Paul Pietroski

I argue that linguistic meanings are instructions to build monadic concepts that lie between lexicalizable concepts and truth-evaluable judgments. In acquiring words, humans use concepts of various adicities to introduce concepts that can be fetched and systematically combined via certain conjunctive operations, which require monadic inputs. These concepts do not have Tarskian satisfaction conditions. But they provide bases for refinements and elaborations that can yield truth-evaluable judgments. Constructing mental sentences that are true or false requires cognitive work, not just an exercise of basic linguistic capacities

Words indicate concepts, which have various adicities. But words do not, in general, inherit the adicities of the indicated concepts. Lots of evidence suggests that when a concept is lexicalized, it is linked to an analytically related monadic concept that can be conjoined with others. For example, the dyadic concept CHASE(_,_) might be linked to CHASE(_), a concept that applies to certain events. Drawing on a wide range of extant work, and familiar facts, I argue that the (open class) lexical items of a natural spoken language include neither names nor polyadic predicates. The paper ends with some speculations about the value of a language faculty that would impose uniform monadic analyses on all concepts, including the singular and relational concepts that we share with other animals.

The philosophical problem of mental causation concerns a clash between commonsense and scientific views about the causation of human behaviour. On the one hand, commonsense suggests that our actions are caused by our mental states—our thoughts, intentions, beliefs and so on. On the other hand, neuroscience assumes that all bodily movements are caused by neurochemical events. It is implausible to suppose that our actions are causally overdetermined in the same way that the ringing of a bell may be overdetermined by two hammers striking it at the same time. So how are we to reconcile these two views about the causal origins of human behaviour? One philosophical doctrine effects a nice reconciliation. Neuralism, or the token-identity theory, states that every particular mental event is a neurophysiological event and that every action is a physically specifiable bodily movement. If these identities hold, there is no problem of causal overdetermination: the apparently different causal pathways to the behaviour are actually one and the same pathway viewed from different perspectives. This attractively simple view is enjoying a recent revival in fortunes.

I n the normal course of events, children manifest linguistic competence equivalent to that of adults in just a few years. Children can produce and understand novel sentences, they can judge that certain strings of words are true or false, and so on. Yet experience appears to dramatically underdetermine the com- petence children so rapidly achieve, even given optimistic assumptions about children’s nonlinguistic capacities to extract information and form generalizations on the basis of statistical regularities in the input. These considerations underlie various (more specific) poverty of stimulus arguments for the innate specification of linguistic principles. But in our view, certain features of nativist arguments have not yet been fully appreciated. We focus here on three (related) kinds of poverty of stimulus argument, each of which has been supported by the findings of psycholinguistic investigations of child language.

Many concepts, which can be constituents of thoughts, are somehow indicated with words that can be constituents of sentences. But this assumption is compatible with many hypotheses about the concepts lexicalized, linguistic meanings, and the relevant forms of composition. The lexical items simply label the concepts they lexicalize, and that composition of lexical meanings mirrors composition of the labeled concepts, which exhibit diverse adicities. If a phrase must be understood as an instruction to conjoin monadic concepts that correspond to the constituents, lexicalization must be a process in which non-monadic concepts are used to introduce monadic analogues. But given such analogues, along with some thematic concepts, conjunctions can mimic the effect of saturating polyadic concepts. The lexical items efface conceptual adicity distinctions, making it possible to treat a recursive combination of expressions as a sign of monadic predicate conjunction.

We propose that the generalizations of linguistic theory serve to ascribe beliefs to humans. Ordinary speakers would explicitly (and sincerely) deny having these rather esoteric beliefs about language--e.g., the belief that an anaphor must be bound in its governing category. Such ascriptions can also seem problematic in light of certain theoretical considerations having to do with concept possession, revisability, and so on. Nonetheless, we argue that ordinary speakers believe the propositions expressed by certain sentences of linguistic theory, and that linguistics can therefore teach us something about belief as well as language. Rather than insisting that ordinary speakers lack the linguistic beliefs in question, philosophers should try to show how these empirically motivated belief ascriptions can be correct. We argue that Stalnaker's (1984) "pragmatic" account--according to which beliefs are dispositions, and propositions are sets of possible worlds--does just this. Moreover, our construal of explanation in linguistics motivates (and helps provide) responses to two difficulties for the pragmatic account of belief: the phenomenon of opacity, and the so-called problem of deduction.

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.

Here's one way this chapter could go. After defining the terms 'innate' and 'idea', we say whether Chomsky thinks any ideas are innate -- and if so, which ones. Unfortunately, we don't have any theoretically interesting definitions to offer; and, so far as we know, Chomsky has never said that any ideas are innate. Since saying that would make for a very short chapter, we propose to do something else. Our aim is to locate Chomsky, as he locates himself, in a rationalist tradition where talk of innate ideas has often been used to express the following view: the general character of human thought is due largely to human nature

Frege's account of opacity is based on two attractive ideas: every meaningful expression has a sense (Sinn) that determines the expression's semantic value (Bedeutung); and the semantic value of a‘that’‐clause is the thought expressed by its embedded sentence. Considerations of compositionality led Frege to a more problematic view: inside ‘that’‐clauses, an expression does not have its customary Bedeutung. But contrary to initial appearances, compositionality does not entail a familiar substitutivity principle. And Fregeans can exploit this point in a way that lets them reject Bedeutung‐shifting.

A common view is that ceteris paribus clauses render lawlike statements vacuous, unless such clauses can be explicitly reformulated as antecedents of ?real? laws that face no counterinstances. But such reformulations are rare; and they are not, we argue, to be expected in general. So we defend an alternative sufficient condition for the non-vacuity of ceteris paribus laws: roughly, any counterinstance of the law must be independently explicable, in a sense we make explicit. Ceteris paribus laws will carry a plethora of explanatory commitments; and claims that such commitments are satisfied will be as (dis) confirmable as other empirical claims