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LINGUISTIX&LOGIK, Tony Marmo's blog
Saturday, 25 September 2004


Phase structure, Phrase structure,
and Quantification

by Jonny Butler
Source: Semantics Archive

I combine two areas of investigation in current syntactic literature:

(1) the structure of the clause contains layers of hierarchically ordered quantificational heads, situated above the temporal and verbal fields (Beghelli & Stowell 1997);
(2) the clause is built in phases -- subclausal building blocks with parallel properties.

I claim these two threads should be tied together, in that phases should be defined in terms of such quantificational layers. Precisely, I claim a phase consists of some property denoting head H, topped by some associated `little' head(s) h (as v over V) -- this, the phase domain -- surmounted by a CP layer -- the phase edge -- that encodes quantificational information to close off domain-internal variables. This derives a V phase, C > v > V (corresponding to the standard vP phase); a T phase, C > t > T, (the standard CP phase); also an N phase (DP/QP), C > n > N, where C = D. Treating phases in these terms derives the major facets of orthodox phase theory, but in a much more elegant, less stipulative way.

Cyclicity, for example, is captured as an expected property of the system, rather than by the stipulated Phase Impenetrability Condition of Chomsky (2000). Evidence for this reinterpretation of phase theory is adduced from:

(1) The interpretation of QPs, treated uniformly like Heim (1982) indefinites: so any QP introduces a restricted variable, subject to closure by intra-clausal quantificational heads analogous to Heim's 9-closure operator.
(2) The structure and interpretation of temporal predicates, T/Perf/Prog, treated as embedding situation-denoting phases as internal argument, and introducing a situation variable, closed off by their own CP, as external argument.
(3) The interpretation and scope behaviour of modality, defined as quantification over possible situations: syntactically expressed as CP-/edge-level quantificational
heads operating over domain-level situation variables.


Posted by Tony Marmo at 17:24 BST



by Hana Flip
Source: Semantics Archive

In this paper I explore the function of prefixes as verb-internal operators that have distinct semantic effects on the interpretation of nominal arguments. I will focus on the Russian prefix n a - used in its cumulative sense of approximately a {relatively/sufficiently/exceedingly} large quantity (of), and to a lesser extent on its converse, namely, the delimitative/attenuative po-. Such prefixes have one notable and neglected property: namely, they systematically require that nominal arguments targeted by them have a non-specific indefinite interpretation, regardless whether the verb they form is perfective or imperfective. I will argue that the semantics of such prefixes is to be assimilated to that of measure phrases and propose an additional novel role for them: namely, as morphological markers of a particular mode of composition that is available for semantically incomplete nominal arguments that have a non-specific indefinite interpretation. If this analysis is correct, then it precludes measure prefixes in Slavic languages from being analyzed as overt morphological exponents of the perfective operator, contrary to the majority of current analyses which take this to be the main or the only function of Slavic prefixes as a whole class. Instead, this analysis enforces the view on which measure prefixes function as modifiers of eventuality types expressed by `aspectless' verbal predicates.


Posted by Tony Marmo at 07:24 BST
Updated: Saturday, 25 September 2004 07:26 BST
Friday, 24 September 2004



by Min-Joo Kim
Source: Sematics Archive

This dissertation investigates how syntactic, semantic, and pragmatic factors interact to produce the Internally-Headed Relative Clause (IHRC) construction in Korean and Japanese. The IHRC construction differs from the more familiar Externally-Headed Relative Clause (EHRC) construction in several ways. First, unlike an EHRC, an IHRC?s content restricts the content of the matrix clause rather than that of the semantic head. Second, its interpretation is heavily influenced by the discourse context in ways not seen with the EHRC. Third, unlike the head of an EHRC, the head of an IHRC does not correspond to any overt syntactic phrase and hence needs to be determined by language users based on the relative clause?s content, the matrix predicate?s semantics, and the discourse context.

The literature offers an abundance of sensitive analyses of the IHRC construction, but it leaves two central questions unanswered: what determines the interpretation of the construction? And, if pragmatic principles play a role, how do they interact with the morphosyntax and the semantics? I answer these questions with an event-based semantic analysis. I show that the construction?s interpretation is determined partly by grammatical factors (e.g., the embedded clause?s aspect and the matrix predicate?s semantics) and partly by pragmatic factors (the discourse context and the discourse participants? world knowledge). In particular, I isolate two sources of the semantic variability of the construction.

First, the matrix clause contains a pronominal definite description, whose denotation contains a free relation variable. The value of this variable is determined by the embedded clause?s event structure, the matrix predicate?s semantics, and the discourse context.

Second, the relative operator that occurs in this construction connects the content of the embedded clause with that of the matrix clause, establishing either a temporal or a causal relation between them, depending on whether the embedded clause describes a temporary state or a permanent state.

This study establishes important connections between the semantics of a definite description and event structure, thereby solving a particularly challenging formal-linking problem, one that afflicts existing E-type pronoun analyses of the IHRC construction. In addition, it provides a constrained but flexible interpretive mechanism for the construction, eliminating the need for many of the extra-grammatical constraints that characterize existing treatments.


Posted by Tony Marmo at 22:52 BST
Updated: Friday, 24 September 2004 22:56 BST
Thursday, 23 September 2004


Combining possibility and knowledge

By Alexandre Costa-Leite
Source: CLE

This paper is an attempt to define a new modality with philosophical interest by combining the basic modal ingredients of possibility and knowledge. This combination is realized via product of modal frames so as to construct a knowability modality, which is a bidimensional constructor of arity one defined in a two-dimensional modal frame. A semantical interpretation for the operator is proposed, as well as an axiomatic system able to account for inferences related to this new modality. The resulting logic for knowability LK is shown to be sound and complete with respect to its class of modal-epistemic product models.


Posted by Tony Marmo at 01:01 BST
Updated: Thursday, 23 September 2004 05:12 BST


Context Dependence and Compositionality

Francis Jeffry Pelletier
Source: Language & Mind

Some utterances of sentences such as `Every student failed the midterm exam' and `There is no beer' are widely held to be true in a conversation despite the facts that not every student in the world failed the midterm exam and that there is, in fact, some beer somewhere. For instance, the speaker might be talking about some particular course, or about his refrigerator. Stanley and Szab?-- (in Mind and Language v. 15, 2000) consider many different approaches to how contextual information might give meaning to these `restricted quantifier domains', and find all of them but one wanting. The present paper argues that their considerations against one of these other theories, considerations that turn on notions of compositionality, are incorrect.


Posted by Tony Marmo at 00:01 BST
Updated: Wednesday, 22 September 2004 20:13 BST
Wednesday, 22 September 2004


Inconsistency without Contradiction

by Achille C. Varzi
Source: Notre Dame J. Formal Logic

Lewis has argued that impossible worlds are nonsense: if there were such worlds, one would have to distinguish between the truths about their contradictory goings-on and contradictory falsehoods about them; and this--Lewis argues--is preposterous. In this paper I examine a way of resisting this argument by giving up the assumption that `in so-and-so world' is a restricting modifier which passes through the truth-functional connectives. The outcome is a sort of subvaluational semantics which makes a contradiction 'A and not-A' false even when both 'A' and 'not-A' are true, just as supervaluational semantics makes a tautology 'A and not-A' true even when neither 'A' and 'not-A' are.


Posted by Tony Marmo at 01:01 BST
Updated: Wednesday, 22 September 2004 03:44 BST
Tuesday, 21 September 2004


Monotonicity in Opaque Verbs

by Thomas Ede Zimmermann
Source: Semantics Archive

In this paper I will defend a quantificational semantic analysis of the unspecific readings of opaque transitive verbs, i.e. verbs that induce a certain kind of ambiguity with respect to their direct object position:
(0a) I owe you a horse.
(0b) Ernest is looking for a lion.
(0c) Tom's horse resembles a unicorn.
(0d) John hired an assistent.

Unlike sentences with ordinary, transparent verbs and indefinite objects, each of (0a-d) allows for a reading that cannot be described in terms of existential quantification over the individuals in the extension of the respective noun. Rather, it seems as though the domain of quantification is shifted, as the following naive paraphrases (of the relevant readings) indicate:
(0'a) I owe you an arbitrary horse.
(0'b) Ernest is looking for an intentional lion.
(0'c) Tom's horse resembles a generic unicorn.
(0'd) John hired a would-be assistent.

Neither arbitrary horses, nor intentional lions, nor generic unicorns are animals, and would-be assistents do not have to be assistents. In fact, one may well wonder just what sort of objects the paraphrases in (0') are supposed to be about. Given their dubious ontological status, an analysis of (0) that can do without them ought to be preferrable to one along the lines of (0') - ceteris paribus. Such analyses have been developed, based on the observation that opaque verbs tend to express propositional attitudes (in a broad sense). Following them, instead of trying to make literal sense of (0'), it is more worthwhile to explore the (admittedly rough) paraphrases under (0") instead, thereby reducing the strangeness of (0) to an interaction of the lexical meaning of the opaque verb and the ordinary meaning of the indefinite as existentially quantifying over the extension of its head noun:
(0"a) I am obliged to see to it that it will be the case that I give you a horse.
(0"b) Jones is trying for it to be the case that Jones finds a lion.
(0"c) Given its outward appearance, Tom's horse could be a unicorn.
(0"d) Jones saw to it that someone would be an assistant.

And semantic analysis does not have to stop here.


Posted by Tony Marmo at 18:22 BST
Updated: Tuesday, 21 September 2004 18:23 BST
Monday, 20 September 2004

The debate goes on: how many truth-values are necessary in Logic?

Truth, Falsity and Borderline Cases

by Miroslava Andjelkovi & Timothy Williamson

According to the principle of bivalence, truth and falsity are jointly exhaustive and mutually exclusive options for a statement. It is either true or false, and not both, even in a borderline case.
That highly controversial claim is central to the epistemic theory of vagueness, which holds that borderline cases are distinguished by a special kind of obstacle to knowing the truth -value of the statement. But this paper is not a defence of the epistemic theory. If bivalence holds, it presumably does so as a consequence of what truth and falsity separately are.
One may therefore expect bivalence to be derivable from a combination of some principles characterizing truth and other principles characterizing falsity. Indeed, such derivations are easily found. Their form will of course depend on the initial characterizations of truth and falsity, and not all such characterizations will permit bivalence to be derived. In this paper we focus on the relation between its derivability and some principles about truth and falsity . We will use borderline cases for vague expressions as primary examples of an urgent challenge to bivalence.


For the debate of the issue, see Pelletier and Stainton?s paper On `The Denial of Bivalence is Absurd'.

Posted by Tony Marmo at 07:39 BST


Indefinites and the Operators they Depend on:
From Japanese to Salish

by Angelika Kratzer
Source: The Semantics Archive

Irene Heim (1982) and Hans Kamp (1981) took up Partee's challenge and proposed theories that simultaneously accounted for the quantificational and discourse reference properties of indefinites. They argued that the quantificational behavior of indefinites was an illusion. It derived from overt or non-overt operators present in semantic representations, or alternatively, from the mechanics of the semantic interpretation procedure itself. According to Heim and Kamp, indefinites introduced mere variables with conditions attached to them into semantic representations. Much of the discussion that followed centered around the question whether indefinites did or did not have quantificational force. The dynamic theories of Groenendijk and Stokhof (1990) and Dekker (1993) maintained that they did, but argued for an unorthodox way of extending their binding domain.
Stephen Berman (1987) observed that within a situation semantics, a standard quantificational theory of indefinites did not conflict with their discourse reference properties, since donkey pronouns could now again be analyzed as disguised definite descriptions, as Robin Cooper (1979) had originally proposed. This idea was further developed in Heim's (1990) paper on E-type pronouns and donkey anaphora. At that point, it looked like a standard quantificational analysis of indefinites was right after all.


Posted by Tony Marmo at 00:11 BST
Updated: Monday, 20 September 2004 07:23 BST
Sunday, 19 September 2004


An abstract dynamic semantics for C

Michael Norrish

This report is a presentation of a formal semantics for the C programming language.
The semantics has been defined operationally in a structured semantics style and covers the bulk of the core of the language.
The semantics has been developed in a theorem prover (HOL), where some expected consequences of the language definition have been proved.


Posted by Tony Marmo at 07:25 BST
Updated: Sunday, 19 September 2004 07:34 BST
Saturday, 18 September 2004


On `The Denial of Bivalence is Absurd'

By Francis Jeffry Pelletier & Robert J. Stainton

Timothy Williamson, in various places, has put forward an argument that is supposed to show that denying bivalence is absurd. This paper is an examination of the logical force of this argument, which is found wanting.


Posted by Tony Marmo at 04:00 BST
Updated: Saturday, 18 September 2004 04:02 BST
Friday, 17 September 2004


Friends and colleagues:
Plurality, coordination, and the structure of DP

by Caroline Heycock & Roberto Zamparelli
Source: Semantics Archive

Starting from an analysis for the diverging crosslinguistic grammaticality of DP-internal
conjunctions such as this [man and woman] are in love, the article develops a theory of
the syntax/semantics interface within the DP and a novel proposal for the interpretation of
conjunction. The main claims are that plural/mass denotations are built in stages within
the DP, by the combined effect of number features and semantic operators associated with
functional heads; that languages differ as to whether the denotation of nouns is ltered for
singular or plural number, and that the word and crosslinguistically denotes SET PRODUCT,
an operation which, in different contexts, can mimic the behavior of intersection and union.


Posted by Tony Marmo at 01:38 BST
Updated: Friday, 17 September 2004 01:45 BST
Thursday, 16 September 2004


Ambiguity and Anaphora with Plurals in Discourse

Nicholas Asher & Linton Wang

We provide examples of plurals related to ambiguity and anaphora that pose problems
or are counterexamples for current approaches to plurals. We then propose a dynamic
semantics based on an extension of dynamic predicate logic (DPL+) to handle these
examples. On our theory, different readings of sentences or discourses containing plurals
don't arise from a postulated ambiguity of plural terms or predicates applying to
plural DPs, but follow rather from different types of dynamic transitions that manipulate
inputs and outputs from formulas or discourse constituents. Many aspects of
meaning can affect the type dynamic transitions: the lexical semantics of predicates to
the left and right of a transition, and number features of DPs and discourse constraints
like parallelism.


Posted by Tony Marmo at 01:01 BST
Updated: Thursday, 16 September 2004 05:26 BST
Wednesday, 15 September 2004


Two Japanese Adverbials and Expressive Content

by Eric McCready
Source: Semantics Archive

This paper considers the semantics and pragmatics of two Japanese adverbial expressions, yoku and yokumo, instances of which are shown in (1) and (2).

The purpose of the present paper is to describe the meaning, distribution, and felicity conditions of these adverbials, and to provide a formal account of them within a version of dynamic semantics.


Posted by Tony Marmo at 01:01 BST
Updated: Wednesday, 15 September 2004 00:17 BST

Topic: Cognition & Epistemology

Existence, Quantification and Time

By Bryan Frances

My view is a novel kind of presentism generated from a new way of looking at quantification and relations, a presentism that promises to combine the best features of rival theories while avoiding their faults.
My objective here is to set out the view in such a way that its status as a new and coherent theory is established.

In the first three sections I will attempt to describe the basics of the theory and defend it from two initial objections:
that it's incoherent, and that when understood in such a way
that it is coherent then it's just eternalism in disguise.
Sections 4 and 5 defend the theory from objections having to do with truthmaking and singular propositions.
Its defense as a view superior to others is provided briefly in ?6.


Posted by Tony Marmo at 01:01 BST
Updated: Wednesday, 15 September 2004 04:02 BST

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