I’m not sure if this appeared in the Sequences or not, but there’s a purely logical argument that simpler hypotheses must be more likely. For any level of complexity, there are finitely many hypotheses that are simpler than that, and infinitely many that are more complex. You can use this to prove that any probability distribution must be biased towards simpler hypotheses
Yes, but that doesn’t tell you that:-
you have a unique way of picking out the simplest hypothesis. The standard intuition is there is a single truth, but there are multiple ways of defining simplicity.
you are picking it out of the total.hypothesis space , ie. the hypotheses.you are considering add up to one, in an absolute sense. Solomonoff Induction is limited to computable universes, for instance.
Yes, but that doesn’t tell you that:-
you have a unique way of picking out the simplest hypothesis. The standard intuition is there is a single truth, but there are multiple ways of defining simplicity.
you are picking it out of the total.hypothesis space , ie. the hypotheses.you are considering add up to one, in an absolute sense. Solomonoff Induction is limited to computable universes, for instance.