In this fascinating work, Scott Soames offers a new conception of the relationship between linguistic meaning and assertions made by utterances. He gives meanings of proper names and natural kind predicates and explains their use in attitude ascriptions. He also demonstrates the irrelevance of rigid designation in understanding why theoretical identities containing such predicates are necessary, if true.

It is generally assumed that rigidity plays a key role in explaining the necessary a posteriori status of identity statements, both between proper names and between natural kind terms. However, while the notion of rigid designation is well defined for singular terms, there is no generally accepted definition of what it is for a general term to be rigid. In this paper I argue that the most common view, according to which rigid general terms are the ones which designate (...) the same kind in all possible worlds, fails to deliver a posteriori necessities. I also present an alternative view, on which the work of explaining a posteriori necessities is not done by rigidity, but by a related metasemantic notion, which I call actuality - dependence. (shrink)

Is there a theoretically interesting notion that is a natural extension of the concept of rigidity to general terms? Such a notion ought to satisfy two Kripkean conditions. First, it must apply to typical general terms for natural kinds, stuffs, and phenomena, and fail to apply to most other general terms. Second, true 'identification sentences' (such as 'Cats are animals') containing general terms that the notion applies to must be necessary. I explore a natural extension of the notion of (...) rigidity to general terms, the notion of an essentialist predicate. I argue that, under natural assumptions, this notion satisfies the two Kripkean conditions. (shrink)

In this paper I examine two ways of defining the rigidity of general terms. First I discuss the view that rigid general terms express essential properties. I argue that the view is ultimately unsatisfactory, although not on the basis of the standard objections raised against it. I then discuss the characterisation in terms of sameness of designation in every possible world. I defend that view from two objections but I argue that the approach, although basically right, should be interpreted (...) cautiously. (shrink)

Epistemic modal predicate logic raises conceptual problems not faced in the case of alethic modal predicate logic : Frege’s “Hesperus-Phosphorus” problem—how to make sense of ascribing to agents ignorance of necessarily true identity statements—and the related “Hintikka-Kripke” problem—how to set up a logical system combining epistemic and alethic modalities, as well as others problems, such as Quine’s “Double Vision” problem and problems of self-knowledge. In this paper, we lay out a philosophical approach to epistemic predicate logic, implemented formally in Melvin (...) Fitting’s First-Order Intensional Logic, that we argue solves these and other conceptual problems. Topics covered include: Quine on the “collapse” of modal distinctions; the rigidity of names; belief reports and unarticulated constituents; epistemic roles; counterfactual attitudes; representational vs. interpretational semantics; ignorance of co-reference vs. ignorance of identity; two-dimensional epistemic models; quantification into epistemic contexts; and an approach to multi-agent epistemic logic based on centered worlds and hybrid logic. (shrink)

A paradigmatic case of rigidity for singular terms is that of proper names. And it would seem that a paradigmatic case of rigidity for general terms is that of natural kind terms. However, many philosophers think that rigidity cannot be extended from singular terms to general terms. The reason for this is that rigidity appears to become trivial when such terms are considered: natural kind terms come out as rigid, but so do all other general terms, (...) and in particular all descriptive general terms. This paper offers an account of rigidity for natural kind terms which does not trivialise in this way. On this account, natural kind terms are de jure obstinately rigid designators and other general terms, such as descriptive general terms, are not. (shrink)

What is it for a predicate or a general term to be a rigid designator? Two strategies for answering this question can be found in the literature, but both run into severe difficulties. In this paper, it is suggested that proper names and the usual examples of rigid predicates share a semantic feature which does the theoretical work usually attributed to rigidity. This feature cannot be equated with rigidity, but in the case of singular terms this feature entails (...) their rigidity, as understood in the standard characterisation. Hence, it is appropriate to call this feature proto-rigidity. (shrink)

Michael McKinsey raises several important and far-reaching issues in his critical examination of Beyond Rigidity. I am happy to have a chance to respond, and thereby, I hope, to advance the debate.

In this paper I examine two ways of defining the rigidity of general terms. First I discuss the view that rigid general terms express essential properties. I argue that the view is ultimately unsatisfactory, although not on the basis of the standard objections raised against it. I then discuss the characterisation in terms of sameness of designation in every possible world. I defend that view from two objections but I argue that the approach, although basically right, should be interpreted (...) cautiously. (shrink)

Though it is often claimed that some general terms are rigid designators, it has turned out to be difficult to give a satisfying definition that avoids making all general terms rigid, and even if a non-rigid reading is available, makes that non-rigid reading matter. Several authors have attempted to develop examples that meet the trivialization challenge, with Martí and Martínez-Fernández providing what is, perhaps, the most convincing strategy. I show that the type of example Martí and Martínez-Fernández offer nevertheless fails (...) to meet the trivialization challenge and, accordingly, that we should still have serious doubts about whether continuing the search for a non-trivial definition of general term rigidity would be fruitful. (shrink)

Most discussions of Kripke's Naming and Necessity focus either on Kripke's so-called "historical theory of reference" or his thesis that names are rigid designators. But in response to problems of the rigidity thesis Kripke later points out that his thesis about proper names is a stronger one: proper names are de jure rigid. This sets the agenda for my paper. Certain problems raised for Kripke's view show that the notion of de jure rigidity is in need of clarification. (...) I will try to clarify the notion of de jure rigidity by analyzing characterizations of it given in the literature. I will argue in particular that Kripke can count descriptive names as de jure rigid and that the concept of de jure rigidity should not be explained with recourse to the concept of a semantical rule. The second part of the paper is a critical discussion of arguments intended to show that proper names are not de jure rigid. I will show that these arguments are unconvincing by using Dummett's distinction between assertoric content and ingredient sense. (shrink)

According to the simple proposal about rigidity for predicates, a predicate is rigid (roughly) if it signifies the same property across the relevant worlds. Recent critics claim that this suffers from a trivialization problem: any predicate whatsoever would turn out to be trivially rigid, according to the proposal. In this paper a corresponding "problem" for ordinary singular terms is considered. A natural solution is provided by intuitions concerning the actual truth-value of identity statements involving them. The simple proposal for (...) predicates is then defended, by exploiting corresponding intuitions concerning statements involving their nominalizations, in an analogous manner. (shrink)

Jeffrey King has recently argued: (i) that the semantic value of a sentence at a context is (or determines) a function from possible worlds to truth values, and (ii) that this undermines Jason Stanley's argument against the rigidity thesis, the claim that no rigid term has the same content as a non-rigid term. I show that King's main argument for (i) fails, and that Stanley's argument is consistent with the claim that the semantic value of a sentence at a (...) context is (or determines) a function from worlds to truth values. (shrink)

Rigid expressionism is the view that all natural kind terms and many other kind terms are rigid designators. Rigid expressionists embrace the ‘overgeneralization’ of rigidity, since they hold that not just natural kind terms but all unstructured kind terms are rigid designators. Unfortunately overgeneralization remains a defeating problem for rigid expressionism. It runs together natural kind terms and nominal kind terms in a way that enforces a false semantic uniformity. The Kripke/Putnam view of natural kind terms minus the claim (...) of rigidity is correct, but a traditional descriptivist theory is appropriate for nominal kind terms. None of them should be thought of as either rigid or non-rigid, however. (shrink)

Wright (In Gendler and Hawthorne (Eds.), Conceivability and possibility, 2002) rejects some dominant responses to Kripke’s modal argument against the mind-body identity theory, and instead he proposes a new response that draws on a certain understanding of counterpossibles. This paper offers some defensive remarks on behalf of Lewis’ objection to that argument, and it argues that Wright’s proposal fails to fully accommodate the conceivability intuitions, and that it is dialectically ineffective.

In this paper I discuss two approaches to rigidity. I argue that they differ in the general conception of semantics that each embraces. Moreover, I argue that they differ in how each explains the rigidity of general terms, and in what each presupposes in that explanation.

The simple proposal for a characterization of general term rigidity is in terms of sameness of designation in very possible world. Critics like Schwartz (2002) and Soames (2002) have argued that such a proposal would trivialize rigidity for general terms. Martí (2004) claims that the objection rests on the failure to distinguish what is expressed by a general term and the property designated. I argue here against such a response by showing that the trivialization problem reappears even if (...) one pays attention to such a distinction. (shrink)

In this paper certain aspects of rigidity are studied through Hintikka’s work in modal semantics. The paper surveys Hintikka’s extraordinary struggles with rigidity from the late 50’s to this millennium. I argue that Hintikka’s many ambivalent remarks concerning rigidity become more comprehensible if, first, three different variants of rigidity are distinguished and, second, Hintikka’s largely implicit doctrine of semantic neo-Kantianism is made explicit.

This note makes a small correction to Nathan Salmon's account of rigid designators and persistent designators in Reference and Essence.

Joseph LaPorte in an article on `Kind and Rigidity'(Philosophical Studies, Volume 97) resurrects an oldsolution to the problem of how to understand the rigidityof kind terms and other general terms. Despite LaPorte'sarguments to the contrary, his solution trivializes thenotion of rigidity when applied to general terms. Hisarguments do lead to an important insight however. Thenotions of rigidity and non-rigidity do not usefullyapply at all to kind or other general terms. Extendingthe notion of rigidity from singular (...) terms such as propernames to general terms such as natural kind terms is amistake. (shrink)

I offer a brief formal exploration of a certain natural extension of the notion of rigidity to predicates, the notion of an essentialist predicate. I show that, under reasonable assumptions, true "identification sentences" involving essentialist predicates are necessary, and hence that the notion of essentiality is formally analogous in this respect to the notion of singular term rigidity. /// El artículo hace una breve exploración formal de una extensión natural de la noción de rigidez a los predicados, la (...) noción de predicado esencialista. Muestro que, dados supuestos razonables, las "oraciones de identificación" verdaderas que contienen predicados esencialistas son necesarias, y por tanto que la noción de esencialidad es formalmente análoga en este sentido a la noción de rigidez para los términos singulares. (shrink)

André Gallois (1998) attempts to defend the occasional identity thesis (OIT), the thesis that objects which are distinct at one time may nonetheless be identical at another time, in the face of two influential lines of argument against it. One argument involves Kripke’s (1971) notion of rigid designation and the other, Leibniz’s law (affirming the indiscernibility of identicals). It is reasonable for advocates of (OIT) to question the picture of rigid designation and the version of Leibniz’s law that these arguments (...) employ, but, the problem is, some form of rigidity is required for one to affirm the occasional identity of objects, and some (restricted) version of Leibniz’s law must be conceded if identity really is involved. Gallois accordingly recommends an account of rigidity and a version of Leibniz’s law to this end.1 We find Gallois’ proposals entirely inadequate to their task. We aim in this paper is to explicate and defend an alternative approach for occasional identity theorists. We do not seek to defend (OIT) per se; our aim, rather, is simply to show that the arguments from rigid designation and Leibniz’s law are inconclusive. Let’s begin with an outline of these arguments. (shrink)

In the semantic revolution that has led many philosophers of language away from Fregeanism and towards the acceptance of direct reference, the notion of rigidity introduced by Saul Kripke in Naming and Necessity has played a crucial role. The notions of rigidity and direct reference are indeed different, but proponents of new theories of reference agree that there is a one way connection between them: although not all rigid terms are directly referential (witness rigid definite descriptions), all directly (...) referential terms are rigid. My purpose in this paper is to contest this widely held view. I will argue that, on a certain conception of what direct reference is (a conception present in the works of the main proponents of the theory), the fact that a term is directly referential does not entail that it is rigid. From this conclusion, I will argue, we can learn some substantial lessons about the assumptions and commitments of new theories of reference. (shrink)

Mario Gómez-Torrente (2006) says that whilst theoretical identifications (e.g. 'All lightning is electrical discharge') do not entail their own necessitations, they do entail the necessitation of a weaker statement. And he claims that this weaker entailment serves Kripke's purposes as well as the stronger one would have. I argue that this is false. Section 1 says what the weaker entailment is; section 2 says why it matters. Section 3 argues that the entailment identified at section 1 does not meet the (...) purpose identified at section 2. Section 4 rejects two possible objections. The aim is to illustrate (not establish) the general claim that those 'modal facts' that are not entirely speculative are quite useless. (shrink)

My paper provides reasons in support of the view that vague identity claims originate from a conflict between rigidity and precision in designation. To put this stricly, let x be the referent of the referential terms P and Q. Then, that the proposition “that any x being both a P and a Q” is vague involves that the semantic intuitions at work in P and Q reveal a conflict between P and Q being simultaneously rigid and precise designators. After (...) having shortly commented on an example of vague identity claim, I make the case for my proposal, by discussing how reference by baptism conflicts with descriptive attitudes towards understanding conceptual contents. (shrink)

Th e present paper examines three kinds of theories concerning the rigidity of general terms—extensionalist, essentialist and intensionalist theories. It is argued that both essentialist and intensionalist theories cannot deal successfully with a number of problems and that the notions of rigidity they propose for general terms lack suffi cient explanatory power. A version of the extensionalist theory, supplemented with a hierarchy of intensions, is defended. Th e theory has surprising consequences, e.g., that ‘tiger’ and some other natural (...) kind terms are, contrary to the widespread opinion, non-rigid. (shrink)

We defend the view that defines the rigidity of general terms as sameness of designated universal across possible worlds from the objection that such a characterization is incapable of distinguishing rigid from non-rigid readings of general terms and, thus, that it trivializes the notion of rigidity. We also argue that previous attempts to offer a solution to the trivialization problem do no succeed.

The paper takes a detailed look at a surprising new aspect of the dynamics of rigid bodies. Far from the usual consideration of rigid body theory as a merely technical chapter of classical physics, I demonstrate here that there are solutions to the conservation equations of mechanics that imply the spontaneous, unpredictable splitting of a rigid body in free rotation, something that has direct implications for the problem of causality. The paper also shows that the instability revealed in indeterminist splitting (...) processes does not depend solely on the bodies’ inertial properties but also on the number of dimensions of the physical space they inhabit. The paper concludes with a conjecture on the behavior of rigid bodies in four-dimensional space. (shrink)

The article discusses an idea of how to extend the notion of rigidity to predicates, namely the idea that predicates stand in a certain systematic semantic relation to properties, such that this relation may hold rigidly or nonrigidly. The relation (which I call signification) can be characterised by recourse to canonical property designators which are derived from predicates (or general terms) by means of nominalization: a predicate signifies that property which the derived property designator designates. Whether signification divides into (...) rigid and non-rigid cases will then depend uponwhether canonical property designators divide into rigid and non-rigid ones. But, I shall argue, they do not, and so the only notion of rigidity gained this way is trivial. To show this, I first focus on the kind of canonical property designators which could be thought to be nonrigid, canonical designators such as having the colour of ripe tomatoes which themselves contain non-rigid property designators. An argument to the effect that such complex canonical designators are non-rigid is rebutted, five arguments to the effect that they are rigid are formulated, and finally an explanation of their rigidity based on the general nature of canonical property designators is presented. (shrink)

Most philosophers recognize that applying the standard semantics for complex demonstratives to non-deictic instances results in truth conditions that are anomalous, at best. This fact has generated little concern, however, since most philosophers treat non-deictic demonstratives as marginal cases, and believe that they should be analyzed using a distinct semantic mechanism. In this paper, I argue that non-deictic demonstratives cannot be written off; they are widespread in English and foreign languages, and must be treated using the same semantic machinery that (...) is applied to deictic instances. (shrink)

The question of transtemporal identity of objects in general and persons in particular is an important issue in both philosophy and psychology. While the focus of philosophers traditionally was on questions of the nature of identity relation and criteria that allow to settle ontological issues about identity, psychologists are mostly concerned with how people think about identity, and how they track identity of objects and people through time. In this article, we critically engage with widespread use of inferring folk judgments (...) of identity from study participants’ use of proper names in response to experimental vignettes. We provide reasons to doubt that using this method one can reliably infer judgments of numerical identity over time and transformations. We also critically examine allegedly-Kripkean justification of this method and find it lacking. Merely assuming that names are rigid designators will not help. A study participant’s use of proper names can be taken to track the participant’s identity judgments only if supported by the participant’s belief that names used in the scenario are used rigidly. (shrink)

André Gallois’ (1993) modified account of restrictedly rigid designators (RRDs) does indeed block the objection I made to his original account (Gallois 1986; Ramachandran 1992). But, as I shall now show, there is a deeper problem with his approach which his modification does not shake off. The problem stems from the truth of the following compatibility claim: (CC) A term’s restrictedly rigidly designating (RR-designating) an object x is compatible with it designating an object y in a world W where x (...) exists but is distinct from y.1 It follows from (CC) that the necessary (contingent) truth of a sentence of the form “α is identical with β”, where “α” and “β” are RRDs of objects x and y respectively, does not require the necessary (contingent) identity of x and y. This is borne out by Gallois’ original example (see 1986, p. 58-63). Taking W to be the actual world, we have: (1) “Mary is identical with Mary” is necessarily true; yet “Mary” RR- designates Mary and Alice, which are only contingently identical. 1 I leave it to the reader to check that in Gallois’ own example (1986, p. 58), on the view he defends (pp. 62-63), and despite his modified characterisation of restricted rigidity, RDC# (1993, p. xx), “Mary” RR-designates Alice (as well as Mary) in W, but designates Mary and not A/ice in W1. Gallois has accepted this in correspondence. In light of (CC), while I agree with Gallois (1993, p. 153) that: (7) (a=b & ◊(a≠b)) → (∃x)(∃y)(x=y & ◊(x≠y)) is a theorem given RDC#, I dispute his defence of it (on p. 153). For, if (CC) is correct, the antecedent of (7) could be true even though a and b are identical in every world (where either exists)! (shrink)

Beyond Rigidity is divided into two parts. Part 1 is devoted to the semantics and pragmatics of names, and the sentences, including attitude ascriptions, that contain them. In part 2, the model developed in part 1 is extended to natural kind terms, and simple predicates in which they occur. The model is then used to explain the necessity of certain aposteriori statements containing such predicates.

Macromodels based on microfoundations represent the dominant approach in macroeconomics. These models appear to adopt a clear methodological approach, which promotes internal consistency above external consistency as a necessary condition of admissibility. This paper develops two arguments. The first is that internal consistency makes the development of microfounded macromodels dependent on the pace of theoretical innovation. This had led to an internal debate between ?pragmatists? who argue for limited departures from internal consistency, and ?purists? who claim that this would compromise (...) methodological integrity. The second argument is directly relevant to this debate. It is that the inclusion of price rigidity into these models via short-cuts like Calvo contracts has required a key modification of the microfoundations methodology, such that internal consistency can only be claimed indirectly by appeal to theory developed elsewhere. This modification has repercussions that imply that the microfoundations project is not as unblemished as the ?purists? imagine. (shrink)

I offer an understanding of what it is for a term to be rigid which makes no serious metaphysical commitments to or about identity across possible worlds. What makes a term rigid is not that it 'refers to the same object(property) with respect to all worlds' - rather (roughly) it is that the criteria of application for the term with respect to other worlds, when combined with the criteria of identity associated with the term, ensure that whatever meets the criteria (...) of identity also meets the criteria of application and vice versa - in the simplest case, the criteria of application just are the criteria of identity - but things can be more complex to allow for the necessary a posteriori. This makes rigidity a non-metaphysically loaded semantic matters, and allows us to see that the phenomenon of and involving rigidity - especially the necessary a posteriori - are of no metaphysical significance on their own. (shrink)

In this paper I discuss two approaches to rigidity. I argue that they differ in the general conception of semantics that each embraces. Moreover, I argue that they differ in how each explains the rigidity of general terms, and in what each presupposes in that explanation.

Names are rigid designators, but what kind of rigidity do they exhibit? Both “obstinately” and “persistently” rigid designators pick out O at every world at which they pick out anything at all. They differ in that obstinately rigid designators also pick out O at worlds at which O fails to exist; persistently rigid designators have no extension whatsoever at worlds at which O fails to exist. The question whether names are obstinate or persistent arises in two contexts: in arguments (...) against rigidified descriptivism (on the grounds that names and rigidified descriptions exhibit different kinds of rigidity) and in considerations about what it means for an expression to be “directly referential.” This paper contends that names are persistent, not obstinate. The position thus clarifies the relationship between Millian theories of names and rigid designation, in addition to undermining attempts to rehabilitate the modal argument against rigidified descriptivism. (shrink)

In this paper I am concerned with the problem of applying the notion of rigidity to general terms. In Naming and Necessity, Kripke has clearly suggested that we should include some general terms among the rigid ones, namely, those common nouns semantically correlated with natural substances, species and phenomena, in general, natural kinds -'water', 'tiger', 'heat'- and some adjectives -'red', 'hot', 'loud'. However, the notion of rigidity has been defined for singular terms; after all, the notion that Kripke (...) has provided us with is the notion of a rigid designator. But general terms do not designate single individuals: rather, they apply to many of them. In sum, the original concept of rigidity cannot be straightforwardly applied to general terms: it has to be somehow redefined in order to make it cover them. As is known, two main positions have been put forward to accomplish that task: the identity of designation conception, according to which a rigid general term is one that designates the same property or kind in all possible worlds, and the essentialist conception, which conceives of a rigid general term as an essentialist one, namely, a term that expresses an essential property of an object. My purpose in the present paper is to defend a particular version of the identity of designation conception: on the proposed approach, a rigid general term will be one that expresses the same property in all possible worlds and names the property it expresses. In my opinion, the position can be established on the basis of an inference to the best explanation of our intuitive interpretation and evaluation, relative to counterfactual circumstances, of statements containing different kinds of general terms, which is strictly analogous to our intuitive interpretation and evaluation, relative to such circumstances, of statements containing different kinds of singular ones. I will argue that it is possible to offer a new solution to the trivialization problem that is thought to threaten all versions of the identity of designation conception of rigidity. Finally, I will also sketch a solution to the so-called 'over-generalization and under-generalization problems', both closely related to the above-mentioned one. (shrink)

Although it is common to claim that certain general terms or kind terms are rigid designators and that their rigidity helps explain their behavior in modal contexts, it has turned out to be surprisingly difficult to define an adequate notion of rigidity for general terms. Such definitions tend, as argued in particular by Scott Soames, to lead to a type of overgeneralization that leaves the purported rigidity of general terms explanatorily inert. In recent years, several attempts have (...) been made to circumvent the problem, and the present article focuses on a particular and potentially powerful strategy developed by Joseph LaPorte in his recent book Rigid Designation and Theoretical Identities for blocking one of the core inferences in Soames’s case against general term rigidity. I argue that the type of response LaPorte promotes is bound to fail; though it might initially appear to circumvent the threat of trivialization described by Soames, it is susceptible to a different and arguably even worse kind of trivialization challenge. In conclusion, Soames’s arguments remain a significant obstacle to identifying a non-trivializing definition of kind term rigidity, and we have good reasons to think that an explanation for the modal status of theoretical identity statements must be sought elsewhere. (shrink)

This study assessed the mediating role of cognitive rigidity between temperament and social adjustment in teachers of schools and religious madaris of Pakistan while controlling for the influence of teaching experience. A purposive sample of 300 teachers was recruited from Sargodha and Lahore. Teachers of schools and madaris were matched in terms of their gender, age, and educational qualification. Urdu translated versions of the Approach–Avoidance Temperament Questionnaire, Cognitive Flexibility Scale, and Social Adjustment Scale were used to operationalize the focal (...) constructs of this study. Path analysis revealed that approach temperament negatively and avoidance temperament positively predicted cognitive rigidity, which in turn led to lowered levels of social adjustment. Approach temperament positively and avoidance temperament negatively predicted social adjustment. The negative association between approach temperament and cognitive rigidity was stronger in the group of school teachers, whereas the positive association between avoidance temperament and cognitive rigidity was stronger among teachers of religious madaris. The positive indirect effect of approach temperament on social adjustment through rigidity was stronger for school teachers. Significant differences were observed in the mean scores of teachers of madaris and schools on avoidance temperament, social adjustment, and cognitive rigidity. Implications of the study and suggestions for future research have been reflected upon. (shrink)