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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.
Dvaita (द्वैत) is a Sanskrit word that means "duality, dualism". [6] The term refers to any premise, particularly in theology on the material and the divine, where two principles (truths) or realities are posited to exist simultaneously and independently.
Duality (disambiguation) Duality (electrical circuits) Duality (mathematics), 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; List of dualities; Monism; Nondualism
As a result of these references, many scholars (most notably Miguel León-Portilla) interpret the rare name ōmeteōtl as "Dual God" or "Lord of the Duality". León-Portilla further argues that Ōmeteōtl was the supreme creator deity of the Aztecs, and that the Aztecs envisioned this deity as a mystical entity with a dual nature.
Nondualism includes a number of philosophical and spiritual traditions that emphasize the absence of fundamental duality or separation in existence. [1] This viewpoint questions the boundaries conventionally imposed between self and other, mind and body, observer and observed, [2] and other dichotomies that shape our perception of reality.
While Western philosophical traditions, as exemplified by Descartes, equate mind with the conscious self and theorize on consciousness on the basis of mind/body dualism, some Eastern philosophies provide an alternate viewpoint, intimately related to substance dualism, by drawing a metaphysical line between consciousness and matter — where matter includes both body and mind.
Janus is the name of a time-reversible programming language. It is also the name of a concurrent constraint programming language. William Janus is a minor character in the American sitcom South Park who suffers from dissociative identity disorder; his surname is derived from the Roman god. [276]
The yin and yang symbolizes the duality in nature and all things in Traditional Chinese Medicine, Confucianism and Taoist religion. Alternatively, dualism can mean the tendency of humans to perceive and understand the world as being divided into two overarching categories. In this sense, it is dualistic when one perceives a tree as a thing ...