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   Knowledge of a language enables you to combine sounds to form words, words to form phrases, and phrases to form sentences. You cannot buy a dictionary or phrase book of any language with all the sentences of the language. No dictionary can list all the possible sentences, because the number of sentences in a language is infinite. Knowing a language means being able to produce and understand new sentences never spoken before. This is the creative aspect of language. Not every speaker can create great literature, but everybody who knows a language can create and understand new sentences.

   This creative aspect of language is quite easy to illustrate. If for every sentence in the language a longer sentence can be formed, then there is no limit to the number of sentences. If you know English, you have the knowledge to add any number of adjectives as modifiers to a noun and to form sentences with indefinite numbers of clauses.

   All human languages permit their speakers to increase the length and complexity of sentences in these ways; creativity is a universal property of human language.

  Our knowledge of language not only allows us to produce and understand an infinite number of well-formed (even if silly and illogical) sentences, but also permits us to distinguish well-formed (grammatical) sentences from ill-formed (ungrammatical) sentences – or non-sentences.

(Fromkin, Rodman and Hyams, An Introduction to Language, 2013. Adaptado)