Anna Szabolcsi

The de Morgan laws characterize how negation, conjunction, and disjunction interact with each other. They are fundamental in any semantics that bases itself on the propositional calculus/Boolean algebra. This paper is primarily concerned with the second law. In English, its validity is easy to demonstrate using linguistic examples. Consider the following: (3) Why is it so cold in here? We didn’t close the door or the window. The second sentence is ambiguous. It may mean that I suppose we did not close the door or did not close the window, but I am not sure which. This `I am not sure which’ reading is irrelevant to us because it has disjunction scoping over negation. But the sentence may equally well mean (and indeed this is the preferred reading) that we didn’t close the door and did not close the window. This `neither’ reading bears out de Morgan law (2).

The scalar approach to negative polarity item (NPI) licensing assumes that NPIs are allowable in contexts in which the introduction of the NPI leads to proposition strengthening (e.g., Kadmon & Landman 1993, Krifka 1995, Lahiri 1997, Chierchia 2006). A straightforward processing prediction from such a theory is that NPI’s facilitate inference verification from sets to subsets. Three experiments are reported that test this proposal. In each experiment, participants evaluated whether inferences from sets to subsets were valid. Crucially, we manipulated whether the premises contained an NPI. In Experiment 1, participants completed a metalinguistic reasoning task, and Experiments 2 and 3 tested reading times using a self-paced reading task. Contrary to expectations, no facilitation was observed when the NPI was present in the premise compared to when it was absent. In fact, the NPI significantly slowed down reading times in the inference region. Our results therefore favor those scalar theories that predict that the NPI is costly to process (Chierchia 2006), or other, nonscalar theories (Giannakidou 1998, Ladusaw 1992, Postal 2005, Szabolcsi 2004) that likewise predict NPI processing cost but, unlike Chierchia (2006), expect the magnitude of the processing cost to vary with the actual pragmatics of the NPI.

The focus of this paper is the syntax of inverse scope in Hungarian, a language that largely disambiguates quantifier scope at spell-out. Inverse scope is attributed to alternate orderings of potentially large chunks of structure, but with appeal to base-generation, as opposed to nonfeature-driven movement as in Kayne 1998. The proposal is developed within mirror theory and conforms to the assumption that structures are antisymmetrical. The paper also develops a matching notion of scope in terms of featural domination, as opposed to c-command, and applies it to otherwise problematic cases of pied piping. Finally, the interaction of different quantifier types is examined and the patterns are explained invoking morphological considerations on one hand and A-bar reconstruction on the other.

Combinatory logic (Curry and Feys 1958) is a “variable-free” alternative to the lambda calculus. The two have the same expressive power but build their expressions differently. “Variable-free” semantics is, more precisely, “free of variable binding”: it has no operation like abstraction that turns a free variable into a bound one; it uses combinators—operations on functions—instead. For the general linguistic motivation of this approach, see the works of Steedman, Szabolcsi, and Jacobson, among others. The standard view in linguistics is that reflexive and personal pronouns are free variables that get bound by an antecedent through some coindexing mechanism. In variable free semantics the same task is performed by some combinator that identifies two arguments of the function it operates on (a duplicator). This combinator may be built into the lexical semantics of the pronoun, into that of the antecedent, or it may be a free-floating operation applicable to predicates or larger chunks of texts, i.e. a typeshifter. This note is concerned with the case of cross-sentential anaphora. It adopts Hepple’s and Jacobson’s interpretation of pronouns as identity maps and asks how this can be extended to the cross-sentential case, assuming the dynamic semantic view of anaphora. It first outlines the possibility of interpreting indefinites that antecede non-ccommanded pronouns as existential quantifiers enriched with a duplicator. Then it argues that it is preferable to use the duplicator as a type-shifter that applies “on the fly”. The proposal has consequences for two central ingredients of the classical dynamic semantic treatment: it does away with abstraction over assignments and with treating indefinites as inherently existentially quantified. However, cross-sentential anaphora remains a matter of binding, and the idea of propositions as context change potentials is retained.

Section 1 provides a brief summary of the pair-list literature singling out some points that are particularly relevant for the coming discussion. -/- Section 2 shows that the dilemma of quantification versus domain restriction arises only in extensional complement interrogatives. In matrix questions and in intensional complements only universals support pairlist readings, whence the simplest domain restriction treatment suffices. Related data including conjunction, disjunction, and cumulative readings are discussed -/- Section 3 argues that in the case of extensional complements the domain restriction treatment is inadequate for at least two independent reasons. One has to do with the fact that not only upward monotonic quantifiers support pairlist readings, and the other with the derivation of apparent scope out readings. The reasoning is supplemented with some discussion of the semantic properties of layered quantifiers. The above will establish the need for quantification, so the question arises how the objections explicitly enlisted in the literature against quantification can be answered. Section 4 considers the de dicto reading of the quantifiers restriction, quanticational variability, and the absence of pairlist readings with whether questions, and argues that they need not militate against the quantificational analysis. -/- Section 5 summarizes the emergent proposal -/- Finally, section 6 discusses the significance of the above findings for the behavior of weak islands.

[...] I will only investigate [Austin's] claims as challenges to present-day model theoretic semantics. My main point will be to draw a sharp line between the semantic and pragmatic aspects of performatives and thereby discover a gap in Austin’s treatment. This will in my view naturally lead to the proposal in Section 2, that is, to treating performatives as denoting changes in intensional models. The rest of Section 2 will be concerned with the status of felicity conditions and a tentative extension of Montague’s PTQ.

This paper uses a partially ordered set of syntactic categories to accommodate optionality and licensing in natural language syntax. A complex but well-studied data set pertaining to the syntax of quantifier scope and negative polarity licensing in Hungarian is used to illustrate the proposal. The presentation is geared towards both linguists and logicians. The paper highlights that the main ideas can be implemented in different grammar formalisms, and discusses in detail an implementation where the partial ordering on categories is given by the derivability relation of a calculus with residuated and Galois-connected unary operators.

One of the insights of dynamic semantics in its various guises (Kamp 1981, Heim 1982, Groenendijk & Stokhof 1991, Kamp & Reyle 1993 among many others) is that interpretation is sensitive to left-to-right order. Is order sensitivity, particularly the default left-to-right order of evaluation, a property of particular meanings of certain lexical items (e.g., dynamically interpreted conjunction) or is it a more general feature of meaning composition? If it is a more general feature of meaning composition, is it a processing ‘preference’ or should it be captured as a ‘harder’ constraint on the type of meanings and operations over meanings involved in natural language interpretation? This squib draws attention to the symmetrical A-too B-too construction (found in a variety of languages, e.g., Hungarian, Japanese, Romanian, Russian) in this context. It argues that any semantic analysis of its main ‘symmetrical-meaning’ characteristic should also allow for subtler interactions between this construction and items that are clearly sensitive to evaluation-order effects, e.g., anaphoric adjectives like next and other. We suggest that the notion of postsupposition embedded in a broader dynamic framework is better able to account for both the symmetric nature of this construction, its non-symmetric variant A-too, and its interaction with items that are evaluation-order sensitive. We briefly compare this proposal with a couple of possible alternative accounts.

Positive polarity items (PPIs) are generally thought to have the boring property that they cannot scope below negation. The starting point of the paper is the observation that their distribution is significantly more complex; specifically, someone/something-type PPIs share properties with negative polarity items (NPIs). First, these PPIs are disallowed in the same environments that license yet type NPIs; second, adding any NPI-licenser rescues the illegitimate constellation. This leads to the conclusion that these PPIs have the combined properties of yet-type and ever-type NPIs: what appears to be a prohibition is nothing but “halfway licensing”. The paper goes on to propose a unification of the analyses of rescuable PPIs, NPIs, and negative concord, and questions the grounding of polarity sensitivity in the scalar or the referential semantics of the items involved.

I believe that the validity of [the Fregean principle of compositionality] is beyond doubt and thus any grammar, whether organized to reflect [it] directly or not, may ultimately be required to satisfy it. One of the systems that are precisely designed to reflect [it] is Montague Grammar, where, technical details aside, it is realized as follows: (2) a. Sentences are composed by putting their constituents together step by step, with no subsequent rearrangement; b. Not only each lexical item but also each rule of composition is assigned an explicit interpretation; c. Interpretation is given in terms of model theory: the denotation conditions of expressions are defined relative to a mathematical construct which, loosely speaking, models the relevant aspects of the world talked about

This chapter makes the following main claims about Hungarian: A. There is a detailed parallelism between the structures of noun phrases (DPs) and clauses (CPs), involving inflection, possessor extraction, and articles as complementizers. B. "HAVE sentences" are existential sentences involving possessor extraction. C. The argument frame of complex event nominals is identical to that of the underlying verb. D. The deverbal affix in nominals may have either a plain verb or a complex verb in its scope.

This paper seeks to illustrate the advantages of not treating phonological words as distinguished building blocks in compositional semantics. Following Bobaljik 2012, we derive the relative readings of amount superlatives in two steps, [[[d-many] comparative] superlative]. The existence of two comparative constructions is revealed, involving more vs. the more. Each builds a different superlative construction, explaining the conflicting intuitions about superlatives in the literature, as well as puzzles relating to the definite article in superlatives.