The traditional scope theory of intensionality (STI) (see Russell 1905; Montague 1973; Ladusaw 1977; Ogihara 1992, 1996; Stowell 1993) is simple, elegant, and, for the most part, empirically adequate. However, a few quite troubling counterexamples to this theory have lead researchers to propose alternatives, such as positing null situation pronouns (Percus 2000) or actuality operators (Kamp 1971; Cresswell 1990) in the syntax of natural language. These innovative theories do correct the undergeneration of the original scope theory, but at a (...) cost: the situation pronoun and operator theories overgenerate, as argued extensively by Percus (2000) and Keshet (2008). This paper presents new data that supports the STI over other analyses, such as structures where DPs lose their de re readings in positions where syntactic movement is blocked. These data point the way to a new theory of intensionality. This new theory, called split intensionality, is a modification of the STI which aims to solve the problems raised for the original scope theory without overgenerating. The proposal calls for an additional intensional abstraction operator that creates an expression denoting an intension from an expression denoting an extension. When a DP moves to a position above this operator, it is interpreted de re; otherwise it is de dicto. The crucial part of the new proposal is that a DP may move above this operator and yet remain, for instance, below an intentional verb or inside an if-clause. Therefore, a DP within an island for syntactic movement may be de re and yet not move out of the island when the intensional abstraction operator is also within the island. (shrink)
We provide a cognitive analysis of how children represent belief using mental files. We explain why children who pass the false belief test are not aware of the intensionality of belief. Fifty-one 3½- to 7-year old children were familiarized with a dual object, e.g., a ball that rattles and is described as a rattle. They observed how a puppet agent witnessed the ball being put into box 1. In the agent’s absence the ball was taken from box 1, the (...) child was reminded of it being a rattle, and emphasising its being a rattle it was put back into box 1. Then the agent returned, the object was hidden in the experimenter’s hands and removed from box 1, described as a ‘‘rattle,” and transferred to box 2. Children who passed false belief had no problem saying where the puppet would look for the ball. However, in a different condition in which the agent was also shown that the ball was a rattle they erroneously said that the agent would look for the ball in box 1, ignoring the agent’s knowledge of the identity of rattle and ball. Their problems cease with their mastery of second-order beliefs. Problems also vanish when the ball is described not as a rattle but as a thing that rattles. We describe how our theory can account for these data as well as all other relevant data in the literature. (shrink)
Certain philosophers have held the thesis of the unity of science. As often conceived, the thesis has two parts: the thesis of physicalism and the thesis of extensionality. For each of these two parts there is an outstanding problem, i.e. the problem of intentionality and the problem of intensionality respectively. The purpose of this paper is twofold: first, to make explicit the nature of these two problems, and second, to show to what extent they can be said to be (...) the same problem. Thus I am not at all interested here either to defend or attack this thesis or either of its parts. (shrink)
We formulate a Curry-typed logic with fine-grained intensionality within Turner’s typed predicate logic. This allows for an elegant presentation of a theory that corresponds to Fox and Lappin’s property theory with curry typing, but without the need for a federation of languages. We then consider how the fine-grained intensionality of this theory can be given an operational interpretation. This interpretation suggests itself as expressions in the theory can be viewed as terms in the untyped lambda-calculus, which provides a (...) model of computation. (shrink)
Intensional contexts are typically characterised by an apparent failure of either (A) the principle of the inter-substitution of co-referring terms salva veritate, or (B) existential generalisation. The difficulties which are seen to occur do so in contexts involving either modality or the propositional attitudes. In this paper attempts are made to determine whether or not Scheffler’s inscriptional analysis can provide a viable means of accounting for the problems which are thought to occur in intensional contexts. Somewhat unexpectedly, little effort has (...) been made in the past to address this issue. In this paper it is shown that Scheffler’s theory may be employed to account for the difficulties mentioned above, though further work needs to be done to show precisely how his analysis may be adapted so as to handle modal statements. Popular objections to Scheffler’s inscriptionalism are also addressed, particularly in the light of his theory being used to account for the problems of intensionality. It is found that, with certain qualifications, the aforesaid objections do not show Scheffler’s theory to be an unviable means of accounting for the intensionality problems. (shrink)
The paper focuses on two apparent paradoxes arising from our use of intensional verbs: first, their object can be something which does not exist, i.e. something which is nothing; second, the fact that entailment from a qualified to a non-qualified object is not guaranteed. In this paper, I suggest that the problems share a solution, insofar as they arise in connection with intensional verbs that ascribe mental states. The solution turns on (I) a properly intensional or nonrelational notion of representation (...) and (II) a notion of “putting a representation on display”. (shrink)
The purpose of this paper is to raise a new objection to externalist process reliabilism about epistemic justification. The objection is that epistemic justification is intensional—it does not permit the substitution of co-referring expressions—and reliabilism cannot accommodate that.
A common argumentative strategy employed by anti-reductionists involves claiming that one kind of entity cannot be identified with or reduced to a second because what can intelligibly be predicated of one cannot be predicated intelligibly of the other. For instance, it might be argued that mind and brain are not identical because it makes sense to say that minds are rational but it does not make sense to say that brains are rational. The scope and power of this kind of (...) argument â if valid â are obvious; but if it turns out that âIt makes sense to say that...â creates an opaque context, such arguments will fail. I analyze a possible counterexample to validity and show that it is not conclusive, as it depends on what syntactical construction is given to the premises. This leads to the general observation that the argument form under consideration works for some constructions but not others, and thus to the conclusion that further analysis of intelligibility is called for before it can be known whether the argumentative strategy is open to the anti-reductionist or not. (shrink)
Commonplace syntactic constructions in natural language seem to generate ontological commitments to a dazzling array of metaphysical categories - aggregations, sets, ordered n-tuples, possible worlds, intensional entities, ideal objects, species, intensive and extensive quantities, stuffs, situations, states, courses of events, nonexistent objects, intentional and discourse objects, general objects, plural objects, variable objects, arbitrary objects, vague kinds and concepts, fuzzy sets, and so forth. But just because a syntactic construction in some natural language appears to invoke a new category of entity, (...) are we theoreticians epistemically justified in holding that there are such entities? This would hardly seem sufficient. To be epistemically justified, the ontology to which we theoreticians are committed must pass strict standards: the entities must be of the sort required by our best comprehensive theory of the world. The thesis of this paper is that fine-grained type-free intensional entities are like this. If the thesis is right, these entities have a special objective status perhaps not possessed by some of the other ontological categories associated with special syntactic constructions in natural language. In fact, it is plausible to hold that fine-grained type-free intensional entities provide the proper minimal framework for constructing logical and linguistic theories. In this paper my strategy will be to survey the competing conceptions of fine-grained type-free intensionality and to present arguments in support of one of them. Following this narrowing down process, I will go on to the indicated epistemological considerations. (shrink)
In this paper a connection between intentionality, intensionality, language and emotion will be drawn up through a demonstration of an intimate relationship between the intentionality of emotion and intensionality in language. What will be shown is that the intentionality of emotion can ultimately be traced to the intensionality of emotional contexts. For this purpose, emotive predicates will be categorized in terms of their intensional behavior and regularities. They will then be brought forward for an explication of why (...) and how far the intentionality of emotion is unique. The insights derived from the relevant analyses will then be employed for the implications and ramifications that might be thrown upon the fabric of emotion and language within the space of cognition. (shrink)
We identify a class of paradoxes that is neither set-theoretical nor semantical, but that seems to depend on intensionality. In particular, these paradoxes arise out of plausible properties of propositional attitudes and their objects. We try to explain why logicians have neglected these paradoxes, and to show that, like the Russell Paradox and the direct discourse Liar Paradox, these intensional paradoxes are recalcitrant and challenge logical analysis. Indeed, when we take these paradoxes seriously, we may need to rethink the (...) commonly accepted methods for dealing with the logical paradoxes. (shrink)
Philosophers of language have drawn on metamathematical results in varied ways. Extensionalist philosophers have been particularly impressed with two, not unrelated, facts: the existence, due to Frege/Tarski, of a certain sort of semantics, and the seeming absence of intensional contexts from mathematical discourse. The philosophical import of these facts is at best murky. Extensionalists will emphasize the success and clarity of the model theoretic semantics; others will emphasize the relative poverty of the mathematical idiom; still others will question the aptness (...) of the standard extensional semantics for mathematics. In this paper I investigate some implications of the Gödel Second Incompleteness Theorem for these positions. I argue that the realm of mathematics, proof theory in particular, has been a breeding ground for intensionality and that satisfactory intensional semantic theories are implicit in certain rigorous technical accounts. (shrink)
This essay argues that relativist semantics provide fruitful frameworks for the study of the relationships between meaning and truth-conditions, and consequently for the analysis of the logical properties of expressions. After a discussion of the role of intensionality and indexicality within classic double-indexed semantics, I explain that the non-relativistic identification of the parameters needed for the definition of truth and for the interpretation of indexicals is grounded on considerations that are irrelevant for the assessment of the relationships between meaning (...) and truth. (shrink)
The Univalent Foundations project constitutes what is arguably the most serious challenge to set-theoretic foundations of mathematics since intuitionism. Like intuitionism, it differs both in its philosophical motivations and its mathematical-logical apparatus. In this paper we will focus on one such difference: Univalent Foundations’ reliance on an intensional rather than extensional logic, through its use of intensional Martin-Löf type theory. To this, UF adds what may be regarded as certain extensionality principles, although it is not immediately clear how these principles (...) are to be interpreted philosophically. In fact, this framework gives an interesting example of a kind of border case between intensional and extensional mathematics. Our main purpose will be the philosophical investigation of this system, and the relation of the concepts of intensionality it satisfies to more traditional philosophical or logical concepts such as those of Carnap and Quine. (shrink)
The relationship between Lexical-Functional Grammar (LFG) functional structures (f-structures) for sentences and their semanticinterpretations can be formalized in linear logic in a way thatcorrectly explains the observed interactions between quantifier scopeambiguity, bound anaphora and intensionality.Our linear-logic formalization of the compositional properties ofquantifying expressions in natural language obviates the need forspecial mechanisms, such as Cooper storage, in representing thescoping possibilities of quantifying expressions. Instead, thesemantic contribution of a quantifier is recorded as a linear-logicformula whose use in a proof will establish (...) the scope of thequantifier. Different proofs can lead to different scopes. In eachcomplete proof, the properties of linear logic ensure thatquantifiers are properly scoped. (shrink)
This paper proposes interpretations of the vexed notions of intensionality and intentionality and then investigates their resulting interrelations.The notion of intentionality comes from Brentano, in connection with his view that it can help us understand the mental. Setting aside Husserl’s basic definition of intentionality as not quite in line with Brentano’s explanatory purpose, this paper proposes that intentionality be defined in terms of inexistence and indeterminacy.It results that Brentano’s thesis (that all and only mental phenomena are intentional) will not (...) be strictly true. However, intentional descriptions will always be intensional, though not all intensional descriptions will be intentional. (shrink)
This paper proposes interpretations of the vexed notions of intensionality and intentionality and then investigates their resulting interrelations.The notion of intentionality comes from Brentano, in connection with his view that it can help us understand the mental. Setting aside Husserl’s basic definition of intentionality as not quite in line with Brentano’s explanatory purpose, this paper proposes that intentionality be defined in terms of inexistence and indeterminacy.It results that Brentano’s thesis will not be strictly true. However, intentional descriptions will always (...) be intensional, though not all intensional descriptions will be intentional. (shrink)
A naturalistic theory of rationalization is defended against a fundamental objection. The theory claims that: The rationalizing relation can be fully analysed in causal explanatory terms. However, is rendered problematic by the fact that: Rationalizations exhibit a higher degree of intensionality than ordinary physical causal explanations. To show that can be maintained in the face of , I develop an account of on which and may be reconciled. ;The opening chapter gives an account of the intensionality of ordinary (...) physical causal explanations by developing a counterfactual analysis of causal relevance. Chapter II examines the nature and intensionality of rationalizations. It is argued that despite , a rationalization partly involves a causal relevance relation between its explanans and explanandum. ;In Chapter III, I consider an argument which implies that is false: Davidson's argument that there can be no psychophysical laws. An attempt is made to give a clear and compelling representation of this argument. As I interpret it, the argument depends on the alleged insolubility of the problem of causal deviance in action. ;Chapter IV develops a general theory of deviance according to which any functional system may produce output in a deviant way, and applies this theory to agents. A negative consequence of the theory is that an action may be performed in a deviant way even if the agent's intention causally explains the action . A positive consequence of the theory is that an action is performed in a non-deviant way just in case there is an appropriate causal explanation of why the agent's intention causes him to act. My specific suggestion is that an agent performs an action in a non-deviant way when and only when his intention causes him to act because he "knows how" to act in that way. ;In the last chapter, it is argued that our solution to the problem of deviance can be adapted to account for in causal explanatory terms. In this way and are reconciled. (shrink)
Ascriptions of mental states to oneself and others give rise to many interesting logical and semantic problems. Attitude Problems presents an original account of mental state ascriptions that are made using intensional transitive verbs such as 'want', 'seek', 'imagine', and 'worship'. Forbes offers a theory of how such verbs work that draws on ideas from natural language semantics, philosophy of language, and aesthetics.
I discuss two competing theories of the progressive: the theory proposed in Parsons (1980, 1985, 1989, 1990) and the theory proposed in Landman (1992). These theories differ in more than one way. Landman regards the progressive as an intentional operator, while Parsons doesn't. Moreover, Landman and Parsons disagree on what uninflected predicates denote. For Landman, cross the street has in its denotation complete events of crossing the street; the aspectual contribution of English simple past (perfective aspect) is the identity function. (...) For Parsons, both complete and incomplete events of crossing the street can be in the denotation of the base VP; perfective aspect restricts its denotation to the events that culminate. I present a version of ParsonÕs theory that avoids the problems raised by Landman, in particular the problem posed for Parsons by creation verbs. The repaired version and Landman's theory still differ in the way they analyze uninflected verbs. The repaired version and Landman's theory still differ in the way they analyze uninflected predicates. I present evidence from Slavic languages that both theories are needed. Finally, I discuss some evidence that may favor one or the other approach to the semantics of the English progressive. (shrink)
This paper is about the standard Reflection Principle :235–256, 1984) and the Group Reflection Principle :478–502, 2007; Bovens and Rabinowicz in Episteme 8:281–300, 2011; Titelbaum in Quitting certainties: a Bayesian framework modeling degrees of belief, OUP, Oxford, 2012; Hedden in Mind 124:449–491, 2015). I argue that these principles are incomplete as they stand. The key point is that deference is an intensional relation, and so whether you are rationally required to defer to a person at a time can depend on (...) how that person and that time are designated. In this paper I suggest a way of completing the Reflection Principle and Group Reflection Principle, and I argue that so completed these principles are plausible. In particular, they do not fall foul of the Sleeping Beauty case :143–147, 2000), the Cable Guy Paradox :112–119, 2005), Arntzenius’ prisoner cases :356–370, 2003), or the Puzzle of the Hats :281–300, 2011). (shrink)
On the basis of arguments put forth by (Kripke, 1977a) and (Kripke, 1980), it is widely held that one can sometimes rationally accept propositions of the form "P and not-P" and also that there are necessary a posteriori truths. We will find that Kripke's arguments for these views appear probative only so long as one fails to distinguish between semantics and presemantics—between the literal meanings of sentences, on the one hand, and the information on the basis of which one identifies (...) those literal meanings, on the other. This same failure, it will be argued, underlies the popular thesis that intersubstituting co-referring terms sometimes turns true sentences into false ones and vice versa. Though seemingly plausible, this thesis has a number of counterintuitive consequences, among them that the occurrence of “snow” in “it is true that snow is white” doesn’t refer to snow. An understanding of the distinction between semantics and presemantics suggests a way to develop a semantic system that doesn’t have these consequences and that, moreover, reconciles our intuitions concerning cognitive content with some powerfully argued theses of contemporary philosophy of language. Some of this paper's main contentions are anticipated by Andrzej Boguslawski in his 1994 paper “Sentential Complementation and Truth.”. (shrink)
There are obvious differences between (1) Mary is talking to the Dean and (2) Mary is looking for the Dean. In (1) we can replace "the Dean" by any other coextensional term and preserve truth value; also, from (1) we can infer that there is someone Mary is talking to. Such behavior breaks down in (2): neither intersubstitution of coextensional terms nor existential generalization guarantee preservation of truth value in a sentence like (2). (1) is purely extensional; (2) is intensional.
We use mental files to present an analysis of children's developing understanding of identity in alternative naming tasks and belief. The core assumption is that younger children below the age of about 4 years create different files for an object depending on how the object is individuated. They can anchor them to the same object, hence think of the same object whether they think of it as a rabbit or as an animal. However, the claim is, they cannot yet link (...) their files to one another to represent that they have the same referent. Without linking the information contained in one file is not available in the other file. Hence, when thinking of the object as a rabbit the information that it is also an animal is not available. For representing a person's belief about an object a vicarious file contains what the person believes about the object. To capture that the belief is about that object the vicarious file has to be linked to the regular file, which by assumption children younger than 4 years cannot do. This assumption can therefore explain why problems with alternative naming and understanding false beliefs are overcome at the same age. (shrink)
Ausonio Marras has argued that Jaegwon Kim's principle of explanatory exclusion depends on an implausibly strong interpretation of explanatory realism that should be rejected because it leads to an extensional criterion of individuation for explanations. I examine the role explanatory realism plays in Kim's justification for the exclusion principle and explore two ways in which Kim can respond to Marras's criticism. The first involves separating criteria for explanatory truth from questions of explanatory adequacy, while the second appeals to Kim's fine-grained (...) theory of events. I argue that the first response is unconvincing on its own but when coupled with the second might provide a viable way for Kim to avoid Marras's criticism. However, I show that the second strategy is weak from a polemical point of view because Kim's theory of events already assumes what the principle of explanatory exclusion was introduced to establish: the falsity of nonreductive physicalism. (shrink)
In , Frank Ramsey separates paradoxes into two groups, now taken to be the logical and the semantical. But he also revises the logical system developed in Whitehead and Russellthe intensional paradoxess interest in these problems seriously, then the intensional paradoxes deserve more widespread attention than they have historically received.
The paper is a study of properties of quasi-consequence operation which is a key notion of the so-called inferential approach in the theory of sentential calculi established in . The principal motivation behind the quasi-consequence, q-consequence for short, stems from the mathematical practice which treats some auxiliary assumptions as mere hypotheses rather than axioms and their further occurrence in place of conclusions may be justified or not. The main semantic feature of the q-consequence reflecting the idea is that its rules (...) lead from the non-rejected assumptions to the accepted conclusions.First, we focus on the syntactic features of the framework and present the q-consequence as related to the notion of proof. Such a presentation uncovers the reasons for which the adjective inferential is used to characterize the approach and, possibly, the term inference operation replaces q-consequence. It also shows that the inferential approach is a generalisation of the Tarski setting and, therefore, it may potentially absorb several concepts from the theory of sentential calculi, cf. . However, as some concrete applications show, see e.g., the new approach opens perspectives for further exploration. (shrink)
[Graeme Forbes] In I, I summarize the semantics for the relational/notional distinction for intensional transitives developed in Forbes (2000b). In II-V I pursue issues about logical consequence which were either unsatisfactorily dealt with in that paper or, more often, not raised at all. I argue that weakening inferences, such as 'Perseus seeks a mortal gorgon, therefore Perseus seeks a gorgon', are valid, but that disjunction inferences, such as 'Perseus seeks a mortal gorgon, therefore Perseus seeks a mortal gorgon or an (...) immortal gorgon', are invalid. Since 'a gorgon' and 'a mortal gorgon or an immortal gorgon' are extensionally and intensionally the same quantifier, it is not completely trivial to arrange the semantics of intensional transitives so that this classification of the inferences is obtained. (This paper is an abridged version of Forbes (2001a); the latter will be incorporated into a forthcoming monograph, Attitude Problems.) /// [Jennifer Saul] This paper discusses the question of which verbs are intensional transitives. In particular, I ask which verbs Forbes should take to be intensional transitives. I argue that it is very difficult to arrive at a clear and plausible understanding of what an intensional transitive is-making it difficult to answer these questions. I end by briefly raising some questions about the usefulness of the category of intensional transitives. (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.