Term for "having terms for everything"
Playing Adam -- Taxing my memory of Genesis, wasn't one of the first tasks that Adam undertook to name all the things of the world?
Otherwise, taxonomy is the practice and science of classification (i.e. organizing the nomenclature) Clearly the goal of the science would be to name everything and have them be in their proper order.
Nomenclature is the system of names, where as taxonomy is the application and organization of nomenclature according to scientific principles. Taxonomy requires scientific testing and process, whereas nomenclature is more bibliographic/legal in nature.
The term you could be looking for is Neologism 2.:
noun
a new word, meaning, usage, or phrase.
the introduction or use of new words or new senses of existing words.
a new doctrine, especially a new interpretation of sacred writings.
Psychiatry. a new word, often consisting of a combination of other words, that is understood only by the speaker: occurring most often in the speech of schizophrenics.