Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power. However, it can also include uses of logic to characterize correct mathematical reasoning or to establish foundations of mathematics.
Social science is one of the branches of science, devoted to the study of societies and the relationships among individuals within those societies. The term was formerly used to refer to the field of sociology, the original "science of society", established in the 19th century. In addition to sociology, it now encompasses a wide array of academic disciplines, including anthropology, archaeology, economics, human geography, linguistics, management science, communication science, political science and psychology.
The sociology of knowledge is the study of the relationship between human thought and the social context within which it arises, and the effects that prevailing ideas have on societies. It is not a specialized area of sociology. Instead, it deals with broad fundamental questions about the extent and limits of social influences on individuals' lives and the social-cultural basis of our knowledge about the world. Complementary to the sociology of knowledge is the ignorance, including the study of unawareness, ignorance, knowledge gaps, or non-knowledge as inherent features of knowledge-making.
Social theories are analytical frameworks, or paradigms, that are used to study and interpret social phenomena. A tool used by social scientists, social theories relate to historical debates over the validity and reliability of different methodologies, the primacy of either structure or agency, as well as the relationship between contingency and necessity. Social theory in an informal nature, or authorship based outside of academic social and political science, may be referred to as "social criticism" or "social commentary", or "cultural criticism" and may be associated both with formal cultural and literary scholarship, as well as other non-academic or journalistic forms of writing.
Social research is a research conducted by social scientists following a systematic plan. Social research methodologies can be classified as quantitative and qualitative.
Quantitative research is a research strategy that focuses on quantifying the collection and analysis of data. It is formed from a deductive approach where emphasis is placed on the testing of theory, shaped by empiricist and positivist philosophies.
Ethnomethodology is the study of how social order is produced in and through processes of social interaction. It generally seeks to provide an alternative to mainstream sociological approaches. In its most radical form, it poses a challenge to the social sciences as a whole. Its early investigations led to the founding of conversation analysis, which has found its own place as an accepted discipline within the academy. According to Psathas, it is possible to distinguish five major approaches within the ethnomethodological family of disciplines.
In sociology, social complexity is a conceptual framework used in the analysis of society. Contemporary definitions of complexity in the sciences are found in relation to systems theory, in which a phenomenon under study has many parts and many possible arrangements of the relationships between those parts. At the same time, what is complex and what is simple is relative and may change with time.
Harold Garfinkel was an American sociologist, ethnomethodologist, and a Professor Emeritus at the University of California, Los Angeles. He is known for establishing and developing ethnomethodology as a field of inquiry in sociology. Garfinkel's contribution to sociology includes his book, Studies in Ethnomethodology, a collection of articles published in 1967, and some of the essays had previously been published. Selections from unpublished materials were later published in two volumes: Seeing Sociologically and Ethnomethodology's Program. He also edited a collection of 'studies of work' written by his students.
Grounded theory is a systematic methodology that has been largely applied to qualitative research conducted by social scientists. The methodology involves the construction of hypotheses and theories through the collecting and analysis of data. Grounded theory involves the application of inductive reasoning. The methodology contrasts with the hypothetico-deductive model used in traditional scientific research.
Sociology as a scholarly discipline emerged, primarily out of Enlightenment thought, as a positivist science of society shortly after the French Revolution. Its genesis owed to various key movements in the philosophy of science and the philosophy of knowledge, arising in reaction to such issues as modernity, capitalism, urbanization, rationalization, secularization, colonization and imperialism.
Herbert George Blumer was an American sociologist whose main scholarly interests were symbolic interactionism and methods of social research. Believing that individuals create social reality through collective and individual action, he was an avid interpreter and proponent of George Herbert Mead's social psychology, which he labelled symbolic interactionism. Blumer elaborated and developed this line of thought in a series of articles, many of which were brought together in the book Symbolic Interactionism. An ongoing theme throughout his work, he argued that the creation of social reality is a continuous process. Blumer was also a vociferous critic of positivistic methodological ideas in sociology.
Positivism is an empiricist philosophical theory that holds that all genuine knowledge is either true by definition or positive—meaning a posteriori facts derived by reason and logic from sensory experience. Other ways of knowing, such as theology, metaphysics, intuition, or introspection are rejected or considered meaningless.
A sociological theory is a supposition that intends to consider, analyze, and/or explain objects of social reality from a sociological perspective, drawing connections between individual concepts in order to organize and substantiate sociological knowledge. Hence, such knowledge is composed of complex theoretical frameworks and methodology.
Mathematical sociology or the sociology of mathematics is an interdisciplinary field of research concerned both with the use of mathematics within sociological research as well as research into the relationships that exist between maths and society.
Walter Frederick Buckley was an American sociologist, and professor of sociology at the University of New Hampshire. Buckley was among the first to apply concepts from general systems theory based on the work of Bertalanffy to sociology
Kenneth D. Bailey is an American sociologist, systems scientist and professor of sociology at the University of California in Los Angeles.
Sociology is a social science that focuses on society, human social behavior, patterns of social relationships, social interaction, and aspects of culture associated with everyday life. It uses various methods of empirical investigation and critical analysis to develop a body of knowledge about social order and social change. While some sociologists conduct research that may be applied directly to social policy and welfare, others focus primarily on refining the theoretical understanding of social processes and phenomenological method. Subject matter can range from micro-level analyses of society to macro-level analyses.
David Reuben Jerome Heise was a social psychologist who originated the idea that affectual processes control interpersonal behavior. He contributed to both quantitative and qualitative methodology in sociology. He retired from undergraduate teaching in 2002, but continued research and graduate student consulting as Rudy Professor of Sociology Emeritus at Indiana University. He is most well known for his work on affect control theory. Heise died on September 28, 2021, after a brief illness.
Patrick Doreian is an American mathematician and social scientist, whose specialty is network analysis. His specific research interests include blockmodeling, social structure and network processeses.
