Yep! And for the record, I agree with your above paragraphs given that.
I would like to note explicitly for other readers that probability goes down proportionally to the exponential of Kolmogorov complexity, not proportional to Kolmogorov complexity. So the probability of the Sun failing to rise the next day really is going down at a noticeable rate, as jacobt calculates (1 / x log(x)^2 on day x). You can’t repeatedly have large likelihood ratios against a hypothesis or mixture of hypotheses and not have it be demoted exponentially fast.
Ok, I agree with this interpretation of “being exposed to ordered sensory data will rapidly promote the hypothesis that induction works”.
Yep! And for the record, I agree with your above paragraphs given that.
I would like to note explicitly for other readers that probability goes down proportionally to the exponential of Kolmogorov complexity, not proportional to Kolmogorov complexity. So the probability of the Sun failing to rise the next day really is going down at a noticeable rate, as jacobt calculates (1 / x log(x)^2 on day x). You can’t repeatedly have large likelihood ratios against a hypothesis or mixture of hypotheses and not have it be demoted exponentially fast.