Review of Indefinites and the Type of Sets |
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Date: Sat, 17 Apr 2004 11:11:15 -0700 (PDT) From: Asya Pereltsvaig Subject: Indefinites and the Type of Sets
AUTHOR: Landman, Fred TITLE: Indefinites and the Type of Sets SERIES: Explorations in Semantics PUBLISHER: Blackwell Publishing YEAR: 2004
Asya Pereltsvaig, unaffiliated scholar
INTRODUCTION This book is concerned with the semantics (and to a lesser extent the syntactic structure) of indefinite nominals, especially (but not exclusively) those containing numerical expressions, such as 'at least three girls' or 'the at most five boys'. Although primarily a research monograph, it can also be used as a text for an advanced/graduate semantics course. The book presupposes a fairly good knowledge of formal semantic notation, but the author helpfully identifies which sections can be read even by people with "an elementary fluency in reading semantic types and expressions with lambda-operators" and which ones are "'icing' meant for the specialists" (p. xiii-xv). It must be also noted that the range of problems considered in this book makes it interesting and the author's clear and witty style makes it accessible even for a non-specialist audience, especially for syntacticians interested in the structure and interpretation of nominals. The following comments are intended mostly for such a wider non-specialist audience.
SYNOPSIS The starting point of this book is the Adjectival Theory of Numerical Noun Phrases, which the author adopts and further develops into a more general Adjectival Theory of Indefinite Determiner Phrases (DPs). Thus, it is argued (Chapters 1 and 2) that indefinite DPs are generated with the interpretation as the type of sets. Following Partee (1987), three semantic types are assumed for different types of nominals: definite DPs (e.g., 'the three girls') are generated with an interpretation at the type of individuals, ; quantificational DPs (e.g., 'every girl') are generated with an interpretation at the type of generalized quantifier over individuals, <,t>; and indefinite DPs (e.g., 'three girls', assumed to have a null determiner) are generated with an interpretation at the type of sets of individuals, . The novelty lies in analyzing indefinites as having the interpretation which Partee assigns to predicate expressions.
The analysis developed in this book also differs from Partee's analysis in the kinds of type-shifting operations it allows. Unlike Partee-style analysis, which allows both lifting and lowering operations, the Adjectival Theory of Indefinites, in the version developed in this book, has only lifting operations. Specifically, Partee derives predicate interpretations of noun phrases from argument interpretations with type lowering operation BE, which takes a generalized quantifier <,t> and "maps it onto the set of individuals for which the property of being that individual is in that generalized quantifier" (p. 21). In contrast, the Adjectival Theory derives argument interpretations of indefinite noun phrases from predicative interpretations through type lifting with Existential Closure (EC), an operation which takes "a set of individuals alpha and maps it onto a generalized quantifier: the set of all sets that have a non-empty intersection with alpha" (p. 21).
The two alternative approaches are compared in Chapter 2, where it is shown that although the Partee-style approach may have an initial advantage, both approaches "must be complex and non-uniform in analogous ways" (p. xx). Thus, it is argued that the Classical (Partee-style) analysis does not win on elegance points. For example, as pointed out in Chapter 3, both the Classical analysis and the Adjectival theory need a constraint formulated here as the Variable Constraint, which says that "variables cannot be type shifted from argument types to corresponding predicate types (i.e., from a to )" (p.49). This constraint in combination with the Adjectival Theory developed in this book correctly predicts that: (i) quantificational DPs are infelicitous in predicate position, (ii) DPs filling predicate position cannot be given wide scope, (iii)relativization and wh-questioning with the gap in predicate position are disallowed.
The rest of the book explores the advantages of the Adjectival Theory in accounting for various empirical phenomena. The first such phenomenon is that of 'there'-insertion constructions, which is the topic of Chapters 3 through 8.
The starting point of Chapter 3 is the observation that in addition to the three restrictions mentioned above for the predicate position, delayed subjects (also known in syntactic theory as "thematic subjects" or the "associate" of the expletive 'there'; e.g., 'a man' in 'There was a man in the room') exhibit a definiteness effect: definite DPs are excluded from the delayed subject position. In order to account for this, Landman analyzes delayed subjects as set-denoting (on a par with predicates), but crucially as neither predicates, nor arguments. Instead, delayed subjects are taken (in chapter 4) to be intersective adjuncts (like intersective adjectives derived from predicative adjectives generated at the type of sets). Furthermore, it is proposed that "a shift into the adjunct domain is only possible for noun phrases that are generated at the set type, not for noun phrases that are shifted into the set type" (p.75). This means that even though definite DPs can receive a set interpretation in predicate position (via IDENT operation shifting the interpretation from a to ), they cannot receive an interpretation as an intersective adjunct in delayed subject position. Quantificational DPs are of course excluded from delayed subject position because they do not have the right interpretation (i.e., type of sets) to start with.
The rest of Chapter 4 is dedicated to a comparison of this proposal with alternatives based on a distinction between strong and weak DPs. Two kinds of theories are considered and shown to be inadequate: those that identify strength with presuppositionality, and those that identify weakness with symmetry. The former theories are shown to be inadequate inasmuch as the correlation between presuppositionality and infelicity as delayed subject is not that robust; there are quantificational and definite DPs which are argued not to be presuppositional but are nonetheless infelicitous as delayed subjects, and vice versa, there are indefinites which are arguably presuppositional but are nevertheless felicitous as delayed subjects. Dutch data concerning *sommige* ('some') and a comparison between 'most boys' and 'more than half of the boys' are used also to refute the approaches that equate weakness with symmetry.
Chapter 5 is at the core of the book, as it addresses the question of how DPs in the delayed subject position can be adjuncts if DPs are not normally licensed as adjuncts. The solution proposed for this problem consists of two steps. The first step is a modification of the Theta Theory: the Value Restriction Principle is proposed allowing a thematic role to be assigned to a constituent not necessarily in an argument position,but such that "in the semantic interpretation of [the minimal syntactic tree] T the interpretation of [that constituent] constrains the value of role R in the appropriate way" (p. 104). Hence, the delayed subject is analyzed as an adjunct on the verbal predicate. The mismatch between the semantic types of the delayed subject and the verbal predicate is resolved through the flip-flop shifting mechanism (shifting the interpretation of the verbal predicate from type > to type > and vice versa). This flip-flop mechanism is the technical heart of the book; it allows a delayed subject, which is syntactically and semantically an adjunct to receive a thematic role under the Value Restriction Principle. This flip-flop mechanism also explains why only delayed subjects are possible, not delayed direct or indirect objects. Finally, cross-linguistic variation in the realization of non-thematic subjects in 'there'-insertion constructions in English, German, Dutch and French is discussed and two parameters are proposed to account for the four languages: one parameter involves licensing of the null non-thematic subject and the other involves realization of non-thematic adverbial (e.g., English 'there', Dutch 'er').
Chapter 6 picks up the question of cross-linguistic variation with respect to the nature of the predicates that allow adjoined (delayed) subjects. The flip-flop analysis developed in the previous chapter is used to explain why adjoined subjects are possible only with intransitive predicates. Furthermore, it is observed that in English and French adjoined subjects are possible with unaccusative verbs and passives and with episodic (i.e., stage-level) predicates, but not with unergative or transitive verbs or with non-episodic (i.e., individual-level) predicates, whereas there is no such restriction in Dutch and German. The explanation for this contrast is based on a distinction between saturated and unsaturated predicates. A semantic parameter is proposed: Dutch and German allow adjunction to all one-place predicates, whether saturated or unsaturated, whereas English and French allow adjoined subjects only with saturated predicates. Bowers' (1993) Pred head is used in order to account for the position of the delayed subject with respect to the verb in English and French. A distinction between thematic subject and reduction subject is used to account for the subject-verb agreement contrasts between English, German and Dutch, on the one hand, and French, on the other hand.
Chapter 7 is concerned with 'there'-insertion constructions in Dutch and argues against semantic partitioning. Chapter 8 is concerned with negative noun phrases (e.g., 'no girls'), whose appearance as delayed subjects in 'there'-insertion construction is problematic for many semantic theories. Here, the semantic break-up approach is pursued, whereby the negative noun phrase is separated into a negation and an indefinite noun phrase (i.e., 'not' + 'girls'), and negation takes scope independently of the rest of the noun phrase. The remaining three chapters deal with the definiteness effect in other constructions.
Chapter 9 deals with the definiteness effect with relational DPs (e.g., 'I have a brother', but not '*I have the brother'). This definiteness effect is related to the de-thematization of the verb 'have': it loses its possessive meaning and the whole VP 'have a brother' inherits a relational meaning from the DP. The analysis proposed for this construction is likewise based on the Adjectival Theory of Indefinites, and is further extended to constructions with change of possession verbs, such as 'buy' and 'sell'.
Chapters 10 and 11 deal with the DPs with 'time' occurring in adverbial position: chapter 10 is concerned with definite 'time'-DPs (e.g., 'every time the postman came'), while chapter 11 is dedicated to indefinite 'time'-DPs (e.g., 'three times'). It is argued that 'time' is not a real noun, but a classifier (p. 229). The proposed analysis takes what looks like a DP in adverbial position to be (semantically) not a DP, but a perfectly legitimate adverbial expression.
CRITICAL EVALUATION On the whole, this book makes an outstanding contribution to the study of noun phrase meaning and especially definiteness effects. As much as this book is a comprehensive study on the topic, it is also an invitation for further research in this area. Many a section of the book (as the author himself admits) "requires a syntactic analysis, rather than presents one" (p. 118). Here, I will mention just two such areas of discussion that relate to syntactic controversies.
One involves the relation between predicative and attributive adjectives. Somewhat confusingly, it is stated on p. 74 that "predicative adjectives ... are generated at the type of sets... As adjuncts, they shift to a modifier interpretation"; however, on p. 99 it is stated that "adjectives... are restricted to adjunct positions", creating an impression that predicative adjectives are derived from attributive ones, rather than vice versa (as in the previous quote). This relates to the debate in syntactic literature on whether attributive adjectives are derived from predicative ones or vice versa. The first approach, deriving attributive adjectives from predicative ones (typically via a reduced relative clause, e.g., 'a blond girl' derived from 'a girl who is blond') has been adopted among others by Cinque (2003) with respect to certain adjectives in Italian. The second approach, that certain adjectives in predicative position derive syntactically from attributive adjectives, has been explored among others by Bailyn (1994), who argues that (long form) predicative adjectives in Russian are in fact attributive modifiers of a null Noun.
Another issue that relates to a syntactic controversy is the question of derivation of OV (i.e., head-final) languages like Dutch and German. On p. 144, Landman proposes the Adjunction Parameter, according to which "DPs with an interpretation born at type can adjoin to one-place predicates" in Dutch and German, but to "saturated one-place predicates" in English and French. On the next page, this parameter is related to the OV nature of Dutch and German vs. VO nature of English and French. Furthermore, it is crucially assumed that "in Dutch and German the heads in the verbal domain (like V and I) are sitting on the right side", that is, that these languages are underlyingly OV rather than deriving OV order via movement of the object to the left of the verb. However, this assumption is not shared by all syntacticians working on this issue (see papers in Svenonius 2000 for different approaches). It would be nice to see if the analysis proposed in this book works under a different set of assumptions, namely that Dutch and German are underlying VO.
Overall, this book presents an insightful and thorough investigation of a wide range of natural language phenomena in several languages, presented in a comprehensible and engaging way. And I cannot but agree with Veneeta Dayal's comment on the back cover: "He makes hardcore linguistics fun to read!"
REFERENCES Bailyn, John F. (1994) The Syntax and Semantics of Russian Long and Short Adjectives: An X'-Theoretic Account. In Jindrich Toman (ed.) Annual Workshop on Formal Approaches to Slavic Linguistics. Ann Arbor, MI: Michigan Slavic Publications. Pp. 1-30.
Bowers, John (1993) The syntax of predication. Linguistic Inquiry 24: 591-656.
Cinque, Guglielmo (2003) The dual source of adjectives and XP- vs. N-Raising in the Romance DP. Paper presented at CASTL Kick-Off conference. University of Tromso.
Partee, Barbara (1987) Noun phrase interpretation and type shifting principles. In Jeroen Groenendijk, Dick de Jongh and Martin Stokhof (eds.) Studies in Discourse Representation Theory and the Theory of Generalized Quantifiers. Dordrecht: Foris.
Svenonius, Peter (ed.) (2000) The Derivation of VO and OV. Philadelphia: John Benjamins.
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ABOUT THE REVIEWER:
ABOUT THE REVIEWER Asya Pereltsvaig has been investigating issues in the syntax and interpretation of noun phrases, both in predicative and argument positions. She is particularly interested in the question of whether languages without overt articles (such as Slavic languages) employ the same set of syntactic structures as languages with overt articles. Her other interests include the syntax of numerical expressions, interaction of noun phrase syntax with verbal aspect and case marking. |
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