Social science in the context of Polynomials

Political science is the social scientific study of politics. It deals with systems of governance and power, and the analysis of political activities, political thought, political behavior, and associated constitutions and laws. Specialists in the field are political scientists.
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History is the systematic study of the past, focusing primarily on the human past. As an academic discipline, it analyses and interprets evidence to construct narratives about what happened and explain why it happened. Some theorists categorize history as a social science, while others see it as part of the humanities or consider it a hybrid discipline. Similar debates surround the purpose of history—for example, whether its main aim is theoretical, to uncover the truth, or practical, to learn lessons from the past. In a more general sense, the term history refers not to an academic field but to the past itself, times in the past, or to individual texts about the past.

Historical research relies on primary and secondary sources to reconstruct past events and validate interpretations. Source criticism is used to evaluate these sources, assessing their authenticity, content, and reliability. Historians strive to integrate the perspectives of several sources to develop a coherent narrative. Different schools of thought, such as positivism, the Annales school, Marxism, and postmodernism, have distinct methodological approaches.

Humans, scientifically known as Homo sapiens, are primates that belong to the biological family of great apes and are characterized by hairlessness, bipedality, and high intelligence. Humans have large brains compared to body size, enabling more advanced cognitive skills that facilitate successful adaptation to varied environments, development of sophisticated tools, and formation of complex social structures and civilizations.

Humans are highly social, with individual humans tending to belong to a multi-layered network of distinct social groups – from families and peer groups to corporations and political states. As such, social interactions between humans have established a wide variety of values, social norms, languages, and traditions (collectively termed institutions), each of which bolsters human society. Humans are also highly curious: the desire to understand and influence phenomena has motivated humanity's development of science, technology, philosophy, mythology, religion, and other frameworks of knowledge; humans also study themselves through such domains as anthropology, social science, history, psychology, and medicine. As of 2025, there are estimated to be more than 8 billion living humans.

In ethics and social sciences, value denotes the degree of importance of some thing or action, with the aim of determining which actions are best to do or what way is best to live (normative ethics), or to describe the significance of different actions. Value systems are proscriptive and prescriptive beliefs; they affect the ethical behavior of a person or are the basis of their intentional activities. Often primary values are strong and secondary values are suitable for changes. What makes an action valuable may in turn depend on the ethical values of the objects it increases, decreases, or alters. An object with "ethic value" may be termed an "ethic or philosophic good" (noun sense).

Values can be defined as broad preferences concerning appropriate courses of actions or outcomes. As such, values reflect a person's sense of right and wrong or what "ought" to be. "Equal rights for all", "Excellence deserves admiration", and "People should be treated with respect and dignity" are representatives of values. Values tend to influence attitudes and behavior and these types include moral values, doctrinal or ideological values, social values, and aesthetic values. It is debated whether some values that are not clearly physiologically determined, such as altruism, are intrinsic, and whether some, such as acquisitiveness, should be classified as vices or virtues.

Politics 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 status or resources.The branch of social science that studies politics and government is referred to as political science.

Politics may be used positively in the context of a "political solution" which is compromising and non-violent, or descriptively as "the art or science of government", but the word often also carries a negative connotation. The concept has been defined in various ways, and different approaches have fundamentally differing views on whether it should be used extensively or in a limited way, empirically or normatively, and on whether conflict or co-operation is more essential to it.

Law is a set of rules that are created and are enforceable by social or governmental institutions to regulate behavior, with its precise definition a matter of longstanding debate. It has been variously described as a science and as the art of justice. State-enforced laws can be made by a legislature, resulting in statutes; by the executive through decrees and regulations; or by judges' decisions, which form precedent in common law jurisdictions. An autocrat may exercise those functions within their realm. The creation of laws themselves may be influenced by a constitution, written or tacit, and the rights encoded therein. The law shapes politics, economics, history and society in various ways and also serves as a mediator of relations between people.

Legal systems vary between jurisdictions, with their differences analysed in comparative law. In civil law jurisdictions, a legislature or other central body codifies and consolidates the law. In common law systems, judges may make binding case law through precedent, although on occasion this may be overturned by a higher court or the legislature. Religious law is in use in some religious communities and states, and has historically influenced secular law.

The history of science covers the development of science from ancient times to the present. It encompasses all three major branches of science: natural, social, and formal. Protoscience, early sciences, and natural philosophies such as alchemy and astrology that existed during the Bronze Age, Iron Age, classical antiquity and the Middle Ages, declined during the early modern period after the establishment of formal disciplines of science in the Age of Enlightenment.

The earliest roots of scientific thinking and practice can be traced to Ancient Egypt and Mesopotamia during the 3rd and 2nd millennia BCE. These civilizations' contributions to mathematics, astronomy, and medicine influenced later Greek natural philosophy of classical antiquity, wherein formal attempts were made to provide explanations of events in the physical world based on natural causes. After the fall of the Western Roman Empire, knowledge of Greek conceptions of the world deteriorated in Latin-speaking Western Europe during the early centuries (400 to 1000 CE) of the Middle Ages, but continued to thrive in the Greek-speaking Byzantine Empire. Aided by translations of Greek texts, the Hellenistic worldview was preserved and absorbed into the Arabic-speaking Muslim world during the Islamic Golden Age. The recovery and assimilation of Greek works and Islamic inquiries into Western Europe from the 10th to 13th century revived the learning of natural philosophy in the West. Traditions of early science were also developed in ancient India and separately in ancient China, the Chinese model having influenced Vietnam, Korea and Japan before Western exploration. Among the Pre-Columbian peoples of Mesoamerica, the Zapotec civilization established their first known traditions of astronomy and mathematics for producing calendars, followed by other civilizations such as the Maya.

Archaeology or archeology is the study of human activity through the recovery and analysis of material culture. The archaeological record consists of artifacts, architecture, biofacts or ecofacts, sites, and cultural landscapes. Archaeology can be considered both a social science and a branch of the humanities. It is usually considered an independent academic discipline, but may also be classified as part of anthropology (in North America – the four-field approach), history or geography. The discipline involves surveying, excavation, and eventually analysis of data collected, to learn more about the past. In broad scope, archaeology relies on cross-disciplinary research.

Archaeologists study human prehistory and history, from the development of the first stone tools at Lomekwi in East Africa 3.3 million years ago up until recent decades. Archaeology is distinct from palaeontology, which is the study of fossil remains. Archaeology is particularly important for learning about prehistoric societies, for which, by definition, there are no written records. Prehistory includes over 99% of the human past, from the Paleolithic until the advent of literacy in societies around the world. Archaeology has various goals, which range from understanding culture history to reconstructing past lifeways to documenting and explaining changes in human societies through time. Derived from Greek, the term archaeology means "the study of ancient history".

The Annales school (French pronunciation: [a'nal]) is a group of historians associated with a style of historiography developed by French historians in the 20th century to stress long-term social history. It is named after its scholarly journal Annales. Histoire, Sciences Sociales, which remains the main source of scholarship, along with many books and monographs. The school has been influential in setting the agenda for historiography in France and numerous other countries, especially regarding the use of social scientific methods by historians, emphasizing social and economic rather than political or diplomatic themes.

The school deals primarily with late medieval and early modern Europe (before the French Revolution), with little interest in later topics. It has dominated French social history and heavily influenced historiography in Europe and Latin America. Prominent leaders include co-founders Lucien Febvre (1878–1956), Henri Hauser (1866–1946) and Marc Bloch (1886–1944). The second generation was led by Fernand Braudel (1902–1985) and included Georges Duby (1919–1996), Pierre Goubert (1915–2012), Robert Mandrou (1921–1984), Pierre Chaunu (1923–2009), Jacques Le Goff (1924–2014), and Ernest Labrousse (1895–1988). Institutionally it is based on the Annales journal, the SEVPEN publishing house, the Fondation Maison des sciences de l'homme (FMSH), and especially the 6th Section of the École pratique des hautes études, all based in Paris. A third generation was led by Emmanuel Le Roy Ladurie (1929–2023) and includes Jacques Revel, and Philippe Ariès (1914–1984), who joined the group in 1978. The third generation stressed history from the point of view of mentalities, or mentalités. The fourth generation of Annales historians, led by Roger Chartier (born 1945), clearly distanced itself from the mentalités approach, replaced by the cultural and linguistic turn, which emphasizes the social history of cultural practices.

Psychology is the scientific study of behavior and mind. Its subject matter includes the behavior of humans and nonhumans, both conscious and unconscious phenomena, and mental processes such as thoughts, feelings, and motives. Psychology is an academic discipline of immense scope, crossing the boundaries between the natural and social sciences. Biological psychologists seek an understanding of the emergent properties of brains, linking the discipline to neuroscience. As social scientists, psychologists aim to understand the behavior of individuals and groups.

A professional practitioner or researcher involved in the discipline is called a psychologist. Some psychologists can also be classified as behavioral or cognitive scientists. Some psychologists attempt to understand the role of mental functions in individual and social behavior. Others explore the physiological and neurobiological processes that underlie cognitive functions and behaviors.

Economics (/ˌɛkəˈnɒmɪks, ˌiːkə-/) is a social science that studies the production, distribution, and consumption of goods and services.

Economics focuses on the behaviour and interactions of economic agents and how economies work. Microeconomics analyses what is viewed as basic elements within economies, including individual agents and markets, their interactions, and the outcomes of interactions. Individual agents may include, for example, households, firms, buyers, and sellers. Macroeconomics analyses economies as systems where production, distribution, consumption, savings, and investment expenditure interact; and the factors of production affecting them, such as: labour, capital, land, and enterprise, inflation, economic growth, and public policies that impact these elements. It also seeks to analyse and describe the global economy.

Populism is a contested concept for a variety of political stances that emphasise the idea of the "common people", often in opposition to a perceived elite. It is frequently associated with anti-establishment and anti-political sentiment. The term developed in the late 19th century and has been applied to various politicians, parties, and movements since that time, often assuming a pejorative tone. Within political science and other social sciences, different definitions of populism have been employed.

London is the capital and largest city of both England and the United Kingdom, with a population of 9.1 million people in 2024. Its wider metropolitan area is the largest in Western Europe, with a population of 15.1 million. London stands on the River Thames in southeast England, at the head of a 50-mile (80 km) tidal estuary down to the North Sea, and has been a major settlement for nearly 2,000 years. Its ancient core and financial centre, the City of London, was founded by the Romans as Londinium and has retained its medieval boundaries. The City of Westminster, to the west of the City of London, has been the centuries-long host of the national government and parliament. London grew rapidly in the 19th century, becoming the world's largest city at the time. Since the 19th century the name "London" has referred to the metropolis around the City of London, historically split between the counties of Middlesex, Essex, Surrey, Kent and Hertfordshire, which since 1965 has largely comprised the administrative area of Greater London, governed by 33 local authorities and the Greater London Authority.

As one of the world's major global cities, London exerts a strong influence on world art, entertainment, fashion, commerce, finance, education, healthcare, media, science, technology, tourism, transport and communications. London is Europe's largest city economy and one of the world's major financial centres. London hosts Europe's largest concentration of higher education institutions, comprising over 50 universities and colleges and enrolling more than 500,000 students as at 2023. It is home to several of the world's leading academic institutions: Imperial College London, internationally recognised for its excellence in natural and applied sciences, and University College London (UCL), a comprehensive research-intensive university, consistently rank among the top ten globally. Other notable institutions include King's College London (KCL), highly regarded in law, humanities and health sciences; the London School of Economics (LSE), globally prominent in social sciences and economics; and specialised institutions such as the Royal College of Art (RCA), Royal Academy of Music (RAM), the Royal Academy of Dramatic Art (RADA), the School of Oriental and African Studies (SOAS) and London Business School (LBS). It is the most-visited city in Europe and has the world's busiest city airport system. The London Underground is the world's oldest rapid transit system.

In the social sciences, social structure is the aggregate of patterned social arrangements in society that are both emergent from and determinant of the actions of individuals. Likewise, society is believed to be grouped into structurally related groups or sets of roles, with different functions, meanings, or purposes. Examples of social structure include family, religion, law, economy, and class. It contrasts with "social system", which refers to the parent structure in which these various structures are embedded. Thus, social structures significantly influence larger systems, such as economic systems, legal systems, political systems, cultural systems, etc. Social structure can also be said to be the framework upon which a society is established. It determines the norms and patterns of relations between the various institutions of the society.

Since the 1920s, the term has been in general use in social science, especially as a variable whose sub-components needed to be distinguished in relationship to other sociological variables, as well as in academic literature, as result of the rising influence of structuralism. The concept of "social stratification", for instance, uses the idea of social structure to explain that most societies are separated into different strata (levels), guided (if only partially) by the underlying structures in the social system. There are three conditions for a social class to be steady, that of class cohesiveness, the self-consciousness of classes, and the self-awareness of one's own class. It is also important in the modern study of organizations, as an organization's structure may determine its flexibility, capacity to change, and success. In this sense, structure is an important issue for management.

Level of analysis is used in the social sciences to point to the location, size, or scale of a research target. It is distinct from unit of observation in that the former refers to a more or less integrated set of relationships while the latter refers to the distinct unit from which data have been or will be gathered. Together, the unit of observation and the level of analysis help define the population of a research enterprise.

In the social sciences, a social group is defined as two or more people who interact with one another, share similar characteristics, and collectively have a sense of unity. Regardless, social groups come in a myriad of sizes and varieties. For example, a society can be viewed as a large social group. The system of behaviors and psychological processes occurring within a social group or between social groups is known as group dynamics.

Academic writing or scholarly writing refers primarily to nonfiction writing that is produced as part of academic work in accordance with the standards of a particular academic subject or discipline, including:

• reports on empirical fieldwork or research in facilities for the natural sciences or social sciences,
• monographs in which scholars analyze culture, propose new theories, or develop interpretations from archives, as well as undergraduate versions of all of these.

Academic writing typically uses a more formal tone and follows specific conventions. Central to academic writing is its intertextuality, or an engagement with existing scholarly conversations through meticulous citing or referencing of other academic work, which underscores the writer's participation in the broader discourse community. However, the exact style, content, and organization of academic writing can vary depending on the specific genre and publication method. Despite this variation, all academic writing shares some common features, including a commitment to intellectual integrity, the advancement of knowledge, and the rigorous application of disciplinary methodologies.