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One of the striking features in modern Newari noun phrases is the wide usage of a set of affixes found in combination with the various elements that may expand a noun into an endocentric construction. At first sight such affixation would appear as a linking device by which the subordinate constituents of a noun phrase are tied to their head noun. Closer investigation, however, reveals a more complex picture which I have attempted to outline in the following paragraphs. The results of this inspection lead to the conclusion that the pattern of affixation displayed in Newari mirrors the close interaction of two converse functional principles: both the syntagmatic function of nominal determination on the one hand and a paradigmatic function – the formation of certain types of lexicalized expressions in Newari – formally tie in with each other by the application of one common technique.
In my paper "Thesen zum Universalienprojekt" (1976) I mention two complementary procedures for discovering language universals: 1. The investigation of the dimensions and principles whose existence is necessitated by the communicative function of language; 2. The development of a formal language in which all syntactic rules are explicitly formulated and in which all syntactic categories are defined by their relation to a minimally necessary number of syntactic categories. Since the first procedure is treated in many of the other papers of this volume, I wish to discuss the role of formal methods in the research of language universals. As an example I want to take the dimensions of determination and show how expressions denoting concepts are modified and turned into reference identifying expressions. There is a general end a specific motivation for the introduction of formal methods into linguistics. The general motivation is to make statements in linguistics as exact and verifiable as they are in the natural sciences. The specific motivation is to make the grammars of various languages comparable by describing them with the same form of rules. The form has to be flexible enough to describe the phenomena of any possible natural language. All natural languages have in common that they may potentially express any meaning. The flexibility of the form of grammatical rules may therefore be attained, if syntactic rules are not isolated from the semantic function they express and syntactic classes are not defined merely by the relative position of their elements in the sentence, but also by the communicative function their elements fulfill in their combination with elements of other classes.
Montague (1974) has shown that this flexibility may be attained by using the language of algebra combined with categorial grammar. Algebraic systems have been developed by mathematicians to model any systems whose operations are definable. Montague does not merely use the tools of mathematics for describing the features of language, but regards syntax, semantics and pragmatics as branches of mathematics. One of the advantages of this approach is that we may apply the laws developed by mathematicians to the systems constructed by linguists for the description and explanation of natural language.
The language of the Cahuillas shows two systems of expressions referring to kinship, which could be termed, respectively, as labeling-relational and as descriptive-establishing. […] Descriptive terms show two properties: 1. They are analysable into constituent elements so as to recognize the connection between the term and the proposition. 2. They are distinguishable from the proposition: a. by a special formal element […], in Cahuilla the absolutive suffix. b. by a narrowing or specialization in the meaning. A term which is not descriptive, i.e. which is not connected with a proposition, I shall call "label", "1abeling": It does not say anything about the object but is assigned to it just as a label is attached to a thing […].