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ideal theory

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  • Ideal theory — In mathematics, ideal theory is the theory of ideals in commutative rings; and is the precursor name for the contemporary subject of commutative algebra. The name grew out of the central considerations, such as the Lasker Noether theorem in… …   Wikipedia

  • Ideal — I*de al, a. [L. idealis: cf. F. id[ e]al.] 1. Existing in idea or thought; conceptional; intellectual; mental; as, ideal knowledge. [1913 Webster] 2. Reaching an imaginary standard of excellence; fit for a model; faultless; as, ideal beauty.… …   The Collaborative International Dictionary of English

  • Ideal (ring theory) — In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring. The ideal concept allows the generalization in an appropriate way of some important properties of integers like even number or multiple of 3 . For instance, in… …   Wikipedia

  • ideal — idealness, n. /uy dee euhl, uy deel /, n. 1. a conception of something in its perfection. 2. a standard of perfection or excellence. 3. a person or thing conceived as embodying such a conception or conforming to such a standard, and taken as a… …   Universalium

  • Ideal observer theory — is the meta ethical view which claims that: # Ethical sentences express propositions. # Those propositions are about the attitudes of people. [Brandt 1959, p. 153: [Objectivism and subjectivism] have been used more vaguely, confusedly, and in… …   Wikipedia

  • Ideal — may refer to:* Ideal (ethics), values that one actively pursues as goals * Platonic ideal, a philosophical idea of trueness of form, associated with PlatoIn mathematics* Ideal (ring theory), special subsets of a ring considered in abstract… …   Wikipedia

  • Ideal type — Ideal type, also known as pure type or Idealtyp in the original German, is a typological term most closely associated with sociologist Max Weber (1864 1920). An ideal type is formed from characteristics and elements of the given phenomena, but it …   Wikipedia

  • Ideal tasks — arise during task analysis. Ideal tasks are different from real tasks. They are ideals in the Platonic sense of a circle being an ideal where as a drawn circle is flawed and real. The study of theoretically best or “mathematically ideal” tasks… …   Wikipedia

  • Theory-based semantics — is a phrase used by Richard L. Ballard to describe knowledge representations that are based on the premise that the binding element of human thought is theory, and that theory constrains the meaning of concepts, ideas and thought patterns… …   Wikipedia

  • ideal type — Ideal types in sociology are most closely associated with the name of Max Weber , although as a method of investigation and explanation they are more commonly found in economics, for example in the concept of the perfect market. For Weber, the… …   Dictionary of sociology

  • ideal limit — theory of truth …   Philosophy dictionary

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