A Mathematical Grammar of English by George Hemphill

By George Hemphill

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Francis® takes note of all of the important types of morphophonemic change. In some actual cases, the derived form is so remote from the zero form, in sound or meaning or both, the morphophonemic process so odd, that even after the zero form is given its connection with the derived form is hard to understand. A dictionary explanation is surely required, for example, to show how we get the derived forms {jot} and {tittle} from {iota} and {title}. We can also describe as compound any word (often dimorphemic) which we sense to be molecular though we hesitate to assign argument status to one of its morphemes over another.

In which the subscripted λ'β, μ'β, and v's stand for letters from any convenient alphabet, in which I, m, and η are allowed to vary from zero upward to about ten or twelve in ordinary English, and in which the midline numbers between braces stand for morphemic juncture, a concept related to phonemic juncture but distinct from anything in phonology. When I and η = 0 and m ^ 0, then (VI) represents a simple word. In ordinary English m, varies from one (as in a phonemic spelling of (oh), (awe), (err), viz.

F ¿ F t ( F ¿ F i a ) ) ) . . )3} We write bases or zero forms {a}, first-stage forms {F^a), second-stage forms {F^Fya)}, and so forth. I t is unusual in at least the European languages to find a progression in which η is greater than four or five. A progression from an English zero form {stable} to a sixth-stage form {antidisestablishmentarianism} is of course possible but unusual. Artificially well-ordered forms may, however, be of some practical use taxonomically. Thus, instead of calling a well-known small tree a

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