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Numerical Expressions in Chinese: Syntax and Semantics  

Chuansheng He and Min Zhang

Numerical expressions are linguistic forms related to numbers or quantities, which directly reflect the relationship between linguistic symbols and mathematical cognition. Featuring some unique properties, numeral systems are somewhat distinguished from other language subsystems. For instance, numerals can appear in various grammatical positions, including adjective positions, determiner positions, and argument positions. Thus, linguistic research on numeral systems, especially the research on the syntax and semantics of numerical expressions, has been a popular and recurrent topic. For the syntax of complex numerals, two analyses have been proposed in the literature. The traditional constituency analysis maintains that complex numerals are phrasal constituents, which has been widely accepted and defended as a null hypothesis. The nonconstituency analysis, by contrast, claims that a complex numeral projects a complementative structure in which a numeral is a nominal head selecting a lexical noun or a numeral-noun combination as its complement. As a consequence, additive numerals are transformed from full NP coordination. Whether numerals denote numbers or sets has aroused a long-running debate. The number-denoting view assumes that numerals refer to numbers, which are abstract objects, grammatically equivalent to nouns. The primary issue with this analysis comes from the introduction of a new entity, numbers, into the model of ontology. The set-denoting view argues that numerals refer to sets, which are equivalent to adjectives or quantifiers in grammar. One main difficulty of this view is how to account for numerals in arithmetic sentences.


Idioms and Phraseology  

M. Teresa Espinal and Jaume Mateu

Idioms, conceived as fixed multi-word expressions that conceptually encode non-compositional meaning, are linguistic units that raise a number of questions relevant in the study of language and mind (e.g., whether they are stored in the lexicon or in memory, whether they have internal or external syntax similar to other expressions of the language, whether their conventional use is parallel to their non-compositional meaning, whether they are processed in similar ways to regular compositional expressions of the language, etc.). Idioms show some similarities and differences with other sorts of formulaic expressions, the main types of idioms that have been characterized in the linguistic literature, and the dimensions on which idiomaticity lies. Syntactically, idioms manifest a set of syntactic properties, as well as a number of constraints that account for their internal and external structure. Semantically, idioms present an interesting behavior with respect to a set of semantic properties that account for their meaning (i.e., conventionality, compositionality, and transparency, as well as aspectuality, referentiality, thematic roles, etc.). The study of idioms has been approached from lexicographic and computational, as well as from psycholinguistic and neurolinguistic perspectives.


Meanings of Constructions  

Laura A. Michaelis

Meanings are assembled in various ways in a construction-based grammar, and this array can be represented as a continuum of idiomaticity, a gradient of lexical fixity. Constructional meanings are the meanings to be discovered at every point along the idiomaticity continuum. At the leftmost, or ‘fixed,’ extreme of this continuum are frozen idioms, like the salt of the earth and in the know. The set of frozen idioms includes those with idiosyncratic syntactic properties, like the fixed expression by and large (an exceptional pattern of coordination in which a preposition and adjective are conjoined). Other frozen idioms, like the unexceptionable modified noun red herring, feature syntax found elsewhere. At the rightmost, or ‘open’ end of this continuum are fully productive patterns, including the rule that licenses the string Kim blinked, known as the Subject-Predicate construction. Between these two poles are (a) lexically fixed idiomatic expressions, verb-headed and otherwise, with regular inflection, such as chew/chews/chewed the fat; (b) flexible expressions with invariant lexical fillers, including phrasal idioms like spill the beans and the Correlative Conditional, such as the more, the merrier; and (c) specialized syntactic patterns without lexical fillers, like the Conjunctive Conditional (e.g., One more remark like that and you’re out of here). Construction Grammar represents this range of expressions in a uniform way: whether phrasal or lexical, all are modeled as feature structures that specify phonological and morphological structure, meaning, use conditions, and relevant syntactic information (including syntactic category and combinatoric potential).


Linking Elements in Morphology  

Renata Szczepaniak

Linking elements occur in compound nouns and derivatives in the Indo-European languages as well as in many other languages of the world. They can be described as sound material or graphemes with or without a phonetic correspondence appearing between two parts of a word-formation product. Linking elements are meaningless per definition. However, in many cases the clear-cut distinction between them and other, meaningful elements (like inflectional or derivational affixes) is difficult. Here, a thorough examination is necessary. Simple rules cannot describe the occurrence of linking elements. Instead, their distribution is fully erratic or at least complex, as different factors including the prosodic, morphological, or semantic properties of the word-formation components play a role and compete. The same holds for their productivity: their ability to appear in new word-formation products differs considerably and can range from strongly (prosodically, morphologically, or lexically) restricted to the virtual absence of any constraints. Linking elements should be distinguished from singular, isolated insertions (cf. Spanish rousseau-n-iano) or extensions of one specific stem or affix (cf. ‑l- in French congo-l-ais, togo-l-ais, English Congo-l-ese, Togo-l-ese). As they link two parts of a word formation, they also differ from word-final elements attached to compounds like ‑(s)I in Turkish as in ana‑dil‑i (mother‑tongue‑i) ‘mother tongue’. Furthermore, they are also distinct from infixes, i.e., derivational affixes that are inserted into a root, as well as from confixes, which are for bound, but meaningful (lexical) morphemes. Linking elements are attested in many Indo-European languages (Slavic, Romance, Germanic, Baltic languages, and Greek) as well as in other languages across the world. They seem to be more common in compounds than in derivatives. Additionally, some languages display different sets of linking elements in both compounds and derivatives. The linking inventories differ strongly even between closely related languages. For example, Frisian and Dutch, each of which has five different linking elements, share only two linking forms (‑s- and ‑e-). In some languages, linking elements are homophonous to other (meaningful) elements, e.g., inflectional or derivational suffixes. This is mostly due to their historical development and to the degree of the dissociation from their sources. This makes it sometimes difficult to distinguish between linking elements and meaningful elements. In such cases (e.g., in German or Icelandic), formal and functional differences should be taken into account. It is also possible that the homophony with the inflectional markers is incidental and not a remnant of a historical development. Generally, linking elements can have different historical sources: primary suffixes (e.g., Lithuanian), case markers (e.g., many Germanic languages), derivational suffixes (e.g., Greek), prepositions (e.g., Sardinian and English). However, the historical development of many linking elements in many languages still require further research. Depending on their distribution, linking elements can have different functions. Accordingly, the functions strongly differ from language to language. They can serve as compound markers (Greek), as “reopeners” of closed stems for further morphological processes (German), as markers of prosodically and/or morphologically complex first parts (many Germanic languages), as plural markers (Dutch and German), and as markers of genre (German).