 Alas, there is a catch. For even though there may be many hypotheses Hj that imply Hn+1 and, had they been formulated, would have been evaluated as being a better explanation for the data than the best explanation among the candidate explanations we started out with, Hn+1 itself will in general be hardly informative; in fact, in general it will not even be clear what its empirical consequences are. Suppose, for instance, we have as competing explanations Special Relativity Theory and Lorentz’s version of the æther theory. Then, following the above proposal, we may add to our candidate explanations that neither of these two theories is true. But surely this further hypothesis will be ranked quite low qua explanation—if it will be ranked at all, which seems doubtful, given that it is wholly unclear what its empirical consequences are. This is not to say that the suggested procedure may never work. The point is that in general it will give little assurance that the best explanation is among the candidate explanations we consider.