History: Hockett's paper was widely read at the time and later and the title no doubt inspired Chomsky's 1956 paper "Three models for the description of language." (There is a reference to Hockett's paper in Chomsky's 1957 Syntactic Structures.) Hockett was not well-treated in the early days of generative grammar, despite his early openness. [story: more in my Retrospect 2008 talk in a couple of weeks.]
Model 1: Item and Arrangement (IA).The item and arrangement model of Hockett flows directly out of the procedural orientation of (American) structural linguistics, in its heyday around the middle of the last century. By procedural I mean here the emphasis on procedures of analysis: segmentation and classification.History: Zellig Harris's 1952 book Methods in Structural Linguistics (later called just Structural Linguistics) epitomizes the dominant view of the process of linguistic analysis: Harris describes this procedure as a process of segmentation and classification. A central notion was the morpheme understood as the minimal meaningful unit of language. It is probably what you first go with when you teach beginning linguistics, using word-structures as your take-off point. [Story: to be told at my "Great Moments" lecture on April 18.] Under this view, a descriptive grammar is basically a set of lists of "items" -- morphemes and their allomorphs, for example -- together with statements about their distribution. In Hockett's words: "The essence of IA is to talk simply of things and the arrangements in which those things occur." When Hockett wrote the cited paper, this way of treating linguistic structures was dominant in American linguistics.Because of the "building block" nature of the IA model, it was particularly well-suited to the analysis of agglutinative languages, and some writers (Spencer 2004) have called the general program of such approaches "Radical Agglutination." Here's Andrew Spencer on the word cats: In the American Structuralist tradition associated with such authors as Bloomfield, we would say that the forms /cat/ and /s/ are morphemes , the minimal meaningful components of a word. The full semantic characterization of the word results from combining the meaning of the parts.... This way of thinking is crucial to syntactically-based approaches deriving from the proposals of Pollock (1989), and I have called this set of assumptions Radical Agglutination (Spencer 1992). (Spencer 2004: 68.)Curiously, although one might think there was more affinity between classical generative, particularly transformational generative approaches and the Item and Process model to be discussed immediately, the IA assumptions have been dominant early and late in the generative tradition. In the generative tradition this kind of description is realized most consequentially in theories where there is no distinction between basic members of lexical classes and the morphemes that are attached to them both in derivational and in inflectional morphology (Lieber 1992). |
Model 2: Item and Process (IP).The prototype for this sort of description was the kind of grammar that Sapir and his students wrote, going back ultimately to the Sanskrit grammarians. In this model basic lexical items are assigned a special form (root or base). Inflectional and derivational forms are derived by applying various processes to these roots and the further derived forms. Quite regularly the root form may be an abstract form that never exists as a surface form, but is set up to facilitate the statement of the various processes that might apply to get surface forms. Very often in a descriptive grammar and dictionary the citation form is chosen for convenience, say as the nominative singular form of a noun, or the first or third person singular or infinitive form of a verb. |
Interlude: a comparison of IA and IP treatments of reduplication. The basically IA nature of the generative tradition of morphology can be easily seen in the treatment of reduplication. Reduplicative patterns are treated as items, that is morphemes, like any others except in their segmental content: CV-, CVC- and the like are examples of prefixes, just like re-, en- and so on. An IP treatment would spell out operations based on root or base shapes. One pattern of reduplication in Haisla goes like this: Given a root of the form C1VC2X, make an extension of the form C1iC1VC2H, for example: begʷanem `person' ==> bibegʷanem `people' The item and arrangement treatment (as in Marantz, 1982) would simply treat the preposed bit as a prefix Ci- (with prespecified i and then appeal to spreading of some sort to link the C to the first C of the host. An IP account would specify some formal operation corresponding to this: "copy the first consonant (or possibly onset) of the root followed by i and prefix to the root." |
Model 3: Word and Paradigm (WP). |
| Hockett mentions the model called then and since Word and Paradigm (WP) and opines that it deserved as full a treatment as the other two models that were focussed on in his paper. In recent years, the model has come to the fore quite a bit. (Matthews 1974 and 1991 are primary references; Spencer 2004 is a good fairly recent discussion, as is Blevins 2006.) Basic to the approach is the rejection of any attempt to build up the form and meaning of words accretively, whether by agglutinative means or by applying processes to bases or roots. We will return to the WP way of looking at morphology as we go along. As to semantics, one firm assumption of WP theories is that words -- not morphemes -- have meaning, and hence would be the basis for any recursive specification of interpretations. |
Model 4: Construction Grammar (ConstG)This model has been increasingly influential in the last decade. The basic idea is that a language can be best characterized as a collection of constructions. Emphasis is on idiosyncratic form and meaning combinations. Goldberg's books (1995, 2006) are basic references. The approach has its modern roots in work by Charles Fillmore and Paul Kay, and is related to Cognitive Grammar (G. Lakoff, Ronald Langacker). Formal assumptions about the model have relied (recently at least) on HPSG implementations. |
Caveat emptor! Invocations of the history of our discipline often serve a justificational goal, rather than a sober historiographical purpose. In particular, when a linguist cites the evils or virtues of some previous era, follow Jim McCawley's advice about mentions of ¡¡EXPLANATION!!: put your hand on your wallet! And my advice: read the originals!
Excursus: My implementation of categorial grammar in Scheme (Lisp) uses indexed labels to carry the feature values of the grammar as an item is built up. The indexed labels then correspond to occurrences of the various categories. Relative to a derivation then the indexed labels together with the identifiers of the lexical items can be thought of as the identifiers of the k-tuples.
If α ∊ PT and β ∊ PIV then γ16(α, &beta) ∊ Pt, where γ16(x,y) is the result of concatenating x with the third-person singular form of y. Let τ(z) stand for the translation of z, then &tau(γ16(α,β)) = τ(α)(^τ(β)) [if I got all that right!]The proper treatment of this rule in ordinary English might look like this: Put the subject termphrase (in the nominative case) in front of the tensed (intransitive) verb phrase and let the tensed verbphrase agree with the subject in person and number. Note that this is more general, in that Montague simplified by just treating singular terms, as number was not pertinent to his interests in developing this fragment. Montague (if I recall correctly) did not spell out adequately what it was to make "the third person singular" of an IVP in two respects: the structural location of the verb in the IVP, the problems of conjoined IVP's (I think he gave a condition by picking out "the first verb" or the like).
In English: the denotation of the result of the rule is the application of the denotation of the subject to the intension of the denotation of the predicate.
Mapping from syntax to semantics; for a start we will take the usual one, with one possible special wrinkle: Take the model structure as including:Categories
:The more or less usual way to do this in categorial grammars is like this: Abbreviations: write (a/b) for < b, a; RCON >
- BCAT = {n, s, w}
basic categories;- Γ = {LCON, RCON, UP, LWRAP, RWRAP,...}
UP is used for category changing rules which have no affect on the phonology or orthography; i-place operations for i = 1, 2 (,...)- BCAT ⊆ CAT
This needs discussion (later) on the relation between lexical categories and syntactic categories;- if α, &beta ∊ CAT and γ is a one or two-place operation in Γ, then < α, β; γ > ∊ CAT
if there are i-place operations for i > 2 then add them here- that's it!
write (b\a) for < b, a; LCON >
suppress outermost parentheses
NB: using fractional rather than argument last notation!
That is: FA schemata: a/b b ==> a
b b\a ==> a
ARG-last version: a/b b ==> a
b a\b ==> a
These languages are really different.
Bob Levine (P.C., some time ago)
Some language families and languages of the area (Alaska to northern Washington):
Some favourite sounds and features:
stops: pʼ tʼ kʼ qʼ ƛʼ vs p t k q ƛ
(common) and b d g ḡ λ (Haisla, uncommon)
sonorants: mʼ nʼ lʼ wʼ yʼ (scattered:
Wakashan, Salishan)
fricatives: xʼ xʼ łʼ (rare: Tlingit)
g k x vs. ḡ (g) q (k) x̄ (x)
Excursus: on hyphens (cf SSILA bulletin a few years ago).Haisla (from a text by Jeffrey L Legaic):