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Digital infinity is a technical term in theoretical linguistics.Alternative formulations are "discrete infinity" and "the infinite use of finite means". The idea is that all human languages follow a simple logical principle, according to which a limited set of digits—irreducible atomic sound elements—are combined to produce an infinite range of potentially meaningful expressions.
discreet and discrete. Discreet means "circumspect". Discrete means "having separate parts", ... Grammar Puss Archived 2014-04-30 at the Wayback Machine, ...
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic.
"The theoretical distinction between grammatical definiteness and cognitive identifiability has the advantage of enabling us to distinguish between a discrete (grammatical) and a non-discrete (cognitive) category." [1] [p. 84] [a]
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic [1] – do not vary smoothly in this way, but have distinct, separated values. [2]
Linguistic representations can be broken down into small discrete units which combine with each other in rule-governed ways. They are perceived categorically, not continuously. For example, English marks number with the plural morpheme /s/, which can be added to the end of nearly any noun. The plural morpheme is perceived categorically, not ...
Unboundedness and discrete infinity. In principle, language can have a countless amount of words in a sentence. Language is not a continuous notion, but rather discrete in the way that linguistic expressions are distinct units, such as a x word in a sentence, or a x+1, x-l words, and not partial words, x.1, x.2 .... Additionally, language is ...
In contrast, a variable is a discrete variable if and only if there exists a one-to-one correspondence between this variable and a subset of , the set of natural numbers. [8] In other words, a discrete variable over a particular interval of real values is one for which, for any value in the range that the variable is permitted to take on, there ...