TL;DR: To do induction, you need to calculate P(Hypothesis, given Observation). By Bayes,
=\frac{P(O%7CH)P(H)}{P(O)})
But how do we calculate
=P(\mbox{Observation,%20given%20Hypothesis}))? How do we go from hypotheses to predicted observations, given that actual observations made by an agent are not internal features of a hypotheses, but rather are data coming from a totally different part of the agent?
(Edit: But seriously, read the post, it is awesome.)
TL;DR: To do induction, you need to calculate P(Hypothesis, given Observation). By Bayes,
=\frac{P(O%7CH)P(H)}{P(O)})But how do we calculate
=P(\mbox{Observation,%20given%20Hypothesis}))? How do we go from hypotheses to predicted observations, given that actual observations made by an agent are not internal features of a hypotheses, but rather are data coming from a totally different part of the agent?(Edit: But seriously, read the post, it is awesome.)