What follows, relative to the subject of punishment, ought regularly to be preceded by a distinct chapter on the ends of punishment. But having little to say on that particular branch of the subject, which has not been said before, it seemed better, in a work which will at any rate be but too voluminous, to omit this title, reserving it for another, hereafter to be published, intituled The Theory of Punishment. To the same work I must refer the analysis of the several possible modes of punishment, a particular and minute examination of the nature of each, and of its advantages and disadvantages, and various other disquisitions, which did not seem absolutely necessary to be inserted here. A very few words, however, concerning the ends of punishment, can scarcely be dispensed with.
The immediate principal end of punishment is to control action. This action is either that of the offender, or of others: that of the offender it controls by its influence, either on his will, in which case it is said to operate in the way of reformation; or on his physical power, in which case it is said to operate by disablement: that of others it can influence otherwise than by its influence over their wills, in which ease it is said to operate in the way of example. A kind of collateral end, which it has a natural tendency to answer, is that of affording a pleasure or satisfaction to the party injured, where there is one, and, in general, to parties whose ill-will whether on a self-regarding account, or on the account of sympathy or antipathy, has been excited by the offense.. This purpose, as far as it can be answered gratis, is a beneficial one. But no punishment ought to be allotted merely to this purpose, because (setting aside its effects in the way of control) no such pleasure is ever produced by punishment as can be equivalent to the pain. The punishment, however, which is allotted to the other purpose, ought, as far as it can be done without expense, to be accommodated to this. Satisfaction thus administered to a party injured, in the shape of a dissocial pleasure, may be styled a vindictive satisfaction or compensation: as a compensation, administered in the shape of self-regarding profit, or stock of pleasure, may be styled a lucrative one. See B. I. tit. vi. [Compensation]. Example is the most important end of all, in proportion as the number of the persons under temptation to offend is to one.
IPML Chapter 13 Section 1