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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.
Dualism most commonly refers to: . Mind–body dualism, a philosophical view which holds that mental phenomena are, at least in certain respects, not physical phenomena, or that the mind and the body are distinct and separable from one another
Duality (mathematics), a mathematical concept Dual (category theory), a formalization of mathematical duality Duality (optimization) Duality (order theory), a concept regarding binary relations
Dharmakīrti, a key theorist of Buddhist atomism.. During the classical era of Buddhist philosophy in India, philosophers such as Dharmakirti argued for a dualism between states of consciousness and Buddhist atoms (the basic building blocks that make up reality), according to the "standard interpretation" of Dharmakirti's Buddhist metaphysics.
Vishishta Advaita, meaning "non-duality with distinctions", is a non-dualistic philosophy that recognizes Brahman as the supreme reality while also acknowledging its multiplicity. This philosophy can be characterized as a form of qualified monism , attributive monism, or qualified non-dualism.
Dualism or dualistic cosmology is the moral or belief that two fundamental concepts exist, which often oppose each other. It is an umbrella term that covers a diversity of views from various religions, including both traditional religions and scriptural religions.
A set C (blue) and its dual cone C * (red).. A duality in geometry is provided by the dual cone construction. Given a set of points in the plane (or more generally points in ), the dual cone is defined as the set consisting of those points (,) satisfying + for all points (,) in , as illustrated in the diagram.
A conflict of interest exists if the circumstances are reasonably believed (on the basis of past experience and objective evidence) to create a risk that a decision may be unduly influenced by other, secondary interests, and not on whether a particular individual is actually influenced by a secondary interest. A widely used definition is: "A ...