Ockham's Razor is suggestive, not conclusive. It is most useful in choosing between two hypotheses where one is a subset of the other. If hypothesis A complet

Ockham's Razor is suggestive, not conclusive. It is most useful in choosing between two hypotheses where one is a subset of the other. If hypothesis A completely explains the data, and hypothesis A+ completely explains the data but includes extra axioms, Ockham prefers A over A+. One simplified argument that can be made is that A+ has a higher probability of containing wrongness, since it contains any wrongness that is in A plus any additional wrongness contained in +. When choosing between two disjoint hypotheses, A and B, both of which completely explain the data, Ockham's Razor is significantly less useful. Whichever of A and B is longer has more places it can be wrong, but the probabilities of wrongness in any particular place are uncorrelated between A and B. Ockham (or Kolmogorov Complexity or whatever form of the argument you like) suggests a preference for the simpler of A and B, but it is not a very strong suggestion.