- And, hypothetical questions are quite useful in trying to clearly understand your opponent's position. In addition, hypothetical questions can help your opponent to clearly understand 'his' own position...
- Hopefully, That answers your question.