A language is the means by which cognitive beings communicate with one another. At the heart of any language are the symbols that constitute the alphabet of the language. In the English Language, the alphabet consists of 26 symbols (a-z). The binary language (alphabet consists of two symbols, e.g. 0, 1); the decimal language (alphabet consists of 10 symbols, e.g. 0 thru 9) and the hexadecimal language (alphabet consists of 16 symbols, e.g. 0 thru 9 plus A thru F) are often encountered in computational analyses. There are numerous other languages based on various alphabets.
A language is established when two or more cognitive beings accept an alphabet mapping as the protocol for communication. An alphabet mapping is the mapping of subsets of an alphabet into space (the space itself, the beings in the space and the beings of the beings in the space). This mapping establishes a language system. Since all systems are expressions of Pj problems, a language system is an expression of Pj problems. It is easy to see the containerships of the spaces that constitute the laguage system, the identities, forces, motions, changes and grouping/interaction of the alphabet mapping that establishes the language system.
A language system is mature when it has attained dynamic equilibrium. In other words, its structure is fixed and changes occur only in the addition of new words and or the deletion of obsolete words.