The criminological importance of this “connection” lies in the fact that the correctness of our inferences depends upon its discovery. We work continuously with these two Humian propositions, and we always make our assertion, first, that some things are related as cause and effect, and we join the present case to that because we consider it similar. If it is really similar, and the connection of the first and the second proposition are actually correct, the truth of the inference is attained. We need not count the unexplained wonders of numerical relations in the result. D’Alembert asserts: “It seems as if there were some law of nature which more frequently prevents the occurrence of regular than irregular combinations; those of the first kind are mathematically, but not physically, more probable. When we see that high numbers are thrown with some one die, we are immediately inclined to call that die false.” And John Stuart Mill adds, that d’Alembert should have set the problem in the form of asking whether he would believe in the die if, after having examined it and found it right, somebody announced that ten sixes had been cast with it. We may go still further and assert that we are generally inclined to consider an inference wrong which indicates that accidental matters have occurred in regular numerical relation. Who believes the hunter’s story that he has shot 100 hares in the past week, or the gambler’s that he has won 1000 dollars; or the sick man’s, that he was sick ten times? It will be supposed at the very least that each is merely indicating an approximately round sum. Ninety-six hares, 987 dollars, and eleven illnesses will sound more probable. And this goes so far that during examinations, witnesses are shy of naming such “improbable ratios,” if they at all care to have their testimony believed. Then again, many judges are in no wise slow to jump at such a number and to demand an “accurate statement,” or even immediately to decide that the witness is talking only “about.” How deep-rooted such views are is indicated by the circumstance that bankers and other merchants of lottery tickets find that tickets with “pretty numbers” are difficult to sell. A ticket of series 1000, number 100 is altogether unsalable, for such a number “can not possibly be sold.” Then again, if one has to count up a column of accidental figures and the sum is 1000, the correctness of the sum is always doubted. Here are facts which are indubitable and unexplained. We must therefore agree neither to distrust so-called round numbers, nor to place particular reliance on quite irregular figures. Both should be examined.