Because every hypothesis that isn't H will imply its own likelihoods for individual people existing.
Dave,
- I think that the following answers your objection-- I've corrected(?) for a previous mistake...
9.1. Re P(E|~H):
9.1.1. The probability (“likelihood”) of E given ~H, involves several specific hypothetical possibilities.
9.1.1.1. That only some of us have but one finite life.
9.1.1.2. That we each have numerous finite lives.
9.1.1.3. That only some of us have numerous finite lives.
9.1.1.4. That we each have an infinity of finite lives.
9.1.1.5. That only some of us have an infinity of finite lives.
9.1.1.6. That we each have an infinite life.
9.1.1.7. That only some of us have an infinite life.
9.1.1.8. That time isn’t what we think it is (to be explained).
9.1.1.9. Some other explanation.
9.1.2. Now I must estimate (roughly) the prior probability (rounded off to 3 decimal places) of each more specific possibility (hypothesis), given ~H.
9.1.2.1. That only some of us have but one finite life: .000
9.1.2.2. That we each have numerous finite lives: .200.
9.1.2.3. That only some of us have numerous finite lives: .000
9.1.2.4. That we each have an infinity of finite lives; .200
9.1.2.5. That only some of us have an infinity of finite lives: .000
9.1.2.6. That we each have an infinite life: .200.
9.1.2.7. That only some of us have an infinite life: .000
9.1.2.8. That time isn’t what we think it is (to be explained): .200
9.1.2.9. Some other explanation: .200
9.1.3. And now, I must estimate the likelihood of my own current existence given the different specific hypotheses under ~H.
9.1.3.1. That only some of us have but one finite life: .10.
9.1.3.2. That we each have numerous finite lives: .10.
9.1.3.3. That only some of us have numerous finite lives: .25.
9.1.3.4. That we each have an infinity of finite lives; 1.00
9.1.3.5. That only some of us have an infinity of finite lives: .50.
9.1.3.6. That we each have an infinite life: 1.00
9.1.3.7. That only some of us have an infinite life: .50
9.1.3.8. That time isn’t what we think it is (to be explained): .50
9.1.3.9. Some other explanation: .50
9.1.4. And now, I must multiply each of the probabilities of ~H above by the likelihoods of my current existence, given each specific hypothesis, and add up their products. And, the total likelihood of my current existence given ~H:
9.1.4.1. P(E|~H) = (0*.5) + (.2*.10) + (0*.25) + (.2*1.0) + (0*.5) + (1*.2) + (0*.5) + (.2*.5) + (.2*.5), or
9.1.4.2. P(E|~H) = 0 + .02 + 0 +.2 + 0 + .2 + 0 + .1 + .1, or
9.1.4.3. P(E|~H) = .62. And,
9.1.5. P(H|E) = 0*.99/(0*.99 + .62*.01) = (0/.0062) = 0.
9.1.6. P(H|E) = 0.
- IOW, given my current existence, the posterior probability that I will have one, finite life is (effectively) zero…
- I think that I got the numbers right this time.