Maria Bittner

In this paper, we discuss some rather puzzling facts concerning the semantics of Warlpiri expressions of cardinality, i.e. the Warlpiri counterparts of English expressions like one,two, many, how many. The morphosyntactic evidence, discussed in section 1, suggests that the corresponding expressions in Warlpiri are nominal, just like the Warlpiri counterparts of prototypical nouns, eg. child. We also argue that Warlpiri has no articles or any other items of the syntactic category D(eterminer). In section 2, we describe three types of readings— "definite", "indefinite" and "predicative"—which are generally found with Warlpiri nouns, including those which correspond to English common nouns and cardinality expressions. A partial analysis of these readings is sketched i n section 3. Since Warlpiri has no determiner system, we hypothesize that the source of (in)definiteness in this language is semantic. More specifically, we suggest that Warlpiri nominals are basically interpreted as individual terms or predicates of individuals and that their three readings arise as a consequence of the interaction of their basic meanings, which are specific to Warlpiri, with certain semantic operations, such as type shifting (Rooth and Partee 1982, Partee and Rooth 1983, Partee 1986, 1987), which universally can or must apply in the process of compositional semantic interpretation.

Featured course on "Dynamic Semantics" at NASSLLI 2016. Day 2: Anaphora. Abstract: Cross-linguistic evidence shows that anaphora crucially involves context change. The logical representation system must be able to represent rank-based anaphora, because in every language the favorite anaphors -- e.g. Mandarin zeros, Kalaallisut inflections, English pronouns -- are restricted to refer to top-ranked antecedents (top-level anaphors, like Mandarin zeros or Kalaallisut inflections) or top- or 2nd-ranked antecedents (shallow anaphors, like English pronouns).

Hamm, Kamp, and van Lambalgen 2006 (hereafter HLK) propose to relate NL discourse to cognitive representations that also deal with world knowledge, planning, belief revision, etc. Surprisingly, to represent human cognition they use an event calculus "which has found applications in robotics". This comment argues that the robotics-based theory of HLK attributes too much to world knowledge and not enough to the ontology, centering, and other universals of NL semantics. It is also too Anglo-centric to generalize to languages of other linguistic types.

Crosslinguistically, causative constructions conform to the following generalization: If the causal relation is syntactically concealed, then it is semantically direct. Concealed causatives span a wide syntactic spectrum, ranging from resultative complements in English to causative subjects in Miskitu. A unified type-driven theory is proposed which attributes the understood causal relation—and other elements of constructional meaning—to type lifting operations predictably licensed by type mismatch at LF. The proposal has far-reaching theoretical implications not only for the theory of compositionality and causation, but also for the underlying theory of events, space, and time, in natural language discourse.

I propose that Mandarin ｡-sentences (units marked by ｡) are aspectual topic-comment sequences, where an initial update (terminating in a pause) introduces a topic state for comment by one or more clauses. Each comment anaphorically refers to the topic state via the aspect feature of the verbal predicate. This proposal explains why Mandarin ｡-sentences have controversial boundaries, since speakers may disagree where one topic state ends and the next one begins. It also explains various manifestations of aspect-prominence and topic-prominence in Mandarin discourse. In Bittner (2014), this proposal is formally implemented in Categorial Grammar and a new dynamic logic called Update with Centering.

Unlike English and Polish, Mandarin has no grammatical tense (TNS). Therefore, reference times are only introduced by temporal modifiers (contra Smith 1991/7, Wu 2003, Lin 2005, etc). In Mandarin discourse, the frequency of such modifiers (‘today’, ‘last night’, etc) is about the same (low) as in tensed languages (e.g. English, Polish) and plays a similarly marginal role in temporal discourse reference. This, however, does NOT mean that in tenseless Mandarin temporal relations between eventualities in discourse are in any way less precise than in tensed languages. Rather, the issue is HOW temporal relations are established: indirectly , via reference times, or directly, without mediating reference times. Tensed English and Polish typically first introduce a topic time (by topic-setting TNS) and then locate verbal eventualities in relation to this temporal topic (by anaphoric TNS).

This paper argues that indexical reference is a species of discourse reference, just like anaphora. Both varieties of discourse reference involve not only context dependence, but also context change. The act of speaking up focuses attention and thereby makes this very speech event available for discourse reference by indexicals. Mentioning something likewise focuses attention, making the mentioned entity available for subsequent discourse reference by anaphors. Empirical evidence is presented from grammatical centering in Kalaallisut and "shifty indexicals" in Slave attitude reports.

The standard way to represent anaphoric dependencies is to co-index the anaphor with its antecedent in the syntactic input to semantic rules, which then interpret such indices as variables. Dynamic theories (e.g. Kamp’s DRT, Heim’s File Change Semantics, Muskens’s Compositional DRT, etc) combine syntactic co-indexation with semantic left-to-right asymmetry. This captures the fact that the anaphor gets its referent from the antecedent and not vice versa. Formally, a text updates the input state of information to the output state. In particular, an indexed antecedent updates the entity assigned to its index, and the output entity is then picked up as the referent by any subsequent co-indexed anaphor.

Featured course on "Dynamic Semantics" at NASSLLI 2016. Day 3: Indexicality. Abstract: Cross-linguistic evidence shows that indexicality, too, crucially involves context change. Speaking up focuses attention on that event and thereby makes it available for discourse reference (by "i", "you", etc). In Kalaallisut, this explains parallel grammatical marking of indexical reference and topic-oriented anaphora. Moreover, shiftable indexicals in Slavey show that certain expressions, e.g. attitude verbs, may update the top perspectival discourse referent from the speech event to an attitude state.

: This study describes a new field method, suited for investigating scope relations — and other aspects of truth conditional meaning — with native speaker consultants who may speak no other language and have no background in linguistics or logic. This method revealed a surprising scope contrast between the antipassive and the ergative construction in Greenlandic Eskimo. The results of this field work are described in detail and a crosslinguistic scope generalization is proposed based on Greenlandic Eskimo, Basque, Polish, Russian, Finnish and English.

Ergative languages make up a substantial percentage of the world’s languages. They have a case system which distinguishes the subject of a transitive verb from that of an intransitive, grouping the latter with the object — that is, the object of a transitive verb and the subject of an intransitive verb are in the same case, which we refer to as the nominative. However, ergative languages differ from one another in important ways. In Greenlandic Eskimo the nominative, whether it is a subject or an object, is syntactically prominent in the clause, much like a subject in English; but in Warlpiri, the nominative is not prominent, more like an object. The variable prominence of the nominative manifests itself as well in the semantics, e.g., default scope of indefinite and quantified nominals. Using data from Greenlandic Eskimo and Warlpiri, and from Hindi, which represents a split ergative system, this paper develops a general theory of case which explains the observed differences amongst ergative languages. In addition, the theory is designed to account for the accusative language type, represented by English.

This book surveys the ways in which languages of different types refer to past, present, and future events and how these referents are related to the knowledge and attitudes of discourse participants. The book is the culmination of fifteen years of research by the author. Four major language types are examined in-depth: tense-based English, tense-aspect-based Polish, aspect-based Chinese, and mood-based Kalaallisut. Each contributes to a series of logical representation languages, which together define a common logical language that is argued to underlie all language types. The four types differ in whether they choose to grammaticalize discourse reference to times (tense), events (aspect), and/or attitudes (mood), and how non-grammaticalized elements are inferred. The common logical language is a dynamic update logic, building on DRT and Centering Theory, but with a novel architecture—e.g. the distinction between focal vs. peripheral attention plays a key role, parallel to focal vs. peripheral vision.

In English, discourse reference to time involves grammatical tenses interpreted as temporal anaphors. Recently, it has been argued that conditionals involve modal discourse anaphora expressed by a parallel grammatical system of anaphoric modals. Based on evidence from Kalaallisut, this paper argues that temporal and modal anaphora can be just as precise in a language that does not have either grammatical category. Instead, temporal anaphora directly targets eventualities of verbs, without mediating tenses, while modal anaphora involves anaphoric moods and/or attitudinal verbs.