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.
Because of this, mathematical sociology can have a diverse meaning depending on the authors in question and the kind of research being carried out. This creates contestation over whether mathematical sociology is a derivative of sociology, an intersection of the two disciplines, or a discipline in its own right. This is a dynamic, ongoing academic development that leaves mathematical sociology sometimes blurred and lacking in uniformity, presenting grey areas and need for further research into developing its academic merit.
Starting in the early 1940s, Nicolas Rashevsky, and subsequently in the late 1940s, Anatol Rapoport and others, developed a relational and probabilistic approach to the characterization of large social networks in which the nodes are persons and the links are acquaintanceship. During the late 1940s, formulas were derived that connected local parameters such as closure of contacts – if A is linked to both B and C, then there is a greater than chance probability that B and C are linked to each other – to the global network property of connectivity.
Moreover, acquaintanceship is a positive tie, but what about negative ties such as animosity among persons? To tackle this problem, graph theory, which is the mathematical study of abstract representations of networks of points and lines, can be extended to include these two types of links and thereby to create models that represent both positive and negative sentiment relations, which are represented as signed graphs. A signed graph is called balanced if the product of the signs of all relations in every cycle (links in every graph cycle) is positive. Through formalization by mathematician Frank Harary, this work produced the fundamental theorem of this theory. It says that if a network of interrelated positive and negative ties is balanced, e.
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In the psychology of motivation, balance theory is a theory of attitude change, proposed by Fritz Heider. It conceptualizes the cognitive consistency motive as a drive toward psychological balance. The consistency motive is the urge to maintain one's values and beliefs over time. Heider proposed that "sentiment" or liking relationships are balanced if the affect valence in a system multiplies out to a positive result. Structural balance theory in social network analysis is the extension proposed by Frank Harary and Dorwin Cartwright.
A social network is a social structure made up of a set of social actors (such as individuals or organizations), sets of dyadic ties, and other social interactions between actors. The social network perspective provides a set of methods for analyzing the structure of whole social entities as well as a variety of theories explaining the patterns observed in these structures. The study of these structures uses social network analysis to identify local and global patterns, locate influential entities, and examine network dynamics.
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. In simple words sociology is the scientific study of society. 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.
Explores weak ties' significance in social networks, job finding, and information diffusion, emphasizing the Triadic Closure principle and the paradox of weak ties in job finding.
This doctoral thesis is based on the observation that the individualization of society that is taking place today has led to new differentiations within the domains of lifestyle and residential choice. Our main hypothesis was that lifestyle influences resi ...
At the crossroads of transportation engineering and urban sociology, the dissertation deciphers the interactions between daily mobility and social inequalities, what I call the "social mechanics of mobility". To do so, I draw on a twofold survey, both quan ...
While scholars have long established that city dwellers choose with whom to develop relationships on the basis of social proximity, spatial proximity remains the basis for neighbour relations involving greetings, social conversation, and the exchange of se ...