PreBabel Laws and Theorems

Law 1: Encoding with a closed set of root words, any arbitrary vocabulary type language will be organized into a logically linked linear chain, similar to the amino acids / enzymes / proteins system.

Note 1: arbitrary vocabulary means that words are patterns of temporally ordered sound types, and meaning of a word does not attach to particular activities, sound, marks on paper, or anything else with a definite spatiotemporal locus.
Note 2: logically linked linear chain acts as a chain or a system of logically linked mnemonic. See example.
Note 3: a closed set means that the parts (radicals) of all vocabulary of a language will not contain any symbol beyond (or outside of) the given root word set.

Law 2: When every natural language is encoded with a universal set of root words, a true Universal Language emerges.
The U(English) is that the natural English being encoded with the PreBabel root word set. And, U(Russian), U(Arabic) or U(Chinese) can also be constructed in the same manner.

Law 3: U(English), U(Russian), U(Arabic), U(Chinese), etc. are dialects of the U(Mother Proper), the PreBabel.

Theorem 1: With law 1 and law 2, any arbitrary vocabulary type of language will become an easy language to learn (as mother tongue or as a second language) by encoding itself with a closed root word set to create a mnemonic chain.

Theorem 2: With law 3, a true auto-translation machine can be built.