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Hjelmslev also points out that an algorithmic description of a language could generate an infinite number of products from a finite number of primitive elements:"When we compare the inventories yielded at the various stages of the deduction, their size will usually turn out to decrease as the procedure goes on. If the text is unrestricted, i. e. , capable of being prolonged through constant addition of further parts it will be possible to register an unrestricted number of sentences"These are logical consequences of the mathematical systems proposed by David Hilbert and Rudolf Carnap which were first adopted into linguistics by Hjelmslev whose ideas are reiterated by Chomsky:The fundamental aim in the linguistic analysis of a language L is to separate the grammatical sequences which are the sentences of L from the ungrammatical sequences which are not sentences of L. The grammar of L will thus be a device that generates all of the grammatical sequences of L and none of the ungrammatical onesChomsky likewise states that a recursive device such as closed loops would allow the grammar to generate an infinite number of sentences. There are however some major points of divergence from Hjelmslev's conception. Hjelmslev was a structuralist and applied mathematical models to Ferdinand de Saussure's concept of language as an interactive system of meaning and form. Although the Bloomfieldian school of early to mid 20th century linguists were nicknamed 'American structuralists', they essentially rejected the basic tenets of structuralism: that linguistic form is explained through meaning, and that linguistics belongs to the domain of sociology. Instead, the idea of language endorsed by Leonard Bloomfield and his followers derived from William Wundt's mentalistic psychology which was replaced by behavioural psychology in Bloomfield's 1933 book Language. This led to the separation of syntax from semantics as not an observable link in a stimulusresponse chain. Chomsky, like Harris and other American linguists, agreed that there is no causal link from semantics to syntax.

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At this point, people become capable of seeing multiple potential solutions to problems and think more scientifically about the world around them. Citation: . The information processing approach views the human mind as a system that processes information. Using this perspective tries to describe and explain changes in the processes and strategies that lead to greater cognitive competence as children develop. Information processing system does not change with development; instead development occurs through changes in the efficiency of the processes applied to the information. While Piagets Cognitive theory viewed focusing on a child's development in terms of information processing, conceptual resources, perceptual skill, language learning, and other aspects of brain development and cognitive psychology compared to an adult's point of view.

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