ACL-OCL / Base_JSON /prefixY /json /Y13 /Y13-1002.json
Benjamin Aw
Add updated pkl file v3
6fa4bc9
{
"paper_id": "Y13-1002",
"header": {
"generated_with": "S2ORC 1.0.0",
"date_generated": "2023-01-19T13:32:32.351587Z"
},
"title": "Unification of Numeral Classifiers and Plural Markers: Empirical Facts and Implications",
"authors": [
{
"first": "Yun-Ru",
"middle": [],
"last": "Chen",
"suffix": "",
"affiliation": {
"laboratory": "",
"institution": "Graduate Institute of Linguistics National Chengchi University Taipei",
"location": {
"country": "Taiwan"
}
},
"email": ""
}
],
"year": "",
"venue": null,
"identifiers": {},
"abstract": "The use of an obligatory numeral classifier (C) on N in general does not co-occur with mandatory plural marking (PM) (Greenberg 1990[1972], Sanches and Slobin 1973). Borer (2005) and Her (2012a) take this generalization further and see Cs and PMs as the same category. This unification implies that C/PM are mutually exclusive on N. In this paper, we first provide a mathematical foundation for this unification, i.e., C/PM both function as a multiplicand with the precise value of 1 (Her 2012a), and then explore empirically to what extent C/PM's complimentary distribution is borne out. We obtain from the WALS database a total of 22 languages with both Cs and PMs, including Mandarin, Japanese, and Vietnamese. Our survey finds C/PM co-occurring on N in 11 languages. We then set out to formally account for the unification of C/PM and explain its exceptions, taking Mandarin as an example, with a double-headed classifier construction. This study thus adds merit to the unification of C/PM and concludes with its implication on a universal lexical count/mass distinction.",
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"paper_id": "Y13-1002",
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"abstract": [
{
"text": "The use of an obligatory numeral classifier (C) on N in general does not co-occur with mandatory plural marking (PM) (Greenberg 1990[1972], Sanches and Slobin 1973). Borer (2005) and Her (2012a) take this generalization further and see Cs and PMs as the same category. This unification implies that C/PM are mutually exclusive on N. In this paper, we first provide a mathematical foundation for this unification, i.e., C/PM both function as a multiplicand with the precise value of 1 (Her 2012a), and then explore empirically to what extent C/PM's complimentary distribution is borne out. We obtain from the WALS database a total of 22 languages with both Cs and PMs, including Mandarin, Japanese, and Vietnamese. Our survey finds C/PM co-occurring on N in 11 languages. We then set out to formally account for the unification of C/PM and explain its exceptions, taking Mandarin as an example, with a double-headed classifier construction. This study thus adds merit to the unification of C/PM and concludes with its implication on a universal lexical count/mass distinction.",
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"section": "Abstract",
"sec_num": null
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"body_text": [
{
"text": "and Sanches and Slobin (1973) made the initial observation that languages with obligatory numeral classifiers (Cs) on nouns do not have compulsory morphological marking of nominal plurality, and vice versa. This generalization has been supported by a number of researchers, e.g., Tsuo (1976) , Borer (2005) , Her (2012a) , Doetjies (2012), among others. To explain this generalization, Greenberg (1972) links the emergence of Cs in a language to its loss of plural markers (PMs), and as Peyraube (1998) observes, this is true for the rise of Cs in Chinese.",
"cite_spans": [
{
"start": 4,
"end": 29,
"text": "Sanches and Slobin (1973)",
"ref_id": "BIBREF47"
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"start": 280,
"end": 291,
"text": "Tsuo (1976)",
"ref_id": null
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{
"start": 294,
"end": 306,
"text": "Borer (2005)",
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{
"start": 309,
"end": 320,
"text": "Her (2012a)",
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{
"start": 386,
"end": 402,
"text": "Greenberg (1972)",
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"text": "Peyraube (1998)",
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"section": "Introduction",
"sec_num": "1"
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{
"text": "However, this generalization is noncommittal on the complimentary distribution of Cs and PMs, as it says nothing about the cases where either C or PM is optional. Borer (2005:94) and Her (2012a Her ( :1682 ) take this generalization further and claim that Cs and PMs are the same category. The -s suffix in English, for example, applicable to all count nouns, is seen as a general classifier, similar to the Chinese ge in (1a) (Her 2012a (Her :1682 ; the two thus share the same constituent structure, as in (2).",
"cite_spans": [
{
"start": 163,
"end": 178,
"text": "Borer (2005:94)",
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"start": 183,
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"text": "Her (2012a",
"ref_id": "BIBREF32"
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"start": 194,
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"text": "Her ( :1682",
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"text": "(Her 2012a",
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"text": "(Her :1682",
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"section": "Introduction",
"sec_num": "1"
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"text": "(1) a. \u4e09 \u500b \u676f\u5b50 san ge beizi 3 C cup b. three cups The C/PM unification predicts the two to be in complimentary distribution on N. Yet, it does not preclude the scenario where the two coexist in a language but do not co-occur on N. The first objective of this paper is purely empirical: to identify to what extent these two predictions are borne out. We then set out to account for the general pattern of distribution between Cs and PMs across languages as well as the exceptional cases where C/PM do co-occur on N. The paper is organized as follows. Section 2 offers a mathematical interpretation of Cs and PMs as the functional basis for their unification. Section 3 then obtains from the WALS database 22 languages that employ Cs and PMs and examines the distribution of the two on N in each language. Section 4 consists of discussions of the empirical facts obtained in the previous section and offers a formal syntactic account of Mandarin C/PM cooccurrence. Section 5 examines the implication that C/PM unification has on the controversy of count/mass distinction in languages. Section 6 concludes the paper.",
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"section": "Introduction",
"sec_num": "1"
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"text": "In classifier languages, the C position in relation to a numeral (Num) and N can also be occupied by a measure word (M). Her and Hsieh (2010) and Her (2012b) demonstrate that, while C/M belong to the same category, they differ semantically. Specifically, while M is semantically substantive, C is semantically null, in the sense that it does not contribute any additional semantic information to N that N does not already have. Thus, if the grammatically required C is omitted for stylistic considerations, the meaning is not affected, as in (3), taken from Her (2102b Her ( :1219 ).",
"cite_spans": [
{
"start": 65,
"end": 70,
"text": "(Num)",
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"start": 121,
"end": 141,
"text": "Her and Hsieh (2010)",
"ref_id": "BIBREF34"
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"start": 146,
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"text": "Her (2012b)",
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"start": 558,
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"text": "Her (2102b",
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"section": "Unification of Cs and PMs",
"sec_num": "2"
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"text": "(3) \u4e94 (\u5f35) \u9905 \u4e8c (\u689d) \u9b5a wu zhang bing er tiao yu 5 C loaf 2 C fish '5 loaves and 2 fish.' Based on the insight from Greenberg (1990 Greenberg ( [1972 :172), Au Yeung (2005), and Yi (2011), Her (2012a) proposes to account for C's semantic redundancy mathematically in seeing [Num C] as [n\u00d71] . In a multiplicative operation, for a multiplicand to be null, its value can only be 1. This view unifies all Cs under the concept of a multiplicand with the precise value of 1. 1 To illustrate, (3) can be seen mathematically as (4).",
"cite_spans": [
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"start": 112,
"end": 127,
"text": "Greenberg (1990",
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{
"start": 128,
"end": 145,
"text": "Greenberg ( [1972",
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{
"start": 270,
"end": 286,
"text": "[Num C] as [n\u00d71]",
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"section": "Unification of Cs and PMs",
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"text": "(4) [[5 (\u00d71) ",
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{
"start": 4,
"end": 12,
"text": "[[5 (\u00d71)",
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"section": "Unification of Cs and PMs",
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"text": "] loaf] (+) [[2 (\u00d71)] fish]",
"cite_spans": [],
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"section": "Unification of Cs and PMs",
"sec_num": "2"
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"text": "Having established Cs as the multiplicand 1 entering a multiplicative relation with Num as the multiplier in [Num C N], we now compare the Chinese example in (1a), repeated in (5), with its English counterpart in (6): the only difference is that Chinese employs a C and English uses a PM -s, which can also be seen as the multiplicand 1.",
"cite_spans": [],
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"section": "Unification of Cs and PMs",
"sec_num": "2"
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"text": "(5) Chinese: [[3 \u00d7 1] cup] = [3 ge beizi] (6) English: [[3 \u00d7 1] cup] = [3 -s cup]",
"cite_spans": [],
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"section": "Unification of Cs and PMs",
"sec_num": "2"
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"text": "Surface word orders set aside, the two languages are identical in their nominal expressions with numerals, if C ge and PM -s are taken to be the two sides of the same coin. Indeed, like Chinese C, which is generally required, the generally required -s can be omitted without affecting the meaning. Thus, though (7a) is ill-formed in an argument position, its meaning is unmistakable. Also, in some languages, e.g., Hungarian, Tibetan, Archaic Chinese, among others, the counterpart of (7a) is well-formed in argument positions. Likewise in (7b), three-cup, well-formed as a modifier, still has the plural reading. And then, there are cases like those in (7c), where the omission of -s is obligatory, but a plural reading still must obtain. Note also that PM -s is still required when Num's value is smaller than 1, and thus not 1, e.g., 0.5 apples and 0 apples and not *0.5 apple and *0 apple, indicating that -s here has little to do with plurality. The PM -s thus serves the same function as a general C in highlighting the discreteness or countability of N. However, there is a caveat: PM -s is not allowed when Num has the value of 1, as in 8, and yet, the counterpart C ge in Chinese is well-formed.",
"cite_spans": [],
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"section": "Unification of Cs and PMs",
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"text": "(8) He bought one cup(*s). (9) Ta mai-le (yi) ge beizi.",
"cite_spans": [],
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"section": "Unification of Cs and PMs",
"sec_num": "2"
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"text": "he bought 1 C cup 'He bought a cup.' Her (2012a:1682) offers an explanation likewise based on mathematics. In [1\u00d71], either the multiplier (Num) or the multiplicand (C/PM) can be omitted without changing the result. Both options are found in languages. As seen in (10a), in Chinese Num is optionally omitted, but only when its value is 1; in contrast, in Persian, when Num is 1, it is obligatorily omitted, as in (10b) (Gebhardt 2009:212) . In Khasi, an Austro-Asiatic language in India, when Num is 1, it is C that is obligatorily omitted, as in (10c) (Temsen 2007: 6) ; the same is true in Tat (Greenberg, 1990 (Greenberg, [1972 :168), Amis, a Formosan language (Tang 2004:389) , and Tetun, an Austronesian language (van Klinken, 1999) . English, shown in (10d), is thus rather like Khasi; the only difference is that the multiplicand 1 is expressed as PM in English, C in Khasi. Incidentally, Indonesian is interesting in that the generally optional C is obligatory with the numeral 1 (Sneddon 1996) .",
"cite_spans": [
{
"start": 419,
"end": 438,
"text": "(Gebhardt 2009:212)",
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{
"start": 553,
"end": 569,
"text": "(Temsen 2007: 6)",
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{
"start": 596,
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"text": "(Greenberg, 1990",
"ref_id": "BIBREF28"
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"start": 613,
"end": 630,
"text": "(Greenberg, [1972",
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"text": "(Tang 2004:389)",
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"text": "(van Klinken, 1999)",
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"text": "(Sneddon 1996)",
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"section": "Unification of Cs and PMs",
"sec_num": "2"
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"text": "(10) Options of Num, Num=1 a. Chinese [[1 \u00d7 1] cup] = [(1) C cup] b. Persian [[1 \u00d7 1] cup] = [*1 C cup] c. Khasi [[1 \u00d7 1] cup] = [ 1 *C cup] d. English [[1 \u00d7 1] cup] = [ 1 *-s cup]",
"cite_spans": [],
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"section": "Unification of Cs and PMs",
"sec_num": "2"
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"text": "To summarize, Cs and PMs can be unified under the view that they both enter into a multiplicative relation with Num and function as a multiplicand with the precise value of 1, which explains why both are semantically superfluous.",
"cite_spans": [],
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"section": "Unification of Cs and PMs",
"sec_num": "2"
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"text": "The unification of Cs and PMs as the same category means that they occupy the same syntactic position and share the same constituency structure. Consequently, Cs and PMs must be mutually exclusive on N. Yet, there has not been any serious attempt in finding out to what extent this prediction is borne out empirically. In the World Atlas of Language Structures (WALS) database, there are two studies that may shed light on this very issue, though indirectly: looks at 400 languages and found Cs in 140, and examines 291 languages and 163 have PMs. What interests us is that 114 languages are covered in both studies, as shown in Table 1 .",
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{
"start": 629,
"end": 636,
"text": "Table 1",
"ref_id": null
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"section": "Potential Exceptions in 22 Languages",
"sec_num": "3"
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"text": "Out of the 114, only 8 are without Cs and PMs, which will be examined in Section 5. The majority employs PMs only, while 4 employ Cs only. Cs and PMs thus do seem to be largely complimentarily distributed in languages. However, 22 languages have both, as seen in Table 2 .",
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"start": 263,
"end": 270,
"text": "Table 2",
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"section": "Table 1. C/PM Distribution in 114 languages",
"sec_num": null
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"text": "The 4 languages with obligatory Cs and PMs, if confirmed, are certain challenges, as C/PM cooccurring on N is certain. Yet, in fact all 22 languages may present problems for C/PM unification, if C and PM co-occur on N, whether optionally or obligatorily. In 3.1 are listed the 11 languages where Cs and PMs are found to be in complimentary distribution, and 3.2 presents the 11 languages that do allow Cs and PMs to cooccur on N.",
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"section": "Table 2. Cs and PMs in 22 languages",
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"text": "Garo (Tibeto-Burman): optional Cs and PMs, PMs not used where numerals denote plurality (Burling 1961, p.c.) .",
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{
"start": 88,
"end": 108,
"text": "(Burling 1961, p.c.)",
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"section": "C/PM mutually exclusive",
"sec_num": "3.1"
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"text": "Indonesian: optional Cs and optional PM by way of reduplication (Sneddon 1996) , does not allow C/PM co-occurrence (Johnny Lee, p.c.).",
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"start": 64,
"end": 78,
"text": "(Sneddon 1996)",
"ref_id": "BIBREF49"
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"sec_num": "3.1"
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"text": "Kham (Tibetan): obligatory PM on all Ns, but the putative Cs are in fact 'not true classifiers in the classical sense defined by Greenberg (1972) and others..' (Watters, 2002:180) .",
"cite_spans": [
{
"start": 129,
"end": 145,
"text": "Greenberg (1972)",
"ref_id": "BIBREF28"
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"start": 160,
"end": 179,
"text": "(Watters, 2002:180)",
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"text": "Jacaltec (a Mayan language of Guatemala): obligatory Cs and an optional PM on all Ns. However, we suspect that the putative PM heb' is an adjective or quantifier (see the discussions of Mokilese and Vietnamese below), not a morphological PM. See (11). (11) ca-wan heb' naj winnaj 2-NumCL PL C man 'the 2 men' (Craig, 1986:246) Mokilese (Micronesian): plurality marked on the determiner, not N (Harrison, 1976) , no C/PM co-occurrence on N (Doetjes 2012).",
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{
"start": 309,
"end": 326,
"text": "(Craig, 1986:246)",
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"start": 393,
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"text": "(Harrison, 1976)",
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"section": "C/PM mutually exclusive",
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"text": "Teribe (a Chibchan language of Panama): obligatory Cs, optional PMs, do not co-occur (Quesada, 2000) .",
"cite_spans": [
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"start": 85,
"end": 100,
"text": "(Quesada, 2000)",
"ref_id": null
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"section": "C/PM mutually exclusive",
"sec_num": "3.1"
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"text": "Tetun (an Austronesian language of Timor): optional Cs and an optional PM on all Ns (van Klinken et al, 2002) , no examples of the two cooccurring (John Hajek, p.c.) .",
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{
"start": 84,
"end": 109,
"text": "(van Klinken et al, 2002)",
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"start": 147,
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"text": "(John Hajek, p.c.)",
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"section": "C/PM mutually exclusive",
"sec_num": "3.1"
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"text": "Tuvaluan (an Austronesian language of Tuvalu): some classifier-like elements, which led to its inclusion by Gil (2005) . Yet, Besnier (2000:367) is emphatic that 'Polynesian languages do not have classifier systems, and Tuvaluan is no exception.'",
"cite_spans": [
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"start": 108,
"end": 118,
"text": "Gil (2005)",
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"section": "C/PM mutually exclusive",
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"text": "Turkish: optional Cs and PMs (Kornfilt, 1997; G\u00f6ksel and Kerslake, 2011) , no C/PM cooccurrence on N (Jaklin Kornfilt, p.c.).",
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"start": 29,
"end": 45,
"text": "(Kornfilt, 1997;",
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"start": 46,
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"text": "G\u00f6ksel and Kerslake, 2011)",
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"section": "C/PM mutually exclusive",
"sec_num": "3.1"
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"text": "Ulithian (Austronesian): obligatory Cs, but plurality is marked on demonstratives, not on Ns (Lynch et al, 2002) .",
"cite_spans": [
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"start": 93,
"end": 112,
"text": "(Lynch et al, 2002)",
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"section": "C/PM mutually exclusive",
"sec_num": "3.1"
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"text": "Vietnamese: obligatory Cs, optional PMs on all Ns. Note, however, that the so-called 'pluralizers' or 'plural markers' are in fact quantifiers, not morphological PMs on N, and carry various explicit quantifier meanings and (in)definiteness (Thompson, 1965:180; Schachter, 1985:38) . See (12).",
"cite_spans": [
{
"start": 240,
"end": 260,
"text": "(Thompson, 1965:180;",
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"start": 261,
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"text": "Schachter, 1985:38)",
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"text": "(12) c\u00e1c con ng\u1ee7\u0323 a \u0111en PL-def C horse black 'the black horses' (Nguyen 2004:18) ",
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{
"start": 64,
"end": 80,
"text": "(Nguyen 2004:18)",
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"section": "C/PM mutually exclusive",
"sec_num": "3.1"
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"text": "For each the 11 languages where Cs and PMs cooccur on N, a reference and an example are given.",
"cite_spans": [],
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"section": "C/PM not mutually exclusive",
"sec_num": "3.2"
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"text": "Ainu (an indigenous language of Hokkaido): optional Cs and an optional PM for all Ns (Bugaeva, 2012) (13) okkaypo utar tu-n young.man PL 2-C 'these 2 young men' (Anna Bugaeva, p.c.) Belhare (a Kiranti language of Nepal): obligatory Cs and optional PM on inanimate Ns. (14) sip-pa\u014b ma\u0294i-chi 2-C person-PL '2 people' (Bickel 2003:563) Chantyal (an endangered language of Nepal): optional Cs and an optional PM for all Ns.",
"cite_spans": [
{
"start": 167,
"end": 181,
"text": "Bugaeva, p.c.)",
"ref_id": null
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{
"start": 315,
"end": 332,
"text": "(Bickel 2003:563)",
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"section": "C/PM not mutually exclusive",
"sec_num": "3.2"
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"text": "(15) tin-ta j\u0259mm\u0259y naku-ma 3-C all dog-PL 'all 3 dogs' (Noonan 2003:318) Hatam (West Papuan): optional Cs and PMs. (16) di-kindig-bat-nya i-bou can 1sg-brother-COLL-PL 3PL-C 2 'my 2 brothers' (Reesink 1999:83) Hungarian: optional Cs, PMs obligatory on all Ns but do not co-occur with numerals. 17 that-student-PL 3-C came 'The 3 students came' (Amazaki, 2005:224) Kathmandu Newar (Tibeto-Burman): obligatory Cs and PMs on animate Ns. (21) nya-mh\u0259 pasa-p\u1fd6:",
"cite_spans": [
{
"start": 55,
"end": 72,
"text": "(Noonan 2003:318)",
"ref_id": null
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{
"start": 192,
"end": 209,
"text": "(Reesink 1999:83)",
"ref_id": null
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"start": 344,
"end": 363,
"text": "(Amazaki, 2005:224)",
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"section": "C/PM not mutually exclusive",
"sec_num": "3.2"
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"text": "5-C friend-PL '5 friends.' (Hale and Shrestha 2006:93) Khmer (Austroasiatic and official language of Cambodia): optional Cs and an optional PM on all Ns (Gilbert, 2008; Gorgoniyev, 1966) . (22) proas (proas) bei nak man-man 3 C '3 men' (Soksan Ngoun, p.c.)",
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"start": 27,
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"text": "(Hale and Shrestha 2006:93)",
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"start": 153,
"end": 168,
"text": "(Gilbert, 2008;",
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"start": 169,
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"sec_num": "3.2"
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"text": "Mandarin: obligatory Cs and an optional PM for human Ns. (23) san wei laoshi-men 3 C teacher-PL '3 teachers' (Her 2012a) Nivk (language isolate of Siberia): obligatory Cs and optional PMs on all Ns. (24) ku-umguo \u0281la-gu men that-girl-PL 2 C 'those 2 girls' (Panfilov 1962:158) Taba (Austronesian): obligatory Cs and an optional PM on human Ns.",
"cite_spans": [
{
"start": 109,
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"text": "(Her 2012a)",
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"start": 257,
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"text": "(25) mapin-ci mat-tol woman-PL C-3 '3 women' (Bowden 2001:256) ",
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"start": 45,
"end": 62,
"text": "(Bowden 2001:256)",
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"text": "These 11 languages present a significant challenge to the unification of C/PM; however, a thorough and comprehensive examination of all 11 cases is clearly too wide in scope for the present paper. We thus focus on Mandarin, a quintessential classifier language believed to have the largest inventory of Cs (T'sou, 1976) .",
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{
"start": 306,
"end": 319,
"text": "(T'sou, 1976)",
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"section": "A Formal Account for Mandarin",
"sec_num": "4"
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"text": "Traditionally it has been claimed that C/PM do not co-occur on N in Mandarin. However, recent data from corpus and the Internet indicate that C and -men, a PM for human nouns, do co-occur, indicating variation in grammaticality judgment among Mandarin speakers (e.g., Her 2012a). To explain this C/PM co-occurrence, we propose a formal account with the following grammatical characterizations. With that, we account for (27) with the structure and derivation in (28). The suffix -men attracts N to raise to CL. Given that -men carries a definite reading (e.g., Huang et al, 2009:8.4 .1), the N-men phrase thus raises to Num and then to D to fill the empty heads. Finally, for the co-occurrence of C and-men, it should be noted that any analysis proposed should ideally reflect its marked nature, as C/PM co-occurring on N is clearly the exception, not the norm. An example is given in (37), the derivation of which is illustrated in (38a-c). Note the difference between (38) and (31); the latter is without -men and thus without DP.",
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"start": 561,
"end": 582,
"text": "Huang et al, 2009:8.4",
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"text": "(37) san wei laoshi (-men) 3 C teacher-PL '(the) 3 teachers' What's marked about the structure is that CL is double-headed, with a C and a PM, each undergoing its normal derivation. In (38c), the Num-C phrase thus raises to D to fill its empty head for definiteness, the only compatible reading with the CLP due to -men. Thus, the DP structure of (38) remains the same with an overt D, e.g., zhe 'the'. The double-headed CL is independently motivated by the so-called 'CL copying construction', coined by Zhang (2013:169) . Two examples are given in (39), and the proposed derivation of (39a) in (40), which, like (30) and unlike (37) with -men, is a NumP.",
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{
"start": 20,
"end": 26,
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"text": "(39) a. san duo hua (-duo) 3 C flower-C '3 flowers' b. san pi ma (-pi) 3 C horse-C '3 horses' There is also cross-linguistic evidence of double-headedness, e.g., appositional compounds (woman doctors, women doctor) (Bresnan, 2001) , the double-headed VV structures in Classical Chinese (Feng 2002) , and a double-headed verbal phrase structure for serial verb constructions in some African languages (e.g., Baker, 1989; Hiraiwa and Bodomo, 2008; Aboh, 2009) .",
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"start": 20,
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"start": 215,
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"start": 286,
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"text": "(Feng 2002)",
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"start": 407,
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"text": "Baker, 1989;",
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"start": 420,
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"text": "Hiraiwa and Bodomo, 2008;",
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"text": "The discussions thus far indicate that Cs and PMs are two typological choices serving the same cognitive function of highlighting the discrete or count nature of a noun. In other words, the existence of C/PM in a language entails a count/mass distinction in that language. Thus, to the extent that C/PM is universal, so is the count/mass distinction. The C/PM unification thus supports Yi's (2009 Yi's ( , 2011 and Her's (2012a) rejection of the thesis that classifier languages, unlike PM languages, have no count nouns, a thesis held prominently by Quine (1969b:35ff) , Allan (1977) , Krifka (1995) , and Chierchia (1998) , among others. This leaves us with two issues to explore further. First, is the count/mass distinction made universally at the lexical or syntactic level? Second, is there any evidence for the count/mass distinction in languages without C/PM?",
"cite_spans": [
{
"start": 386,
"end": 396,
"text": "Yi's (2009",
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"start": 397,
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"text": "Yi's ( , 2011",
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"start": 415,
"end": 428,
"text": "Her's (2012a)",
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"start": 551,
"end": 569,
"text": "Quine (1969b:35ff)",
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"start": 572,
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"section": "Implication on the Count/Mass Issue",
"sec_num": "5"
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"text": "Borer (2005) contends that all nouns in all languages are mass at the lexical level and a count/mass distinction only exists at the syntactic level, i.e., a noun is count only when it appears as the complement in the syntactic configuration projected by C/PM. Her view is based primarily on data showing fairly robust convertibility between putative count nouns and mass nouns in English, as in (41) and (42).",
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"start": 6,
"end": 12,
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"text": "(41) A wine/wines, a love/loves, a salt/salts (on count reading) (42) There is dog/stone/chicken on the floor (on mass reading)",
"cite_spans": [],
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"text": "Borer's view thus predicts that all putative mass nouns can be marked with a PM and be coerced into count, as in (41), and in the case of classifier languages, all putative mass nouns can appear with a C and thus turn into count. But this prediction is too strong to be true. The problem is easily solved, however, if the traditional view is adopted, where a count/mass distinction is made at the lexical level.",
"cite_spans": [],
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"section": "Syntactic or lexical distinction",
"sec_num": "5.1"
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"text": "Given the lexical count/mass distinction in languages with C/PM and the fact that the majority of the world's languages have either Cs or PMs or both (again, see Table 1 , repeated below), the implication is that the count/mass distinction is universal.",
"cite_spans": [],
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"start": 162,
"end": 169,
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"section": "Languages without C/PM",
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"text": "Out of the 114 languages covered by both and , only 8 are without C/PM. Early Archaic Chinese is another example. Since grammatically, count nouns, by definition, can be counted without the help a measure word, a language must logically have numerals, count quantifiers, e.g., several and many, or count determiners, e.g., these and those, for it to have count nouns. So, we shall have a closer look at the numeral systems in these 8 languages and Early Archaic Chinese. The nine languages are divided into two groups, those PM\u00d7 PM\u221a C\u00d7 8 80 C\u221a 4 22",
"cite_spans": [],
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"section": "Table 1. C/PM Distribution of in 114 languages",
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"text": "with restricted numerals only and those with a (semi-)productive system.",
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"section": "Table 1. C/PM Distribution of in 114 languages",
"sec_num": null
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"text": "Group 1: restricted numerals Imonda, a Papuan language, has numerals 1 to 5 only: 1, 2, 1+2, 2+2, and 2+2+1 (Chan, 2013) .",
"cite_spans": [
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"start": 108,
"end": 120,
"text": "(Chan, 2013)",
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"section": "Table 1. C/PM Distribution of in 114 languages",
"sec_num": null
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"text": "Pirah\u00e3, an Amazonian language isolate, has no numerals (Frank et al, 2008) .",
"cite_spans": [
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"start": 55,
"end": 74,
"text": "(Frank et al, 2008)",
"ref_id": "BIBREF23"
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"section": "Table 1. C/PM Distribution of in 114 languages",
"sec_num": null
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"text": "Yidiny, a nearly extinct Australian language, has only numerals 1-5 (1991:224).",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Table 1. C/PM Distribution of in 114 languages",
"sec_num": null
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"text": "Yingkarta, an Australian language a.k.a. Yinggarda and Inggarda, has numerals 1-4 only: 1, 2, 3, and 2+2 (Chan, 2013) .",
"cite_spans": [
{
"start": 105,
"end": 117,
"text": "(Chan, 2013)",
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"section": "Table 1. C/PM Distribution of in 114 languages",
"sec_num": null
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"text": "Early Archaic Chinese already has a very mature decimal system.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Group 2: (semi-)productive systems",
"sec_num": null
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"text": "Chimariko, a Hokan language of California, now extinct, has quinary and decimal system (Jany 2007:110) .",
"cite_spans": [
{
"start": 87,
"end": 102,
"text": "(Jany 2007:110)",
"ref_id": null
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"section": "Group 2: (semi-)productive systems",
"sec_num": null
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"text": "Kombai, a Papuan language, has a semiproductive body tally system (Chan, 2013) .",
"cite_spans": [
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"start": 66,
"end": 78,
"text": "(Chan, 2013)",
"ref_id": "BIBREF11"
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"ref_spans": [],
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"section": "Group 2: (semi-)productive systems",
"sec_num": null
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"text": "Mapudungun, an Araucanian language of Chile, has a decimal system (Chan, 2013) .",
"cite_spans": [
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"start": 66,
"end": 78,
"text": "(Chan, 2013)",
"ref_id": "BIBREF11"
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"section": "Group 2: (semi-)productive systems",
"sec_num": null
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"text": "Salt-Yui, a Papuan language, has a finger-andtoe tally system with a 2, 5, and 20-based cyclic pattern (Chan, 2013) .",
"cite_spans": [
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"start": 103,
"end": 115,
"text": "(Chan, 2013)",
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"section": "Group 2: (semi-)productive systems",
"sec_num": null
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"text": "We will take Early Archaic Chinese as an example for Group 2, and Pirah\u00e3, for Group 1. Early Archaic Chinese in the Shang oracle-bone inscriptions, or Oracular Chinese, from 18 th -12 th centuries BC, is known to have neither Cs nor PMs (Xu, 2006) . It does, however, have a welldeveloped decimal numeral system and also a number of plural quantifiers. Evidence of count/mass distinction comes from the fact that numerals can quantify an N directly, as in (46). Without exception, such Ns are all putative count nouns, indicating a lexical count/mass distinction.",
"cite_spans": [
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"start": 237,
"end": 247,
"text": "(Xu, 2006)",
"ref_id": "BIBREF55"
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"section": "Group 2: (semi-)productive systems",
"sec_num": null
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"text": "(46) a.\u4e94 \u4eba \u4e00 \u725b (Hu 1983 (01060) wu ren yi niu 5 person 1 ox '5 persons and 1 ox' b.\u9ce5 \u4e8c\u767e\u5341\u4e8c\uff0c \u5154 \u4e00 (Hu 1983 (41802)) niao er-ba-shi-er tu yi bird 2-hundred-ten-2 hare 1 '212 birds and 1 hare' Pirah\u00e3, on the other hand, is anumeric and also makes no distinction between singular and plural (Everett, 2005) . More significantly, experiments conducted by Gordan (2005) and Everett and Madora (2012) show that monolingual Pirah\u00e3 speakers are only able to conceptualize an exact numerical quantity equal to or smaller than three. However, the notion of 'count' only requires the concept of individual via the notion of one (Yi, 2009:219) . In other words, the notion of exact quantity above three is not a necessary condition for either the conceptual or the linguistic distinction between count and mass. Clear evidence for a count/mass distinction in Pirah\u00e3 comes from the two different quantifiers in (47), both indicating a large quantity in approximation (Nevins et al 2009) .",
"cite_spans": [
{
"start": 15,
"end": 31,
"text": "(Hu 1983 (01060)",
"ref_id": null
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{
"start": 285,
"end": 300,
"text": "(Everett, 2005)",
"ref_id": "BIBREF20"
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{
"start": 348,
"end": 361,
"text": "Gordan (2005)",
"ref_id": null
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"start": 366,
"end": 391,
"text": "Everett and Madora (2012)",
"ref_id": "BIBREF19"
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"start": 614,
"end": 628,
"text": "(Yi, 2009:219)",
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"start": 951,
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"text": "(Nevins et al 2009)",
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"sec_num": null
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"text": "(47) a. xa\u00edb\u00e1i 'many' (count nouns only) b.",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Group 2: (semi-)productive systems",
"sec_num": null
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{
"text": "xapag\u00ed 'much' (non-count nouns only)",
"cite_spans": [],
"ref_spans": [],
"eq_spans": [],
"section": "Group 2: (semi-)productive systems",
"sec_num": null
},
{
"text": "The fact that a language without numerals is still able to make a lexical distinction of count/mass, coupled with the fact that prelinguistic infants are capable of representing precise numbers (1-3) as well as approximating numerical magnitudes (see Feigenson et al, 2004, for an excellent summary and review), suggests that the count/mass distinction is universal.",
"cite_spans": [
{
"start": 251,
"end": 273,
"text": "Feigenson et al, 2004,",
"ref_id": "BIBREF21"
}
],
"ref_spans": [],
"eq_spans": [],
"section": "Group 2: (semi-)productive systems",
"sec_num": null
},
{
"text": "This study confirms the generalization that numeral classifiers (Cs) and plural markers (PMs) are largely complimentarily distributed in languages. We concur with Her (2012a) that this generalization exists because it reflects C/PM's identical mathematical function as a multiplicand with the value of 1 and the cognitive function of highlighting the discreteness, or the count nature, of the noun. However, genuine exceptions, where C/PM co-occur on N in 11 languages out of 114 examined, do pose a challenge to the unification of Cs and PMs. These 11 languages are Ainu, Belhare, Chantyal, Hatam, Hungarian, Japanese, Kathmandu Newar, Khmer, Mandarin, Nivk, and Taba. We take Mandarin as an example and account for its [D Num CL N] construction, where the C/PM co-occurrence involves a marked structure with a double-headed CL.",
"cite_spans": [
{
"start": 721,
"end": 733,
"text": "[D Num CL N]",
"ref_id": null
}
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"ref_spans": [],
"eq_spans": [],
"section": "Conclusion",
"sec_num": "6"
},
{
"text": "Furthermore, the unification of Cs and PMs also has significant implications on the debate over the count/mass distinction in languages. Our preliminary survey of 9 languages without C/PM, with special attention on Pirah\u00e3, indicates that the existence of a numeral system in a language is in fact not a prerequisite for the count/mass distinction. Thus, to the extent that the unification of Cs and PMs is on the right track, the implication is that the count/mass distinction is made on the lexical level and it is universal.",
"cite_spans": [],
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"eq_spans": [],
"section": "Conclusion",
"sec_num": "6"
},
{
"text": "The only mathematical difference between Cs and Ms is that the value of an M is anything but 1, e.g., 2 in the case of \u96d9 shuang 'pair', 12 in the case of \u6253 da 'dozen', and kilo in the case of \u516c\u65a4 gongjin 'kilo'(Her 2012a).",
"cite_spans": [],
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"section": "",
"sec_num": null
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{
"text": "PACLIC-27",
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"sec_num": null
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"FIGREF1": {
"num": null,
"type_str": "figure",
"text": "(7) a.*three cup b. a three-cup bra c. three fish/deer/sheep",
"uris": null
},
"TABREF3": {
"num": null,
"html": null,
"type_str": "table",
"content": "<table><tr><td/><td/><td/><td>b.</td><td>DP</td></tr><tr><td/><td/><td/><td>D</td><td>NumP</td></tr><tr><td/><td/><td/><td colspan=\"2\">Num</td><td>CLP</td></tr><tr><td colspan=\"3\">(35) zhe wei laoshi</td><td/></tr><tr><td colspan=\"3\">the C teacher</td><td colspan=\"2\">\u00d8[pl] CL</td><td>NP</td></tr><tr><td colspan=\"3\">'this teacher'</td><td/></tr><tr><td>(36) a.</td><td>DP</td><td/><td colspan=\"2\">laoshi-men[pl,def] laoshi</td></tr><tr><td>D</td><td colspan=\"2\">NumP</td><td colspan=\"2\">In contrast, numeral san '3' in (29) is ill-formed, becuase overt numerals subcategorize</td></tr><tr><td colspan=\"2\">zhe Num</td><td>CLP</td><td colspan=\"2\">for Cs, not -men (see (26f)). The example in (30) is thus well-formed; the clitic wei raises to an</td></tr><tr><td colspan=\"2\">\u00d8[sg] CL</td><td>NP</td><td colspan=\"2\">Num, as in (31). Following Huang et al (2009, chp.8), we assume (30) is ambiguous between a</td></tr><tr><td/><td>wei</td><td>laoshi</td><td colspan=\"2\">quantity reading with NumP, and an individual reading, thus with a null D projecting a DP and</td></tr><tr><td>b.</td><td>DP</td><td/><td colspan=\"2\">taking NumP as complement.</td></tr><tr><td>D</td><td/><td>NumP</td><td colspan=\"2\">(29) *san laoshi-men 3 teacher-PL</td></tr><tr><td colspan=\"3\">zhe-\u00d8[sg]-wei Num CLP</td><td colspan=\"2\">(30) san wei laoshi 3 C teacher</td></tr><tr><td/><td/><td/><td colspan=\"2\">'3 teachers'</td></tr><tr><td/><td colspan=\"2\">\u00d8[sg]-wei CL NP</td><td/></tr><tr><td/><td/><td/><td>(31)</td><td>NumP</td></tr><tr><td/><td/><td>wei laoshi</td><td/></tr><tr><td/><td/><td/><td colspan=\"2\">Num</td><td>CLP</td></tr><tr><td/><td/><td/><td colspan=\"2\">3[pl]-wei CL</td><td>NP</td></tr><tr><td/><td/><td/><td/><td>wei laoshi</td></tr><tr><td/><td/><td/><td colspan=\"2\">The bare classifier phrase in (32) is ill-formed,</td></tr><tr><td/><td/><td/><td colspan=\"2\">for Cs, as clitics in Mandarin, require a proper</td></tr><tr><td/><td/><td/><td colspan=\"2\">host. The example in (33), where an overt</td></tr><tr><td/><td/><td/><td colspan=\"2\">numeral serves as the host for C, is thus well-</td></tr><tr><td/><td/><td/><td colspan=\"2\">formed with or without the overt D.</td></tr><tr><td/><td/><td/><td colspan=\"2\">(32) *wei laoshi</td></tr><tr><td/><td/><td/><td colspan=\"2\">C teacher</td></tr><tr><td colspan=\"2\">(27) laoshi-men teacher-PL</td><td/><td colspan=\"2\">(33) (zhe) yi wei laoshi the 1 C teacher '(the) one teacher'</td></tr><tr><td>(28) a.</td><td>DP</td><td/><td>(34)</td><td>DP</td></tr><tr><td>D</td><td colspan=\"2\">NumP</td><td>D</td><td>NumP</td></tr><tr><td colspan=\"2\">Num</td><td>CLP</td><td colspan=\"2\">zhe Num</td><td>CLP</td></tr><tr><td colspan=\"2\">\u00d8[pl] CL</td><td>NP</td><td colspan=\"2\">1[sg]-wei CL</td><td>NP</td></tr><tr><td/><td colspan=\"2\">men[pl,def] laoshi</td><td/><td>wei</td><td>laoshi</td></tr></table>",
"text": "As mentioned earlier, the numeral 1 can be omitted. The example in (35) is thus well-formed with or without the numeral 1, as long as there is an overt D serving as host for C."
},
"TABREF6": {
"num": null,
"html": null,
"type_str": "table",
"content": "<table><tr><td>(43) a.*one conspicuousness</td></tr><tr><td>b.*one beautifulness</td></tr><tr><td>c.*one precariousness</td></tr><tr><td>(44) a.*three conspicuousnesses</td></tr><tr><td>b.*three beautifulnesses</td></tr><tr><td>c.*three precariousnesses</td></tr><tr><td>Likewise, many putative mass nouns in</td></tr><tr><td>Mandarin cannot appear in the [Num C N]</td></tr><tr><td>configuration either, again unlike putative count</td></tr><tr><td>nouns in the language.</td></tr><tr><td>(45) a.*\u4e09 \u500b \u7a7a\u6c23</td></tr><tr><td>san ge qi</td></tr><tr><td>3 C air</td></tr><tr><td>b.*\u4e09 \u500b \u9152\u7cbe</td></tr><tr><td>san ge jiujing</td></tr><tr><td>3 C alcohol</td></tr><tr><td>c.*\u4e09 \u500b \u4e0d\u92b9\u92fc</td></tr><tr><td>san ge buxiugang</td></tr><tr><td>3 C stainless-steel</td></tr></table>",
"text": "Many putative mass nouns in English cannot be quantified by numerals, unlike putative count nouns."
}
}
}
}