How to use adicity in a sentence? Find typical usage patterns (collocations)/phrases/context for "adicity" and check conjugation/comparative form for "adicity". Mastering all the usages of "adicity" from sentence examples published by news publications.
Arity () is the number of arguments or operands that a function or operation in logic, mathematics, and computer science takes. In mathematics, arity may also be named rank, but this word can have many other meanings in mathematics. In logic and philosophy, it is also called adicity and degree. In linguistics, it is usually named valency.
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For musical groups solo, duo, trio, quartet, etc. are commonly used, and pair is used for a group of two. A conspicuous use of distributive numbers is in arity or adicity, to indicate how many parameters a function takes. Most commonly this uses Latin distributive numbers and -ary, as in unary, binary, ternary, but sometimes Greek numbers are used instead, with -adic, as in monadic, dyadic, triadic.
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Armstrong's theory of universals treats relations as having no particular ontological difficulty, they can be treated in the same way non-relational properties are. How Armstrong's theory of universals deals with relations with varying adicities has been raised as an issue by Fraser MacBride. MacBride argues that there can be relations where the number of terms in the relation varies across instances. Armstrong's response is to affirm a theory he describes as the Principle of Instantial Invariance, wherein the adicity of properties are essential and invariant.
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The object of thought introduced in this way may be called a hypostatic object and in some senses an abstract object and a formal object. The above definition is adapted from the one given by Charles Sanders Peirce (CP 4.235, "The Simplest Mathematics" (1902), in Collected Papers, CP 4.227–323). As Peirce describes it, the main point about the formal operation of hypostatic abstraction, insofar as it operates on formal linguistic expressions, is that it converts a predicative adjective or predicate into an extra subject, thus increasing by one the number of "subject" slots—called the arity or adicity—of the main predicate. The transformation of "honey is sweet" into "honey possesses sweetness" can be viewed in several ways: 400px The grammatical trace of this hypostatic transformation is a process that extracts the adjective "sweet" from the predicate "is sweet", replacing it by a new, increased-arity predicate "possesses", and as a by-product of the reaction, as it were, precipitating out the substantive "sweetness" as a second subject of the new predicate.
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