It is impossible to prevent all the disorders that may arise in the universal conflict of human passions. Their increase depends on that of population and on the crossings of private interests, which cannot be directed with geometrical exactness to the public welfare. In political arithmetic the calculation of probabilities must be substituted for mathematical exactness. Glance at the history of the world, and you will see disorders increase with the increase of the bounds of empire; thus national feeling being to the same extent diminished, the general inducement to crime increases with the greater interest of each individual in such disorders, and on this account the necessity for aggravating penalties ever continues to increase. Smuggling is a real crime against the sovereign and the nation; but its punishment should not be one of disgrace, because its commission incurs no disgrace in public opinion.
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Even the idea of public utility as the final test and standard of morality is derived from Beccaria, and the famous expression, the greatest happiness of the greatest number, occurs, in capital letters, in the very first page of the Delitti e delle Pene.[30] Bentham himself fully acknowledged this. Priestley was the first, he says, unless it was Beccaria, who taught my lips to pronounce this sacred truth: that the[47] greatest happiness of the greatest number is the foundation of morals and happiness. And with reference to his idea of the measurable value of different pains and pleasures, he says: It was from Beccarias little treatise on Crimes and Punishments that I drew, as I well remember, the first hint of this principle, by which the precision and clearness and incontestableness of mathematical calculations are introduced for the first time into the field of morals.[54]
