Paul Pietroski

Quantificational determiners are often said to be devices for expressing relations. For example, the meaning of _every_ is standardly described as the inclusion relation, with a sentence like _every frog is green_ meaning roughly that the green things include the frogs. Here, we consider an older, non-relational alternative: determiners are tools for creating restricted quantifiers. On this view, determiners specify how many elements of a restricted domain (e.g., the frogs) satisfy a given condition (e.g., being green). One important difference concerns how the determiner treats its two grammatical arguments. On the relational view, the arguments are on a logical par as independent terms that specify the two relata. But on the restricted view, the arguments play distinct logical roles: specifying the limited domain versus supplying an additional condition on domain entities. We present psycholinguistic evidence suggesting that the restricted view better describes what speakers know when they know the meaning of a determiner. In particular, we find that when asked to evaluate sentences of the form _every F is G_, participants mentally group the Fs but not the Gs. Moreover, participants forego representing the group defined by the intersection of F and G. This tells against the idea that speakers understand _every F is G_ as implying that the Fs bear relation (e.g., inclusion) to a second group.

Noam Chomsky offered a fruitful conception of the languages that children regularly acquire and use in human speech. In discussions of meaning, Chomsky often emphasizes complexities of usage and warns against theories that identify word meanings with sets of things that the words are allegedly “true of.” While syntactic structure plays an important role in determining the conditions on reference that complex expressions impose, Chomsky denied that the semantic role of syntax is adequately characterized as a mapping from syntactic structures and extensions of lexical items to extensions of complex expressions. Chomsky began by describing languages as sets of sentences, with sentences described as strings of “formatives.” This familiar simplification was pedagogically useful. It let Chomsky distinguish importantly different kinds of recursive procedures, without yet discussing homophony.

We can use language to say what people did, often describing the same action in different complex ways. Davidson offered an illuminating analysis of action reports like “Miss Scarlet stabbed Colonel Mustard with a dagger in the library,” which involve adverbial modifiers. Part of the challenge here is to say how such modifiers are semantically related to the rest of the sentence. Building on the ancient observation that verbs are often used to describe what happened, Davidson argued that an action report implies the occurrence of an eventthat meets the conditions specified by the report; where an event can be described in endlessly many ways. In this chapter, I review Davidson's account, his arguments in favor of it, and his responses to some initial objections. I also discuss some subsequent work that supports central aspects of Davidson's proposal while also presenting challenges for combining his analysis of action reports with his broader conception of linguistic meaning.

A sentence like every circle is blue might be understood in terms of individuals and their properties or in terms of a relation between groups. Relatedly, theorists can specify the contents of universally quantified sentences in first-order or second-order terms. We offer new evidence that this logical first-order vs. second-order distinction corresponds to a psychologically robust individual vs. group distinction that has behavioral repercussions. Participants were shown displays of dots and asked to evaluate sentences with each, every, or all combined with a predicate. We find that participants are better at estimating how many things the predicate applied to after evaluating sentences in which universal quantification is indicated with every or all, as opposed to each. We argue that every and all are understood in second-order terms that encourage group representation, while each is understood in first-order terms that encourage individual representation. Since the sentences that participants evaluate are truth-conditionally equivalent, our results also bear on questions concerning how meanings are related to truth-conditions.

In Conjoining Meanings, I argue that meanings are composable instructions for how to build concepts of a special kind. In this summary of the main line of argument, I stress that proposals about what linguistic meanings are should make room for the phenomenon of lexical polysemy. On my internalist proposal, a single lexical item can be used to access various concepts on different occasions of use. And if lexical items are often “conceptually equivocal” in this way, then some familiar arguments for externalist conceptions of linguistic meaning need to be reevaluated.

Davidson conjectured that suitably formulated Tarski-style theories of truth can “do duty” as theories of meaning for the spoken languages that humans naturally acquire. But this conjecture faces a pair of old objections that are, in my view, fatal when combined. Foster noted that given any theory of the sort Davidson envisioned, for a language L, there will be many equally true theories whose theorems pair endlessly many sentences of L with very different specifications of whether or not those sentences are true. And if L includes words ‘true’, then for reasons stressed by Tarski, it’s hard to see how any truth theory for L could be correct. Moreover, each of these concerns amplifies the other. Appealing to possible worlds will not help with Foster’s Problem, for reasons that Chomsky discussed in the 1950s, and appealing to trivalent models of truth will not avoid concerns illustrated with Liar Sentences.

Theories of content purport to explain, among other things, in virtue of what beliefs have the truth conditions they do have. The desire for such a theory has many sources, but prominent among them are two puzzling facts that are notoriously difficult to explain: beliefs can be false, and there are normative constraints on the formation of beliefs.2 If we knew in virtue of what beliefs had truth conditions, we would be better positioned to explain how it is possible for an agent to believe that which is not the case. Moreover, we do not say merely of such an agent that he believes that p when p is not the case. We say the agent made a mistake, and often criticize him accordingly; we think agents ought not have false beliefs, and that such beliefs should be changed; etc. An adequate theory of content would, presumably, reveal the source of these normative facts about the mental lives of agents. Indeed, it is typically taken to be an adequacy constraint on a theory of content that it help explain the possibility of error and the "normativity" of content. Teleological theories of content promise to do just this

This paper proposes an Interface Transparency Thesis concerning how linguistic meanings are related to the cognitive systems that are used to evaluate sentences for truth/falsity: a declarative sentence S is semantically associated with a canonical procedure for determining whether S is true; while this procedure need not be used as a verification strategy, competent speakers are biased towards strategies that directly reflect canonical specifications of truth conditions. Evidence in favor of this hypothesis comes from a psycholinguistic experiment examining adult judgments concerning ‘Most of the dots are blue’. This sentence is true if and only if the number of blue dots exceeds the number of nonblue dots. But this leaves unsettled, e.g., how the second cardinality is specified for purposes of understanding and/or verification: via the nonblue things, given a restriction to the dots, as in ‘|{x: Dot(x) & ~Blue(x)}|’; via the blue things, given the same restriction, and subtraction from the number of dots, as in ‘|{x: Dot(x)}| – |{x: Dot(x) & Blue(x)}|’; or in some other way. Psycholinguistic evidence and psychophysical modeling support the second hypothesis

A central goal of modern generative grammar has been to discover invariant properties of human languages that reflect “the innate schematism of mind that is applied to the data of experience” and that “might reasonably be attributed to the organism itself as its contribution to the task of the acquisition of knowledge” (Chomsky, 1971). Candidates for such invariances include the structure dependence of grammatical rules, and in particular, certain constraints on question formation. Various “poverty of stimulus” (POS) arguments suggest that these invariances reflect an innate human endowment, as opposed to common experience: Such experience warrants selection of the grammars acquired only if humans assume, a priori, that selectable grammars respect substantive constraints. Recently, several researchers have tried to rebut these POS arguments. In response, we illustrate why POS arguments remain an important source of support for appeal to a priori structure-dependent constraints on the grammars that humans naturally acquire

Chomsky’s (1995, 2000a) Minimalist Program (MP) invites a perspective on semantics that is distinctive and attractive. In section one, I discuss a general idea that many theorists should find congenial: the spoken or signed languages that human children naturally acquire and use— henceforth, human languages—are biologically implemented procedures that generate expressions, whose meanings are recursively combinable instructions to build concepts that reflect a minimal interface between the Human Faculty of Language (HFL) and other cognitive systems. In sections two and three, I develop this picture in the spirit of MP, in part by asking how much of the standard Frege-Tarski apparatus is needed in order to provide adequate and illuminating descriptions of the “concept assembly instructions” that human languages can generate. I’ll suggest that we can make do with relatively little, by treating all phrasal meanings as instructions to assemble number-neutral concepts that are monadic and conjunctive. But the goal is not to legislate what counts as minimal in semantics. Rather, by pursuing one line of Minimalist thought, I hope to show how such thinking can be fruitful.

Some cases of implicit knowledge involve representations of (implicitly) known propositions, but this is not the only important type of implicit knowledge. Chomskian linguistics suggests another model of how humans can know more than is accessible to consciousness. Innate capacities to focus on a small range of possibilities, thereby ignoring many others, need not be grounded by inner representations of any possibilities ignored. This model may apply to many domains where human cognition “fills a gap” between stimuli and judgment.

The general topic of "Mind and World", the written version of John McDowell's 1991 John Locke Lectures, is how `concepts mediate the relation between minds and the world'. And one of the main aims is `to suggest that Kant should still have a central place in our discussion of the way thought bears on reality' (1).1 In particular, McDowell urges us to adopt a thesis that he finds in Kant, or perhaps in Strawson's Kant: the content of experience is conceptualized; _what_ we experience is always the kind of thing that we could also believe. When an agent has a veridical experience, she `takes in, for instance sees, _that things are thus and so_' (9). McDowell's argument for this thesis is indirect, but potentially powerful. He discusses a tension concerning the roles of experience and conceptual capacities in thought, and he claims that the only adequate resolution involves granting that experiences have conceptualized content. The tension, elaborated below, can be expressed roughly as follows: judgments must be somehow constrained by features of the external environment, else judgments would be utterly divorced from the world they purport to be about; yet our judgments must be somehow free of external control, else we could give no sense to the idea that we are responsible for our judgments

In a recent paper, Bar-On and Risjord (henceforth, 'B&R') contend that Davidson provides no 1 good argument for his (in)famous claim that "there is no such thing as a language." And according to B&R, if Davidson had established his "no language" thesis, he would thereby have provided a decisive reason for abandoning the project he has long advocated--viz., that of trying to provide theories of meaning for natural languages by providing recursive theories of truth for such languages. For he would have shown that there are no languages to provide truth (or meaning) theories of. Davidson thus seems to be in the odd position of arguing badly for a claim that would undermine his own work.

Nativists inspired by Chomsky are apt to provide arguments with the following general form: languages exhibit interesting generalizations that are not suggested by casual (or even intensive) examination of what people actually say; correspondingly, adults (i.e., just about anyone above the age of four) know much more about language than they could plausibly have learned on the basis of their experience; so absent an alternative account of the relevant generalizations and speakers' (tacit) knowledge of them, one should conclude that there are substantive "universal" principles of human grammar and, as a result of human biology, children can only acquire languages that conform to these principles. According to Pullum and Scholz, linguists need not suppose that children are innately endowed with "specific contingent facts about natural languages." But Pullum and Scholz don't consider the kinds of facts that really impress nativists. Nor do they offer any plausible acquisition scenarios that would culminate in the acquisition of languages that exhibit the kinds of rich and interrelated generalizations that are exhibited by natural languages. As we stress, good poverty-of-stimulus arguments are based on specific principles - - confirmed by drawing on (negative and crosslinguistic) data unavailable to children -- that help explain a range of independently established linguistic phenomena. If subsequent psycholinguistic experiments show that very young children already know such principles, that strengthens the case for nativism; and if further investigation shows that children sometimes "try out" constructions that are unattested in the local language, but only if such constructions are attested in other human languages, then the case for nativism is made stronger still. We illustrate these points by considering an apparently disparate -- but upon closer inspection, interestingly related -- cluster of phenomena involving: negative polarity items, the interpretation of 'or', binding theory, and displays of Romance and Germanic constructions in child- English..