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Correspondence theory is a traditional model which goes back at least to some of the ancient Greek philosophers such as Plato and Aristotle. [2] [3] This class of theories holds that the truth or the falsity of a representation is determined solely by how it relates to a reality; that is, by whether it accurately describes that reality.
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The correspondence theory of truth states that truth consists in correspondence with reality. [7] Or in the words of Thomas Aquinas: "A judgment is said to be true when it conforms to the external reality". [14] Truthmaker theory is closely related to correspondence theory; some authors see it as a modern version of correspondence theory. [15]
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1:1 correspondence, an older name for a bijection; Multivalued function; Correspondence (algebraic geometry), between two algebraic varieties; Corresponding sides and corresponding angles, between two polygons; Correspondence (category theory), the opposite of a profunctor; Correspondence (von Neumann algebra) or bimodule, a type of Hilbert space
A proof of the correspondence theorem can be found here. Similar results hold for rings , modules , vector spaces , and algebras . More generally an analogous result that concerns congruence relations instead of normal subgroups holds for any algebraic structure .
The doctrine of analogy and correspondence, present in all esoteric schools of thinking, upholds that the Whole is One and that its different levels (realms, worlds) are equivalent systems, whose parts are in strict correspondence. So much so that a part in a realm symbolically reflects and interacts with the corresponding part in another realm.
The correspondence principle is broadly aligned with the conflict theory approach to sociology, which originated with Karl Marx.Marx's said that there is a social class division in capitalist society, between on the one hand a small percentage of the population who are capitalists, owning the means of production, and on the other workers, who sell their labor power to the capitalists.