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He presents a developed attempt to move beyond the dualism of structure and agency and argues for the "duality of structure" – where social structure is both the medium and the outcome of social action, and agents and structures as mutually constitutive entities with "equal ontological status". [5]
In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives, the primal problem or the dual problem. If the primal is a minimization problem then the dual is a maximization problem (and vice versa).
A sociological theory is a supposition that intends to consider, analyze, and/or explain objects of social reality from a sociological perspective, [1]: 14 drawing connections between individual concepts in order to organize and substantiate sociological knowledge.
In the duality, the agency has much more influence on its lived environment than past structuralist theory had granted. The key to Giddens' explanation is his focus on the knowledgeability of the agent and the fact that the agency cannot exist or be analysed separately from its structure. They can only exist as a duality.
Giddens holds this duality, alongside "structure" and "system," in addition to the concept of recursiveness, as the core of structuration theory. [ 1 ] : 17 His theory has been adopted by those with structuralist inclinations, but who wish to situate such structures in human practice rather than to reify them as an ideal type or material property.
In mathematics and mathematical optimization, the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex functions. It is also known as Legendre–Fenchel transformation, Fenchel transformation, or Fenchel conjugate (after Adrien-Marie Legendre and Werner Fenchel).
The Social Construction of Reality: A Treatise in the Sociology of Knowledge (1966), by Peter L. Berger and Thomas Luckmann, proposes that social groups and individual persons who interact with each other, within a system of social classes, over time create concepts (mental representations) of the actions of each other, and that people become habituated to those concepts, and thus assume ...
In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A.