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In developing the theory of archaeology of knowledge, Foucault was trying to analyse the fundamental codes which a culture uses to construct the episteme or configuration of knowledge that determines the empirical orders and social practices of each particular historical era. He adopted discontinuity as a positive working tool.
A stronger form of continuity is uniform continuity. In order theory, especially in domain theory, a related concept of continuity is Scott continuity. As an example, the function H(t) denoting the height of a growing flower at time t would be considered continuous.
The term removable discontinuity is sometimes broadened to include a removable singularity, in which the limits in both directions exist and are equal, while the function is undefined at the point . [a] This use is an abuse of terminology because continuity and discontinuity of a function are concepts defined only for points in the function's ...
The development of the human mind is complex and a debated subject, and may take place in a continuous or discontinuous fashion. [4] Continuous development, like the height of a child, is measurable and quantitative, while discontinuous development is qualitative, like hair or skin color, where those traits fall only under a few specific phenotypes. [5]
Change and continuity is a classic dichotomy within the fields of history, historical sociology, and the social sciences more broadly. The question of change and continuity is considered a classic discussion in the study of historical developments. [ 1 ]
In the theory of differential equations, Lipschitz continuity is the central condition of the Picard–Lindelöf theorem which guarantees the existence and uniqueness of the solution to an initial value problem. A special type of Lipschitz continuity, called contraction, is used in the Banach fixed-point theorem. [2]
The difference between uniform continuity and (ordinary) continuity is that, in uniform continuity there is a globally applicable (the size of a function domain interval over which function value differences are less than ) that depends on only , while in (ordinary) continuity there is a locally applicable that depends on both and . So uniform ...
In the history of ideas, the continuity thesis is the hypothesis that there was no radical discontinuity between the intellectual development of the Middle Ages and the developments in the Renaissance and early modern period. Thus the idea of an intellectual or scientific revolution following the Renaissance is, according to the continuity ...