Bentham and the Utilitarian Calculus
Chapter Twenty-Five
Syllabus topic 2, "Criminology From - Ancient to Modern thought"
Pages 82 to 85 of 528
In one line
Bentham turned Beccaria's principles into an engineering problem: measure the pleasure of the offence, calculate the pain needed to outweigh it, and inflict exactly that much and no more.
In the wording a student can write in an exam: Jeremy Bentham founded utilitarianism on the principle that the object of all legislation is the greatest happiness of the greatest number; his felicific calculus measures pleasures and pains by intensity, duration, certainty, propinquity, fecundity, purity and extent; and his rules of punishment require that the mischief of the punishment always exceed the profit of the offence.
The principle
Bentham's starting point is a psychological claim and a moral one in the same sentence. Nature has placed mankind under the governance of two sovereign masters, pain and pleasure; they determine what we shall do and they point out what we ought to do. Conduct is right in proportion as it tends to produce happiness.
From this, punishment is a problem in arithmetic. Punishment is itself an evil, because it inflicts pain. It is justified only where it excludes some greater evil. It follows that punishment ought not to be inflicted where it is groundless, where there is no mischief to prevent; where it is inefficacious, where it cannot act on the will, as with an infant or a person who did not know the law was broken; where it is unprofitable, where the harm of the punishment exceeds the harm of the offence; or where it is needless, where the mischief can be prevented at a cheaper rate.
Those four categories are worth memorising. They are still the sharpest test available for asking whether a criminal prohibition is worth having, and they map exactly onto the tests for criminalisation set out earlier in this book.
The felicific calculus
Bentham's attempt to make the measurement precise. A pleasure or pain is valued by seven dimensions:
- Intensity, how strong it is.
- Duration, how long it lasts.
- Certainty, how likely it is to follow.
- Propinquity, how soon it follows.
- Fecundity, its tendency to be followed by more of the same kind.
- Purity, its tendency not to be followed by the opposite kind.
- Extent, the number of persons affected.
Applied to punishment, dimensions three and four restate Beccaria's certainty and swiftness in a formal frame, and that is the connection an answer should make.
The rules of proportion
Bentham derived thirteen rules; four are enough for an examination.
The value of the punishment must not be less than what is sufficient to outweigh the profit of the offence. If it is, the offence is worth committing.
The greater the mischief of the offence, the greater the expense it is worth incurring by way of punishment.
Bentham and the Utilitarian Calculus
Where two offences come in competition, the punishment for the greater must be sufficient to induce a man to prefer the less. A famous and practical rule: if robbery and murder carry the same penalty, the robber has no reason to spare his victim.
The punishment ought in no case to be more than what is necessary to bring it into conformity with the rules above.
The influence on Indian law
This is the paragraph that makes the chapter more than a European history lesson.
The Indian Penal Code 1860 was drafted by a commission under Thomas Babington Macaulay, who was a utilitarian and worked in close intellectual contact with Bentham's followers. Three features of the Code are directly Benthamite.
Codification itself. Bentham coined the word and campaigned for the replacement of judge-made law by a complete written code, so that every subject could know the law in advance. The Penal Code was the largest realisation of that programme anywhere in the world.
Definition and illustration. The Code defines each offence and then illustrates it, which is Bentham's method for making a law intelligible to those who must obey it.
Graded punishment. Offences are arranged with maxima that rise with the harm done, which is the second and third rules of proportion applied.
The Bharatiya Nyaya Sanhita 2023 carries all three features forward, so the structure an Indian student meets today is still recognisably the utilitarian one.
Criticism
Pleasure and pain cannot actually be measured. The calculus is a metaphor dressed as arithmetic, and no one has ever applied it numerically.
It permits punishing the innocent. If the aggregate happiness would be increased by convicting a person known to be innocent, the theory as stated supplies no objection. This is the standard and serious charge, and the usual reply, that a practice of convicting the innocent would in the long run reduce happiness, is a reply about rules rather than about acts.
It ignores desert. A theory that looks only forward to consequences cannot explain why a punishment should be limited by what the offender deserves.
And the panopticon. Bentham's design for a prison in which every inmate can be observed at all times without knowing when he is watched is his most famous practical proposal, and it has become the standard image of surveillance as a form of power. It shows the direction in which a purely utilitarian penology runs when nothing limits it.
A worked example
A city has a problem with ticketless travel on suburban trains. The fare is thirty rupees, the chance of being checked is one in forty, and the present penalty is a fine of five hundred rupees.
Bentham and the Utilitarian Calculus
Apply the first rule of proportion. The expected cost of travelling ticketless is one fortieth of five hundred, which is twelve rupees and fifty paise, against a saving of thirty. The punishment is less than sufficient to outweigh the profit, so on Bentham's analysis the offence is worth committing and the rational traveller commits it.
Two ways to fix it. Raise the penalty to above one thousand two hundred rupees, or raise the chance of being checked. Bentham's own preference, and Beccaria's, is the second, because certainty acts on the will more reliably than a distant possibility of a large fine, and because a very large fine on a poor traveller is unprofitable punishment in his sense: it does more harm than the offence.
Now apply the competition rule. Suppose the penalty for ticketless travel were the same as for assaulting a ticket examiner. A traveller caught without a ticket would then have nothing to lose by assaulting the examiner and running. The rule requires that the graver offence carry the heavier penalty precisely so that the offender is given a reason to stop at the lesser.
And apply the four categories. Is the punishment groundless? No, there is a real loss. Inefficacious? No. Unprofitable? A fine of five thousand rupees on a daily wage earner would be. Needless? Partly: automated fare gates prevent the mischief at a cheaper rate, and Bentham would prefer them to any penalty.
Quick revision
- Jeremy Bentham: the greatest happiness of the greatest number; punishment is itself an evil and is justified only to exclude a greater evil.
- Punishment must not be inflicted where it is groundless, inefficacious, unprofitable or needless.
- The felicific calculus: intensity, duration, certainty, propinquity, fecundity, purity, extent.
- Rules of proportion: punishment must outweigh the profit of the offence; greater mischief warrants greater expense; the graver of two competing offences must carry the heavier penalty so the offender prefers the lesser; and punishment must never exceed necessity.
- Indian influence: codification, definition with illustrations, and graded maxima, all carried into the Sanhita.
- Criticism: pleasure and pain are not measurable; the theory as stated permits punishing the innocent; it has no place for desert; and the panopticon shows where an unlimited utilitarian penology leads.
Test yourself
1. State Bentham's four cases in which punishment ought not to be inflicted. Where it is groundless, there being no mischief to prevent; where it is inefficacious, because it cannot act on the will, as with an infant or a person who could not have known; where it is unprofitable, because the pain of the punishment exceeds the harm of the offence; and where it is needless, because the mischief can be prevented at a cheaper rate by other means.
Bentham and the Utilitarian Calculus
2. What is the competition rule and why does it matter? That where two offences come into competition the punishment for the greater must be sufficient to induce the offender to prefer the lesser. It matters because a penal scheme that punishes robbery and murder alike gives the robber no reason to spare his victim, so the grading of maxima is not merely a matter of desert but a device for limiting harm.
3. Name three features of Indian penal legislation that are directly Benthamite. Codification itself, the replacement of judge-made criminal law by a complete written code knowable in advance; the technique of defining each offence and following the definition with illustrations; and the arrangement of offences with maximum punishments graded by the harm caused. All three survive in the Bharatiya Nyaya Sanhita 2023.
The rest of this subject
These notes are cut from the University's printed syllabus. Open the syllabus itself, or the past papers, for the same subject.