We started from the fact that type theory, in the way it was implemented in IL, makes it costly to deal with nominalization processes. We have also argued that the type hierarchy as such doesn't play any real role in a grammar; the classification it provides for different semantic objects is already contained, in some sense, in the categorial structure of the grammar itself. So, on the basis of a theory of properties (Cocchiarella's HST*) we have tried to build a (...) language (IL*) whose syntax does not contain any explicit typing of expressions. Some of the consequences that this move brings about in the overall organization of the grammar can be summarized as follows:it allows for a simple treatment of infinitives, gerunds, factives and, in general, all those phenomena which might be analyzed as cases of nominalization;it provides a simpler and more constrained semantics than IL, since IL* doesn't go beyond second order, and its non-modal basis is axiomatizable;it suggests that the role of logical form in a theory of grammar could be that of a family of theories of semantic objects;it eliminates the extrinsic limitations of a type hierarchy on the choice of the system of syntactic categories.I think that it is interesting to notice how having an explicit semantic framework helps to provide a sense in which it is legitimate to regard the syntax of a language as ‘autonomous’. (shrink)

An argument is developed at some length to show that any semantical theory which treats superficially nonperformative sentences as being governed by performative prefaces at some level of underlying structure must either leave those sentences semantically uninterpreted or assign them the wrong truth-conditions. Several possible escapes from this dilemma are examined; it is tentatively concluded that such hypotheses as the Ross-Lakoff-Sadock Performative Analysis should be rejected despite their attractions.

The paper concentrates on the problem of adequate reflection of fragments of reality via expressions of language and inter-subjective knowledge about these fragments, called here, in brief, language adequacy. This problem is formulated in several aspects, the most being: the compatibility of language syntax with its bi-level semantics: intensional and extensional. In this paper, various aspects of language adequacy find their logical explication on the ground of the formal-logical theory T of any categorial language L generated by the so-called classical (...) categorial grammar, and also on the ground of its extension to the bi-level, intensional and extensional semantic-pragmatic theory ST for L. In T, according to the token-type distinction of Ch.S. Peirce, L is characterized first as a language of well-formed expression-tokens (wfe-tokens) - material, concrete objects - and then as a language of wfe-types - abstract objects, classes of wfe-tokens. In ST the semantic-pragmatic notions of meaning and interpretation for wfe-types of L of intensional semantics and the notion of denotation of extensional semanics for wfe-types and constituents of knowledge are formalized. These notions allow formulating a postulate (an axiom of categorial adequacy) from which follow all the most important conditions of the language adequacy, including the above, and a structural one connected with three principles of compositionality. (shrink)

The paper investigates interpretations of propositional and firstorder logic in which validity is defined in terms of partial indices; sometimes called possibilities but here understood as non-empty subsets of a set W of possible worlds. Truth at a set of worlds is understood to be truth at every world in the set. If all subsets of W are permitted the logic so determined is classical first-order predicate logic. Restricting allowable subsets and then imposing certain closure conditions provides a modelling for (...) intuitionistic predicate logic. The same semantic interpretation rules are used in both logics for all the operators. (shrink)

Italian translation of "On Logical Relativity" (2002), by Luca Morena.

The problem addressed is that of finding a sound characterization of ambiguity. Two kinds of characterizations are distinguished: tests and definitions. Various definitions of ambiguity are critically examined and contrasted with definitions of generality and indeterminacy, concepts with which ambiguity is sometimes confused. One definition of ambiguity is defended as being more theoretically adequate than others which have been suggested by both philosophers and linguists. It is also shown how this definition of ambiguity obviates a problem thought to be posed (...) by ambiguity for truth theoretical semantics. In addition, the best known test for ambiguity, namely the test by contradiction, is set out, its limitations discussed, and its connection with ambiguity's definition explained. The test is contrasted with a test for vagueness first proposed by Peirce and a test for generality propounded by Margalit. (shrink)

What I have attempted to show in the foregoing is that: (1) For any frequency adjective f, there is an element of meaning common to both the adverbial and the generic usage of f; this is a function f′ from propositions to truth-values such that f′(Φ)′ is true at an interval i iff Φ′ is true at subintervals of i distributed through i in a certain way. (2) In an adverbial use of f, f′ functions like the corresponding frequency adverb. (...) (3) In a generic use of f, f′ quantifies the times intervals which a specified object is realized by some stage. (4) In their adverbial usage, frequency adjectives are not regular attributive adjectives at the level at which interpretation takes place, but are perhaps determiners. And (5) in their generic usage, frequency adjectives are adjectives at the level at which interpretation takes place.More generally, I hope to have suggested something of the range of uses to which frequency is put in natural language. That we effortlessly grasp what is meants by Monday, the Columbus Dispatch, autumn, the Today Show, and so on, demonstrates our fluency in interpreting certain sequences of objects, events, or states of affairs as sequences of values of some function cycling on a time-axis. Much more must ultimately be told about the psychological and anthropological significance of frequency. (shrink)

In biscuit conditionals (BCs) such as If you’re hungry, there’s pizza in the fridge, the if clause appears to apply to the illocutionary act performed in uttering the main clause, rather than to its propositional content. Accordingly, previous analyses of BCs have focused on illocutionary acts, and, this, I argue, leads them to yield incorrect paraphrases. I propose, instead, that BCs involve existential quantification over potential literal acts such as assertions, questions, commands, and exclamations, the semantic objects associated with declarative, (...) interrogative, imperative, and exclamative sentences, respectively. Such an existential interpretation of BCs requires only that we add potential literal acts to our inventory of individuals, and it produces reasonable paraphrases in which if has its normal meaning: If you’re hungry,[there’s a (relevant/salient) assertion that] there’s pizza in the fridge. These potential literal act variables are introduced into semantic interpretations and then undergo Existential Closure. Hence, we would expect to see similar interpretations in contexts other than BCs, that is, with other if constructions, with connectives other than if, with potential literal acts other than assertion, and in root sentences. This prediction is borne out, along with the parallel prediction that we cannot quantify over purely illocutionary acts like offers, but only over potential literal acts, those conventionally associated with a particular morphosyntactic shape. (shrink)

Intertheoretic relations are an important topic in the philosophy of science. However, since their classical discussion by Ernest Nagel, such relations have mostly been restricted to relations between pairs of theories in the natural sciences. This paper presents a case study of a new type of intertheoretic relation that is inspired by Montague’s analysis of the linguistic syntax-semantics relation. The paper develops a simple model of this relation. To motivate the adoption of our new model, we show that this model (...) extends the scope of application of the Nagelian models and that it shares the epistemological advantages of the Nagelian model. The latter is achieved in a Bayesian framework. (shrink)

In this paper, I exploit the parallel between epistemic contextualism and metaethical speaker-relativism to argue that a promising way out of two of the primary problems facing contextualism is one already explored in some detail in the ethical case – viz. expressivism. The upshot is an argument for a form of epistemic expressivism modeled on a familiar form of ethical expressivism. This provides a new nondescriptivist option for understanding the meaning of knowledge attributions, which arguably better captures the normative nature (...) of epistemic discourse than descriptivist competitors like invariantism and contextualism. (shrink)

Bradwardine’s solution to the the logical paradoxes depends on the idea that every sentence signifies many things, and its truth depends on things’ being wholly as it signifies. This idea is underpinned by his claim that a sentence signifies everything that follows from what it signifies. But the idea that signification is closed under entailment appears too strong, just as logical omniscience is unacceptable in the logic of knowledge. What is needed is a more restricted closure principle. A clue can (...) be found in speech act pluralism, whereby indirect speech reports are closed under intersubstitutivity of co-referential terms. The conclusion is that solving the semantic paradoxes does not require revision of logic, thus saving logic from paradox. (shrink)

This paper offers an explanation of the fact that sentences of the form (1) ‘X may A or B’ may be construed as implying (2) ‘X may A and X may B’, especially if they are used to grant permission. It is suggested that the effect arises because disjunctions are conjunctive lists of epistemic possibilities. Consequently, if the modal may is itself epistemic, (1) comes out as equivalent to (2), due to general laws of epistemic logic. On the other hand, (...) on a deontic reading of may, (2) is only implied under exceptional circumstances – which usually obtain when (1) is used performatively. (shrink)

The proponents of strong lexicalism hold the view that “words” are formed in the lexicon and are opaque for the syntax ((Dowty 1979), (DiSciullo and Williams 1987), (Jackendoff 1990) and many others). Modular morphology, on the other hand, offers the possibility that at least some words are partially formed in the syntax ((Baker 1988), (Borer 1988), (Hale and Keyser 1994), (Chomsky 1995) and many others). In (Stechow 1995) and (Stechow 1996) it has been argued that facts observed with German wieder (...) “again” cannot be accounted for within the framework of strong lexicalism and therefore favour the second position. The authors of this paper want to check these claims by investigating the behaviour of the German adverb fast “ almost”, the other classical adverb to which the method of decomposition has been applied in the linguistic literature (cf. (McCawley 1971)). Most adverbs cannot look into lexical decomposition structures, but some can. In order to have a suitable name, let us call these D-adverbs. Again and almost are the prototypical representatives of this class. The method adopted is to investigate whether fast has access to different aspects of verbal meaning depending on its position. Following (Dowty 1979), resultative verbs and prepositions are decomposed into BECOME + XP, where XP is the result state. Agentive verbs contain an additional AGENT part. Other thematic relations connecting the subject and the event are HOLDER and cause. If the syntax tells us that an adverb like wieder or fast must have wide scope with respect to BECOME, then we expect other readings than in a configuration where fast can have narrow scope with respect to BECOME. In other words, the motivation for decomposition is syntactic and semantic. The idea is that certain function projections in the classical VP have a meaning and hence scopally interact with adverbs. (shrink)

The existence of complex predicates seems to support an abundant conception of properties. Specifically, the application conditions for complex predicates seem to be explained by the distribution of a sparser base of predicates. This explanatory link might suggest that the existence and distribution of properties expressed by complex predicates are explained by the existence and distribution of a sparser base of properties. Thus, complex predicates seem to legitimize the assumption of a wide array of properties. The additional properties are no (...) explanatory addition to the sparse base. I argue, however, that construing complex predicates as expressing properties undermines the explanatory links between simple and complex predications. The argument explores a variety of accounts of complex predicates currently on offer and develops a number of themes from the work of Herbert Hochberg. (shrink)

The concept ofsemantic interpretation is a source of chronic confusion: the introduction of a notion ofinterpretation can be the result of several quite different kinds of considerations.Interpretation can be understood in at least three ways: as a process of dis-abstraction of formulas, as technical tool for the sake of characterizing truth, or as a reconstruction of meaning-assignment. However essentially different these motifs are and however properly they must be kept apart, these can all be brought to one and the same (...) notion of interpretation: to the notion of a compositional evaluation of expressions inducing a possible distribution of truth values among statements. (shrink)

This paper is about the most important technical problem faced by Structured Meanings Semantics: the reiteration of hyperintensional functors (i.e., functors of -categorial languages of the sort defined by Max Cresswell in [6]). A way to solve this problem in a general and natural way by using Scott's Domains is both suggested and shown. The result is a semantics which unrestrictedly allows reiterations of hyperintensional functors. The semantics is also extended to accommodate -categorial languages with variables.

This paper concerns the semantics of belief-sentences. I pass over ontologically lavish theories which appeal to impossible worlds, or other points of reference which contain more than possible worlds. I then refute ontologically stingy, quotational theories. My own theory employs the techniques of possible worlds semantics to elaborate a Fregean analysis of belief-sentences. In a belief-sentence, the embedded clause does not have its usual reference, but refers rather to its own semantic structure. I show how this theory can accommodate quantification (...) into belief-contexts. I close with skirmishes against the threat posed by the Liar Paradox. (shrink)

The Reduction of the Possible to the Real. Modern philosophy cannot avoid dealing with possible worlds - neither in the field of intensional logic nor in other fields not directly connected with logical investigations. This paper attempts to develop a method to substitute possible worlds by the real world, referring to the works of Stig Kanger and Nino B. Cocchiarella. This is done by investigating the metaphorical and dynamical functions of natural languages. It is proved that this new technique is (...) adequate for use in the semantics of intensional languages. As an example a language is constructed, which is based on the aristotelian view of universal concepts. (shrink)

Quantifiers in Frege's Grundgesetze like are not well-defined because the part Fx & Gx stands for a concept but the yoking conjunction is horizontalised and must stand for a truth-value. This standard interpretation is rejected in favor of a substitutional reading that, it is argued, both conforms better to the text and is well-defined. The theory of the horizontal is investigated in detail and the composite reading of Frege's connectives as made up of horizontals is rejected. The sense in which (...) the Grundgesetze has a many-valued but classical logic is explained by proving that its propositional fragment (under the standard interpretation) and Bochvar's 3-valued logic are instances of the same metatheoretic methods. Historically, the paper argues for a more naive but well-defined reading of the text. Theoretically, it provides a formally adequate statement of that semantics, as well as developing the abstract metatheory which embraces Bochvar's language and the Fregean fragment. (shrink)

SummaryThe paper is a critical survey of the semantics and pragmatics of Indexicals. Both the coordinate‐approach due to Lewis and the semantization of pragmatics attempted by Lakoff are shown to be inadequate. Cresswell's more dynamic approach is shown to withstand the objections raised against it. Sophisticated accounts such as a two dimensional tense logic, or a semantics involving pragmatic models and multiple reference models are shown to be necessary to cope with the intricacies of the use of tense in natural (...) language. Benveniste's division of time into physical, chronic and linguistic time is assessed and criticised for missing the phenomenon of tense anaphora. Finally, the problem of the interaction between the utterance's time and the indexicals is analysed. (shrink)

This paper argues that relativity of truth to a world plays no significant role in empirical semantic theory, even as it is done in the model-theoretic tradition relying on intensional type theory. Some philosophical views of content provide an important notion of truth at a world, but they do not constrain the empirical domain of semantic theory in a way that makes this notion empirically significant. As an application of this conclusion, this paper shows that a potential motivation for relativism (...) based on the relativity of truth to a world fails. (shrink)

This paper addresses two questions: what is the distinction between semantics and pragmatics? And why is this distinction important? These questions are discussed in light of the central explanatory goal of linguistics and in relation to the phenomenon of context sensitivity, as illustrated by relational words with implicit arguments and by so-called quantifier domain restriction. It is concluded that context sensitivity is, in the former case, grammatical or lexical and, in the latter case, neither.

I show that words with indefinite implicit complements occasion a dilemma for their model theory. There has been only two previous attempts to address this problem, one by Fodor and Fodor (1980) and one by Dowty (1981). Each requires that any word tolerating an implicit complement be treated as ambiguous between two different lexical entries and that a meaning postulate or lexical rule be given to constrain suitably the meanings of the various entries for the word. I show that the (...) positing of such an ambiguity runs counter to the facts and propose an alternative solution which does not appeal to ambiguity, meaning postulates or lexical rules. Indeed, I show that the dilemma posed by indefinite implicit complements is posed by all implicit complements and that a general solution to the problem of implicit complements follows from an independently motivated, single treatment of five other problems, that of subcategorization, that of phrasal projections of words, that of defining a model theoretic structure for phrase structure grammars, that of complement polyvalence and that of complement polyadicity. (shrink)

It is arguably desirable to have a theory of meaning that (i) does not identify propositions with sets of worlds, (ii) enables to capture the dynamic character of semantic interpretation and (iii) provides the basis for a semantic program that incorporates and extends the achievements of Montague semantics. A theory of properties and propositions that meets these desiderata is developed and several applications to the semantic analysis of natural languages are explored.