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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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A classic example of correspondence theory is the statement by the thirteenth century philosopher and theologian Thomas Aquinas: "Veritas est adaequatio rei et intellectus" ("Truth is the adequation of things and intellect"), which Aquinas attributed to the ninth century Neoplatonist Isaac Israeli.
Chapters 5 and 6 study the correspondence theory, where a statement is true when it corresponds to a fact. Chapters 6 and 10 concern the doctrine of speech acts. Chapters 8, 9, and 12 reflect on the problems that language encounters in discussing actions and considering the cases of excuses, accusations, and freedom.
First, those that exist in nature, seen and unseen, e.g. between the seven metals and the seven planets, between the planets and parts of the human body or character (or of society). This is the basis of astrology - correspondence between the natural world and the invisible departments of the celestial and supercelestial world, etc.
Spinoza engaged in correspondence with Willem van Blijenbergh, an amateur Calvinist theologian, who sought Spinoza's view on the nature of evil and sin. Whereas Blijenbergh deferred to the authority of scripture for theology and philosophy, Spinoza told him not solely to look at scripture for truth or anthropomorphize God.
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
Namely, a sign is something, A, which brings something, B, its interpretant sign determined or created by it, into the same sort of correspondence with something, C, its object, as that in which itself stands to C. It is from this definition, together with a definition of "formal", that I deduce mathematically the principles of logic.