> integrate over the entire space of hypothesis instances, using an infinitesimal weighting in the case of infinite spaces. Agreed. However, when you write:

> integrate over the entire space of hypothesis instances, using an infinitesimal weighting in the case of infinite spaces. Agreed. However, when you write: > the evidence makes the uncomputable partial Oracle the most likely hypothesis, since the space of uncomputable partial oracles is much much larger you seem to argue that a hypothesis is more likely because it represents a larger (indeed infinite) space of sub-hypotheses. Reasoning from the cardinality of a set of hypotheses to a degree of belief in the set would in general seem to be unsound.