Universe Of Discourse
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Universe Of Discourse
In the formal sciences, the domain of discourse or universe of discourse (borrowing from the mathematical concept of ''universe'') is the set of entities over which certain variables of interest in some formal treatment may range. It is also defined as the collection of objects being discussed in a specific discourse. In model-theoretical semantics, a universe of discourse is the set of entities that a model is based on. The domain of discourse is usually identified in the preliminaries, so that there is no need in the further treatment to specify each time the range of the relevant variables. Many logicians distinguish, sometimes only tacitly, between the ''domain of a science'' and the ''universe of discourse of a formalization of the science''. Etymology The concept ''universe of discourse'' was used for the first time by George Boole (1854) on page 42 of his '' Laws of Thought'': The concept, probably discovered independently by Boole in 1847, played a crucial role i ...
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Latex Domain Of Discourse
Latex is an emulsion (stable dispersion) of polymer microparticles in water. Latices are found in nature, but synthetic latices are common as well. In nature, latex is found as a milky fluid, which is present in 10% of all flowering plants (angiosperms) and in some mushrooms (especially species of ''Lactarius''). It is a complex emulsion that coagulates on exposure to air, consisting of proteins, alkaloids, starches, sugars, oils, tannins, resins, and gums. It is usually exuded after tissue injury. In most plants, latex is white, but some have yellow, orange, or scarlet latex. Since the 17th century, latex has been used as a term for the fluid substance in plants, deriving from the Latin word for "liquid". It serves mainly as defense against herbivores and fungivores.Taskirawati, I. and Tuno, N., 2016Fungal defense against mycophagy in milk caps ''Science Report Kanazawa University'', ''60'', pp.1-10. Latex is not to be confused with plant sap; it is a distinct substance, ...
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Interpretation (logic)
An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely syntactic terms, and as such do not have any meaning until they are given some interpretation. The general study of interpretations of formal languages is called formal semantics. The most commonly studied formal logics are propositional logic, predicate logic and their modal analogs, and for these there are standard ways of presenting an interpretation. In these contexts an interpretation is a function that provides the extension of symbols and strings of an object language. For example, an interpretation function could take the predicate symbol T and assign it the extension \. All our interpretation does is assign the extension \ to the non-logical symbol T, and does not make a claim about whether T is to stand for tall and \mathrm for Abraham Lincoln. On the other hand, an interpretation ...
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Term Algebra
Term may refer to: Language *Terminology, context-specific nouns or compound words **Technical term (or ''term of art''), used by specialists in a field ***Scientific terminology, used by scientists *Term (argumentation), part of an argument in debate theory Law and finance *Contractual term, a provision in a contract **Credit repayment terms **Payment terms, "net ''D''" on a trade invoice **Purchase order#Legal, Purchase order, invoice terms more generally *Term life insurance Lengths of time *Academic term, part of a year at school or university *Term of office, a set period a person serves in an elected office *Term of patent, the period of enforcement of patent rights *Term of a pregnancy *Prison sentence Mathematics and physics *Term (logic), a component of a logical or mathematical expression (not to be confused with term logic, or Aristotelian logic) **Ground term, a term with no variables *Term (arithmetic), or addend, an operand to the addition operator **Term of a summ ...
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Interpretation (logic)
An interpretation is an assignment of meaning to the symbols of a formal language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely syntactic terms, and as such do not have any meaning until they are given some interpretation. The general study of interpretations of formal languages is called formal semantics. The most commonly studied formal logics are propositional logic, predicate logic and their modal analogs, and for these there are standard ways of presenting an interpretation. In these contexts an interpretation is a function that provides the extension of symbols and strings of an object language. For example, an interpretation function could take the predicate symbol T and assign it the extension \. All our interpretation does is assign the extension \ to the non-logical symbol T, and does not make a claim about whether T is to stand for tall and \mathrm for Abraham Lincoln. On the other hand, an interpretation ...
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