We have more than once referred to the “elements of speech,” by which we understood, roughly speaking, what are ordinarily called “words.” We must now look more closely at these elements and acquaint ourselves with the stuff of language. The very simplest element of speech—and by “speech” we shall henceforth mean the auditory system of speech symbolism, the flow of spoken words—is the individual sound, though, as we shall see later on, the sound is not itself a simple structure but the resultant of a series of independent, yet closely correlated, adjustments in the organs of speech. And yet the individual sound is not, properly considered, an element of speech at all, for speech is a significant function and the sound as such has no significance.
It happens occasionally that the single sound is an independently significant element (such as French a “has” and à “to” or Latin i “go!”), but such cases are fortuitous coincidences between individual sound and significant word. The coincidence is apt to be fortuitous not only in theory but in point of actual historic fact; thus, the instances cited are merely reduced forms of originally fuller phonetic groups Latin habet and ad and Indo-European ei respectively. If language is a structure and if the significant elements of language are the bricks of the structure, then the sounds of speech can only be compared to the unformed and unburnt clay of which the bricks are fashioned. In this chapter we shall have nothing further to do with sounds as sounds.
The true, significant elements of language are generally sequences of sounds that are either words, significant parts of words, or word groupings. What distinguishes each of these elements is that it is the outward sign of a specific idea, whether of a single concept or image or of a number of such concepts or images definitely connected into a whole. The single word may or may not be the simplest significant element we have to deal with. The English words sing, sings, singing, singer each conveys a perfectly definite and intelligible idea, though the idea is disconnected and is therefore functionally of no practical value.
We recognize immediately that these words are of two sorts. The first word, sing, is an indivisible phonetic entity conveying the notion of a certain specific activity. The other words all involve the same fundamental notion but, owing to the addition of other phonetic elements, this notion is given a particular twist that modifies or more closely defines it. They represent, in a sense, compounded concepts that have flowered from the fundamental one. We may, therefore, analyze the words sings, singing, and singer as binary expressions involving a fundamental concept, a concept of subject matter (sing), and a further concept of more abstract order—one of person, number, time, condition, function, or of several of these combined.
If we symbolize such a term as sing by the algebraic formula A, we shall have to symbolize such terms as sings and singer by the formula A + b. 1The element A may be either a complete and independent word (sing) or the fundamental substance, the so-called root or stem 2 or “radical element” (sing-) of a word. The element b (-s, -ing, -er) is the indicator of a subsidiary and, as a rule, a more abstract concept; in the widest sense of the word “form,” it puts upon the fundamental concept a formal limitation. We may term it a “grammatical element” or affix. As we shall see later on, the grammatical element or the grammatical increment, as we had better put it, need not be suffixed to the radical element. It may be a prefixed element (like the un- of unsingable), it may be inserted into the very body of the stem (like the n of the Latin vinco “I conquer” as contrasted with its absence in vici “I have conquered”), it may be the complete or partial repetition of the stem, or it may consist of some modification of the inner form of the stem (change of vowel, as in sung and song; change of consonant as in dead and death; change of accent; actual abbreviation).
Each and every one of these types of grammatical element or modification has this peculiarity that it may not, in the vast majority of cases, be used independently but needs to be somehow attached to or welded with a radical element in order to convey an intelligible notion. We had better, therefore, modify our formula, A + b, to A + (b), the round brackets symbolizing the incapacity of an element to stand alone. The grammatical element, moreover, is not only non-existent except as associated with a radical one, it does not even, as a rule, obtain its measure of significance unless it is associated with a particular class of radical elements.
Thus, the -s of English he hits symbolizes an utterly different notion from the -s of books, merely because hit and book are differently classified as to function. We must hasten to observe, however, that while the radical element may, on occasion, be identical with the word, it does not follow that it may always, or even customarily, be used as a word.
Thus, the hort- “garden” of such Latin forms as hortus, horti, and horto is as much of an abstraction, though one yielding a more easily apprehended significance, than the -ing of singing. Neither exists as an independently intelligible and satisfying element of speech. Both the radical element, as such, and the grammatical element, therefore, are reached only by a process of abstraction. It seemed proper to symbolize sing-er as A + (b); hort-us must be symbolized as (A) + (b).
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