&gt; The Bayesian approach is to assign a prior distribution to various theories of this nature. Because there are infinitely many possible priors, most exceedingly complicated (because the set of priors of complexity &lt; C is finite or at least compact), we&#x27;ll need to (eventually) assign low probabilities to high complexity ones. This gives a natural derivation of occams razor as well, at least as an asymptotic law.<p>I don&#x27;t think this would be a very compelling argument for Occam&#x27;s razor if you didn&#x27;t already believe it. This argument says you can&#x27;t assign high probability to all &quot;complex&quot; theories, but it doesn&#x27;t seem to say that the high probability theories must be simple. You could use any criterion at all to single out a high probability subset.