@Wei: *p(n) will approach arbitrarily close to 0 as you increase n.*

This doesn’t seem right. A sequence that requires knowledge of BB(k), has O(2^-k) probability according to our Solomonoff Inductor. If the inductor compares a BB(k)-based model with a BB(k+1)-based model, then BB(k+1) will on average be about half as probable as BB(k).

In other words, P(a *particular* model of K-complexity k is correct) goes to 0 as k goes to infinity, but the conditional probability, P(a *particular* model of K-complexity k is correct | a sub-model of that particular model with K-complexity k-1 is correct), does not go to 0 as k goes to infinity.

One possibility, given my (probably wrong) interpretation of the ground rules of the fictional universe, is that the humans go to the baby-eaters and tell them that they’re being invaded. Since we cooperated with them, the baby-eaters might continue to cooperate with us, by agreeing to:

1. reduce their baby-eating activities, and/or

2. send their own baby-eaters ship to blow up the star (since the fictional characters are probably barred by the author from reducing the dilemma by blowing up Huygens or sending a probe ship), so that the humans don’t have to sacrifice themselves.