Jeremy Bentham in the context of "Deontology"

John Stuart Mill (20 May 1806 – 7 May 1873) was an English philosopher, political economist, politician and civil servant. One of the most influential thinkers in the history of liberalism and social liberalism, he contributed widely to social theory, political theory, and political economy. Dubbed "the most influential English-speaking philosopher of the nineteenth century" by the Stanford Encyclopedia of Philosophy, he conceived of liberty as justifying the freedom of the individual in opposition to unlimited state and social control. He advocated political and social reforms such as proportional representation, the emancipation of women, and the development of labour organisations and farm cooperatives.

The Columbia Encyclopedia describes Mill as occasionally coming "close to socialism, a theory repugnant to his predecessors". He was a proponent of utilitarianism, an ethical theory developed by his predecessor Jeremy Bentham. He contributed to the investigation of scientific methodology, though his knowledge of the topic was based on the writings of others, notably William Whewell, John Herschel, and Auguste Comte, and research carried out for Mill by Alexander Bain. He engaged in written debate with Whewell.

In economics, utility is a measure of a certain person's satisfaction from a certain state of the world. Over time, the term has been used with at least two meanings.

• In a normative context, utility refers to a goal or objective that we wish to maximize, i.e., an objective function. This kind of utility bears a closer resemblance to the original utilitarian concept, developed by moral philosophers such as Jeremy Bentham and John Stuart Mill.
• In a descriptive context, the term refers to an apparent objective function; such a function is revealed by a person's behavior, and specifically by their preferences over lotteries, which can be any quantified choice.

The relationship between these two kinds of utility functions has been a source of controversy among both economists and ethicists, with most maintaining that the two are distinct but generally related.

University College London, which operates as UCL, is a public research university in London, England. It is a member institution of the federal University of London, and is the second-largest university in the United Kingdom by total enrolment and the largest by postgraduate enrolment.

Established in 1826 as London University (although without university status or degree-awarding powers) by founders who were inspired by the radical ideas of Jeremy Bentham, UCL was the first university institution to be established in London, and the first in England to be entirely secular and to admit students regardless of their religion. It was also, in 1878, among the first university colleges to admit women alongside men, two years after University College, Bristol, had done so. Intended by its founders to be England's third university, politics forced it to accept the status of a college in 1836, when it received a royal charter and became one of the two founding colleges of the University of London, although it achieved de facto recognition as a university in the 1990s and formal university status in 2023. It has grown through mergers, including with the Institute of Ophthalmology (in 1995), the Institute of Neurology (in 1997), the Royal Free Hospital Medical School (in 1998), the Eastman Dental Institute (in 1999), the School of Slavonic and East European Studies (in 1999), the School of Pharmacy (in 2012) and the Institute of Education (in 2014).

Negative liberty, or negative freedom, is freedom from interference by other people. Negative liberty is primarily concerned with freedom from external restraint and contrasts with positive liberty (the possession of the power and resources to fulfill one's own potential). The distinction originated with Bentham, was popularized by T. H. Green and Guido De Ruggiero, and is now best known through Isaiah Berlin's 1958 lecture "Two Concepts of Liberty".

In ethical philosophy, utilitarianism is a family of normative ethical theories that prescribe actions that maximize happiness and well-being for the affected individuals. In other words, utilitarian ideas encourage actions that lead to the greatest good for the greatest number. Although different varieties of utilitarianism admit different characterizations, the basic idea that underpins them all is, in some sense, to maximize utility, which is often defined in terms of well-being or related concepts. For instance, Jeremy Bentham, the founder of utilitarianism, described utility as the capacity of actions or objects to produce benefits, such as pleasure, happiness, and good, or to prevent harm, such as pain and unhappiness, to those affected.

Utilitarianism is a version of consequentialism, which states that the consequences of any action are the only standard of right and wrong. Unlike other forms of consequentialism, such as egoism and altruism, egalitarian utilitarianism considers either the interests of all humanity or all sentient beings equally. Proponents of utilitarianism have disagreed on a number of issues, such as whether actions should be chosen based on their likely results (act utilitarianism), or whether agents should conform to rules that maximize utility (rule utilitarianism). There is also disagreement as to whether total utility (total utilitarianism) or average utility (average utilitarianism) should be maximized.

In legal philosophy, legal positivism is the theory that the existence of the law and its content depend on social facts, such as acts of legislation, judicial decisions, and customs, rather than on morality. This contrasts with theories such as natural law, which hold that law is necessarily connected to morality in such a way that any law that contradicts morality lacks legal validity.

Thomas Hobbes defined law as the command of the sovereign. This idea was elaborated in the 18th and 19th centuries by legal philosophers such as Jeremy Bentham and John Austin, who argued that a law is valid not because it is intrinsically moral or just, but because it comes from the sovereign, is generally obeyed by the people, and is backed up by sanctions. Hans Kelsen developed legal positivism further by separating law not only from morality, as the early positivists did, but also from empirical facts, introducing the concept of a norm as an "ought" statement as distinct from a factual "is" statement. In Kelsen's view, the validity of a legal norm derives from a higher norm, creating a hierarchy that ultimately rests on a "basic norm": this basic norm, not the sovereign, is the ultimate source of legal authority.In addition to Kelsen, other prominent legal positivists of the 20th century include H. L. A. Hart and Joseph Raz.