Hedonic Calculus
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The felicific calculus is an
algorithm In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for performing ...
formulated by
utilitarian In ethical philosophy, utilitarianism is a family of normative ethical theories that prescribe actions that maximize happiness and well-being for all affected individuals. Although different varieties of utilitarianism admit different charac ...
philosopher
Jeremy Bentham Jeremy Bentham (; 15 February 1748 Old_Style_and_New_Style_dates">O.S._4_February_1747.html" ;"title="Old_Style_and_New_Style_dates.html" ;"title="nowiki/>Old Style and New Style dates">O.S. 4 February 1747">Old_Style_and_New_Style_dates.htm ...
(1747–1832) for calculating the degree or amount of pleasure that a specific action is likely to induce. Bentham, an
ethical Ethics or moral philosophy is a branch of philosophy that "involves systematizing, defending, and recommending concepts of right and wrong behavior".''Internet Encyclopedia of Philosophy'' The field of ethics, along with aesthetics, concerns ma ...
hedonist Hedonism refers to a family of theories, all of which have in common that pleasure plays a central role in them. ''Psychological'' or ''motivational hedonism'' claims that human behavior is determined by desires to increase pleasure and to decre ...
, believed the moral rightness or wrongness of an action to be a function of the amount of pleasure or pain that it produced. The felicific calculus could, in principle at least, determine the moral status of any considered act. The algorithm is also known as the utility calculus, the hedonistic calculus and the hedonic calculus. To be included in this calculation are several
variable Variable may refer to: * Variable (computer science), a symbolic name associated with a value and whose associated value may be changed * Variable (mathematics), a symbol that represents a quantity in a mathematical expression, as used in many ...
s (or
vector Vector most often refers to: *Euclidean vector, a quantity with a magnitude and a direction *Vector (epidemiology), an agent that carries and transmits an infectious pathogen into another living organism Vector may also refer to: Mathematic ...
s), which Bentham called "circumstances". These are: # Intensity: How strong is the pleasure? #
Duration Duration may refer to: * The amount of time elapsed between two events * Duration (music) – an amount of time or a particular time interval, often cited as one of the fundamental aspects of music * Duration (philosophy) – a theory of time and ...
: How long will the pleasure last (its magnitude is composed)? #
Certainty Certainty (also known as epistemic certainty or objective certainty) is the epistemic property of beliefs which a person has no rational grounds for doubting. One standard way of defining epistemic certainty is that a belief is certain if and o ...
or
uncertainty Uncertainty refers to epistemic situations involving imperfect or unknown information. It applies to predictions of future events, to physical measurements that are already made, or to the unknown. Uncertainty arises in partially observable ...
: How likely or unlikely is it that the pleasure will occur (its probability)? #
Propinquity In social psychology, propinquity (; from Latin ''propinquitas'', "nearness") is one of the main factors leading to interpersonal attraction. It refers to the physical or psychological proximity between people. Propinquity can mean physical prox ...
or remoteness: How soon will the pleasure occur (measured by its opposite)? #
Fecundity Fecundity is defined in two ways; in human demography, it is the potential for reproduction of a recorded population as opposed to a sole organism, while in population biology, it is considered similar to fertility, the natural capability to pr ...
: The probability that the action will be followed by sensations of the same kind (is measured from a pain). #
Purity Purity may refer to: Books * ''Pureza'' (novel), a 1937 Brazilian novel by José Lins do Rego * ''Purity'' (novel), a 2015 novel by Jonathan Franzen ** ''Purity'' (TV series), a TV series based on the novel *''Purity'', a 2012 novel by Jackson P ...
: The probability that it will not be followed by sensations of the opposite kind (from a pleasure). # Extent: How many people will be affected (for example the number of people)?


Bentham's instructions

To take an exact account of the general tendency of any act, by which the interests of a community are affected, proceed as follows. Begin with any one person of those whose interests seem most immediately to be affected by it: and take an account, * Of the value of each distinguishable pleasure which appears to be produced by it in the first instance. * Of the value of each pain which appears to be produced by it in the first instance. * Of the value of each pleasure which appears to be produced by it after the first. This constitutes the fecundity of the first pleasure and the impurity of the first pain. * Of the value of each pain which appears to be produced by it after the first. This constitutes the fecundity of the first pain, and the impurity of the first pleasure. * Sum up all the values of all the pleasures on the one side, and those of all the pains on the other. The balance, if it be on the side of pleasure, will give the good tendency of the act upon the whole, with respect to the interests of that individual person; if on the side of pain, the bad tendency of it upon the whole. * Take an account of the number of persons whose interests appear to be concerned; and repeat the above process with respect to each. Sum up the numbers expressive of the degrees of good tendency, which the act has, with respect to each individual, in regard to whom the tendency of it is good upon the whole. Do this again with respect to each individual, in regard to whom the tendency of it is bad upon the whole. Take the balance which if on the side of pleasure, will give the general good tendency of the act, with respect to the total number or community of individuals concerned; if on the side of pain, the general evil tendency, with respect to the same community. To make his proposal easier to remember, Bentham devised what he called a "
mnemonic A mnemonic ( ) device, or memory device, is any learning technique that aids information retention or retrieval (remembering) in the human memory for better understanding. Mnemonics make use of elaborative encoding, retrieval cues, and imag ...
doggerel Doggerel, or doggrel, is poetry that is irregular in rhythm and in rhyme, often deliberately for burlesque or comic effect. Alternatively, it can mean verse which has a monotonous rhythm, easy rhyme, and cheap or trivial meaning. The word is deri ...
" (also referred to as "memoriter verses"), which synthesized "the whole fabric of morals and legislation":
Intense, long, certain, speedy, fruitful, pure—
Such marks in pleasures and in pains endure.
Such pleasures seek if private be thy end:
If it be public, wide let them extend
Such pains avoid, whichever be thy view:
If pains must come, let them extend to few.


Note

Based on the first volume of his complete works there is four deriving classification:
Security" \n\n\nsecurity.txt is a proposed standard for websites' security information that is meant to allow security researchers to easily report security vulnerabilities. The standard prescribes a text file called \"security.txt\" in the well known locat ...
,
Subsistence A subsistence economy is an economy directed to basic subsistence (the provision of food, clothing, shelter) rather than to the market. Henceforth, "subsistence" is understood as supporting oneself at a minimum level. Often, the subsistence econo ...
, Abundance,
Equality Equality may refer to: Society * Political equality, in which all members of a society are of equal standing ** Consociationalism, in which an ethnically, religiously, or linguistically divided state functions by cooperation of each group's elit ...
. There is also four sanctions that he defined, they are: Physical,
Political Politics (from , ) is the set of activities that are associated with making decisions in groups, or other forms of power relations among individuals, such as the distribution of resources or status. The branch of social science that stud ...
, Moral (this is as a result social or legal and can lead to
popular Popularity or social status is the quality of being well liked, admired or well known to a particular group. Popular may also refer to: In sociology * Popular culture * Popular fiction * Popular music * Popular science * Populace, the total ...
sanction), and
Religious Religion is usually defined as a social- cultural system of designated behaviors and practices, morals, beliefs, worldviews, texts, sanctified places, prophecies, ethics, or organizations, that generally relates humanity to supernatur ...
. Further he base a pleasure or a pain, or of benefit and mischief, that is in method applied by knowing more of it from those seven above mentioned references that are after to apply it to a respective purpose, else it is blindfolded.


Hedons and dolors

The
units of measurements A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multi ...
used in the felicific calculus may be termed ''hedons'' and ''dolors''.San Diego University – Glossary
by Lawrence M. Hinman


See also

*
Act utilitarianism Act utilitarianism is a utilitarian theory of ethics that states that a person's act is morally right if and only if it produces the best possible results in that specific situation. Classical utilitarians, including Jeremy Bentham, John Stuar ...
*
Bellman equation A Bellman equation, named after Richard E. Bellman, is a necessary condition for optimality associated with the mathematical optimization method known as dynamic programming. It writes the "value" of a decision problem at a certain point in time ...
* Ethical calculus *
Reinforcement learning Reinforcement learning (RL) is an area of machine learning concerned with how intelligent agents ought to take actions in an environment in order to maximize the notion of cumulative reward. Reinforcement learning is one of three basic machine ...
*
Science of morality The science of morality may refer to various forms of ethical naturalism grounding morality in rational, empirical consideration of the natural world. It is sometimes framed as using the scientific approach to determine what is right and wrong, i ...
* Utilitarian social choice rule - a mathematical formula for felicific calculus.


References

{{DEFAULTSORT:Felicific Calculus Utilitarianism Hedonism Pleasure