“the theory seems to predict that possible (evidence-compatible) events or states in the universe will occur in exact or fairly exact proportion to their relative complexities as measured in bits [...] if I am predicting between 2 (evidence-compatible) possibilities, and one is twice as information-complex as the other, then it should actually occur 1⁄3 of the time”
then replied
“Let’s suppose that there are two hypotheses H1 and H2, each of them predicting exactly the same events, except that H2 is one bit longer and therefore half as likely as H1. Okay, so there is no evidence to distinguish between them. Whatever happens, we either reject both hypotheses, or we keep their ratio at 1:2.”
I am afraid I may have stated this unclearly at first. I meant, given 2 hypotheses that are both compatible with all currently-known evidence, but which predict different outcomes on a future event.
You quoted me
“the theory seems to predict that possible (evidence-compatible) events or states in the universe will occur in exact or fairly exact proportion to their relative complexities as measured in bits [...] if I am predicting between 2 (evidence-compatible) possibilities, and one is twice as information-complex as the other, then it should actually occur 1⁄3 of the time”
then replied
“Let’s suppose that there are two hypotheses H1 and H2, each of them predicting exactly the same events, except that H2 is one bit longer and therefore half as likely as H1. Okay, so there is no evidence to distinguish between them. Whatever happens, we either reject both hypotheses, or we keep their ratio at 1:2.”
I am afraid I may have stated this unclearly at first. I meant, given 2 hypotheses that are both compatible with all currently-known evidence, but which predict different outcomes on a future event.