Rigid designators for concrete objects and for properties -- On the coherence of the distinction -- On whether the distinction assigns to rigidity the right role -- A uniform treatment of property designators as singular terms -- Rigid appliers -- Rigidity - associated arguments in support of theoretical identity statements: on their significance and the cost of its philosophical resources -- The skeptical argument impugning psychophysical identity statements: on its significance and the cost of its philosophical resources -- (...) The skeptical argument further examined: on resources, allegedly overlooked, for confirming psychological identities. (shrink)

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.

Technology has been at the centre of existentialist (e.g. Heidegger) and sociological (e.g. Marcuse) critique for a long time. The latest versions of criticism rely on the results of “science and technology studies”: they argue that essentialist conceptualisations of technology should be replaced while aiming at “democratizing technology” (e.g. Feenberg). However, even these approaches are characterised by a shortcoming when it comes to providing a normative basis: as contemporary technology intermeshes with the elementary levels of existence (such as perception or (...) cognition), it remains in the blind spot of those users, who could “democratize” it through their critique. Accordingly, the formal normative bases (e.g. the one provided by Feenberg, who relies on Habermas’ democracy principle), need to be complemented with substantive claims. For this purpose, a phenomenological-existentialist framework is elaborated with the help of Merleau-Ponty and Levinas. It is argued that due to the ongoing expansion of social systems relying on various forms of technology (Luhmann), the “mediated flesh” becomes rigid. By losing the plasticity of the chiasm, subjects are exposed to existential crises unmanageable by mere technology (e.g. mental disorders). Such experience of technologically induced social suffering could serve as a normative basis for criticising the over-expansion of technology. (shrink)

The phenomenon of rigid designation - in particular, de jure rigidity - is typically treated metaphysically. The picture is: reference is gained in a way that puts no constraints on what an object in other worlds, or counterfactual situations must be like, in order to be the referent of that term, other than 'being this thing'. This allows 'pure metaphysical' investigation into, and discovery of 'the nature' of the referent. It is argued that this presupposes a 'privileged' ontology, of (...) a sort that is far from obvious. An alternative picture of rigidity is sketched, terms have associated criteria of identity and criteria of application for counterfactual situations. A term is rigid when these coincide. Aside from being a better account of rigidity, it also undermines the picture of rigid terms allowing us to 'metaphysically' investigate the nature of the referent: matters of identity and essence for the referent are settled by these semantic constraints (though it can be done in a way that allows are a posteriori necessities). (shrink)

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)

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)

Kripke defines a rigid designator as one that designates the same object in every possible world in which that object exists. He argues that proper names are rigid. So also, he claims, are various natural kind terms. But we wonder how they could be. These terms are general and it is not obvious that they designate at all. It has been proposed that these kind terms rigidly designate abstract objects. This proposal has been criticized because all terms then seem to (...) come out rigid, thus trivializing rigidity. The paper starts with further criticisms of this proposal aimed particularly at a recent version given by LaPorte. The paper goes on to develop and defend an alternative proposal presented briefly in Devitt and Sterelny (1999): instead of taking those natural kind terms to rigidly designate an object we take them to rigidly apply to the members of their extensions. Schwartz has rightly insisted that a notion of rigidity must do some theoretical work if it is to be interesting. The paper argues that rigid application for kind terms does the same primary work as rigid designation for singular terms, the work of refuting description theories of some terms; and it does the same secondary work, of explaining certain modal phenomena (with one exception). (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)

I have been told that for some twenty minutes after reading this paper Kripke believed I had shown that proper names could be non-rigid designators. (Then, apparently, he found a crucial error in the set-up.) I take great pride in this (alleged) fact.

What does it mean for a general term to be rigid? It is argued by some that if we take general terms to designate their extensions, then almost no empirical general term will turn out to be rigid; and if we take them to designate some abstract entity, such as a kind, then it turns out that almost all general terms will be rigid. Various authors who pursue this line of reasoning have attempted to capture Kripke’s intent by defining a (...) rigid general term as one that applies to the objects in its extension essentially. I argue that this account is significantly mistaken for various reasons: it conflates a metaphysical notion (essentialism) with a semantic one (rigidity); it fails to countenance the fact that any term can be introduced into a language by stipulating that it be a rigid designator; it limits the extension of rigid terms so much that terms such as ‘meter’, ‘rectangle’, ‘truth’, etc. do not turn out to be rigid, when they obviously are; and it wrongly concentrates on the predicative use of a general term in applying a certain test offered by Kripke to determine whether a term is rigid. (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)

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)

ABSTRACTWhile extant replies to Jonathan Schaffer’s putative counterexamples to the transitivity of grounding have made significant strides against the charge of transitivity failure, the replies pay insufficient attention to the common structure of the counterexamples, overlooking a deeper structural feature that contributes to their prima facie plausibility. Putative counterexamples to the transitivity of grounding, I argue, trade on the distinction between what I call ‘rigid’ and ‘non-rigid’ grounding, and confusion over how rigid and non-rigid grounding react when combined pumps the (...) intuition that the counterexamples’ chained conclusions are false. The rigid/non-rigid grounding distinction also reveals plausible weakening inference rules that have been overlooked in treatments of the logic of grounding. (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)

Few philosophers today doubt the importance of some notion of rigid designation, as suggested by Kripke and Putnam for names and natural kind terms. At the very least, most of us want our theories to be compatible with the most plausible elements of that account. Anaphoric theories of reference have gained some attention lately, but little attention has been given to how they square with rigid designation. Although the differences between anaphoric theories and many interpretations of the New Theory of (...) reference are substantial, I argue that rigid designation and anaphoric theories can be reconciled with one another and in fact complement one another in important ways. (shrink)

Joseph Almog says concerning “a certain locus where Quine doesn’t exist…qua evaluation locus, we take to it [singular] propositions involving Quine [as a constituent] which we have generated in our generation locus.” This seems to be either murder, or worse, self-contradiction. It presumes that certain designators designate their designata even at loci where the designata do not exist, i.e., the designators have “Kaplan rigidity.” Against this view, this paper argues that negative existentials such as “Quine does not exist” are (...) true only at ordered couples of loci (times or possible worlds) < l, l’ > such that the constituents of the truthmaker are the designatum itself from l and whatever corresponds to “does not exist” from l’. (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)

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 Naming and Necessity Kripke argues 'intuitively' that names are rigid. Unlike Kripke, Ben-Yami first introduces and justifies the Principle of the Independence of Reference (PIR), according to which the reference of a name is independent of what is said in the rest of the sentence containing it. Ben-Yami then derives rigidity, or something close to it, from the PIR. Additional aspects of the use of names and other expressions in modal contexts, explained by the PIR but not by (...) the rigidity claim, are then discussed. Ben-Yami next examines a difficulty in accepted definitions of rigidity, stemming from the fact that the same name can be used to name different particulars. This difficulty might force us to adopt a revised form of the rigidity claim. (shrink)

The question whether the notion of rigidity can be extended in a fruitful way beyond singular terms has received a standard answer in the literature, according to which non-singular terms designate kinds, properties or other abstract singular objects and generalized rigidity is the same thing as singular term rigidity, but for terms designating such objects. I offer some new criticisms of this view and go on to defend an alternative view, on which non-singular terms designate extensions in (...) general, and generalized rigidity is identity of extension across possible worlds. I develop some fundamental positive considerations that make this view virtually inevitable as a view of generalized rigidity, emphasizing its exclusive ability to offer a purely logical justification of the necessity of several kinds of statements that go beyond true identity statements between rigid singular terms. (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)

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.

The arguments by Pandres that the double valued spherical harmonics provide a basis for the irreducible spinor representation of the three dimensional rotation group are further developed and justified. The usual arguments against the inadmissibility of such functions, concerning hermiticity, orthogonality, behaviour under rotations, etc., are all shown to be related to the unsuitable choice of functions representing the states with opposite projections of angular momentum. By a correct choice of functions and definition of inner product those difficulties do not (...) occur. And yet the orbital angular momentum in the ordinary configuration space can have integer eigenvalues only, for the reason which have roots in the nature of quantum mechanics in such space. The situation is different in the velocity space of the rigid particle, whose action contains a term with the extrinsic curvature. (shrink)

The rigid relation principle, introduced in this article, asserts that every set admits a rigid binary relation. This follows from the axiom of choice, because well-orders are rigid, but we prove that it is neither equivalent to the axiom of choice nor provable in Zermelo-Fraenkel set theory without the axiom of choice. Thus, it is a new weak choice principle. Nevertheless, the restriction of the principle to sets of reals is provable without the axiom of choice.

We study the acceleration and collisions of rigid bodies in special relativity. After a brief historical review, we give a physical definition of the term ‘rigid body’ in relativistic straight line motion. We show that the definition of ‘rigid body’ in relativity differs from the usual classical definition, so there is no difficulty in dealing with rigid bodies in relativistic motion. We then describe The motion of a rigid body undergoing constant acceleration to a given velocity.The acceleration of a rigid (...) body due to an applied impulse.Collisions between rigid bodies. (shrink)

Between James Parkinson's 'shaking palsy' and the first report of the post-encephalitic manifestation — initially not recognizable as a complication of that incipient 'Spanish flu' epidemic — it took over a hundred years to arrive at a clear appreciation and differentiation of its most disabling feature: rigidity. This paper traces the development, step by hesitant or bold step, of the pertinent ideas and terms regarding muscle tone before and after Parkinson, their basis in neuropathological advances as they were made (...) for related syndromes of basal ganglia disorders, toward the eventual clinical correlation. Chief credits, after Sauvages, must go to Charcot for emphasizing the increase in muscle tone, and to Kinnier Wilson for establishing the extrapyramidal connection. (shrink)

It is often thought that endowing a demonstrative with a Fregean sense leaves no room for maintaining that it is also a rigid designator. In addition, some philosophers claim that indexicals - surely the paradigms of singular reference - pose a serious threat to the Fregean sense/ reference approach as they do not comply with the view that singular terms have Fregean senses. In this paper I argue that neither of these is true.

We study rigidity properties of linearly ordered sets (chains) under automorphisms, embeddings, epimorphisms, and endomorphisms. We focus on two main cases: dense subchains of the real numbers, and uncountable dense chains of higher regular cardinalities. We also give a Fraenkel‐Mostowski model which illustrates the role of the axiom of choice in one of the key proofs.

In this paper I argue that questions about the semantics of rigid designation are commonly and illicitly run together with distinct issues, such as questions about the metaphysics of essence and questions about the theoretical legitimacy of the possible-worlds framework. I discuss in depth two case studies of this phenomenon – the first concerns the relation between rigid designation and reference, the second concerns the application of the notion of rigidity to general terms. I end by drawing out some (...) conclusions about the relations between rigid designation, semantic frameworks, reference, and essence. (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)

Here I defend the position that some singular terms for properties are rigid designators, responding to Stephen P. Schwartz’s interesting criticisms of that position. First, I argue that my position does not depend on ontological parsimony with respect to properties – e.g., there is no need to claim that there are only natural properties – to get around the problem of “unusual properties.” Second, I argue that my position does not confuse sameness of meaning across possible worlds with sameness of (...) designation, or rigid designation. Third, I argue that my position does not founder by way of failing to assign rigidity the work of grounding a posteriori necessity. (shrink)

Many in the Christian tradition affirm two things: (1) that Jesus Christ descended to Hades/Limbus Patrum on Holy Saturday and (2) that the human nature of Jesus is a hylemorphic compound, the unity of a human soul and prime matter. I argue that (1) and (2) are incompatible; for the name ‘Jesus’, ‘Christ’, and ‘Jesus Christ’ rigidly designates a human being. But, given a certain view of hylemorphism, the human being, Jesus, ceased to exist in the time between his death (...) and resurrection. So, Jesus did not descend to Hades/Limbus Patrum, even if God the Son did. (shrink)

I do not think the notion of rigidity in designation can be correct, at least not in any way that can serve to ground a semantics purports both to be fundamental in a semiotical sense and to the best science of the day. A careful examination of both content and the character of our best scientific knowledge not cannot support anything like what the notion of rigidity requires, but actually shows the notion to be, at bottom, incoherent. In (...) particular, the scientific meaning of natural kind terms can be determined only within the context of a fixed scientific framework and not sub specie aeternitatis. Along the way, I provide grounds for the rejection of essentialist views of the ontology of natural kinds. (shrink)

This paper addresses recent literature on rigid designation and natural kind terms that draws on the inferentialist approaches of Sellars and Brandom, among others. Much of the orthodox literature on rigidity may be seen as appealing, more or less explicitly, to a semantic form of “the given” in Sellars’s terms. However, the important insights of that literature may be reconstructed and articulated in terms more congenial to the Pittsburgh school of normative functionalism.

Monists and pluralists disagree concerning how many ordinary objects there are in a single situation. For instance, pluralists argue that a statue and the clay it is made of have different properties, and thereby are different. The standard monist’s response is to hold that there is just a single object, and that, under the description “being a statue”, this object is, e.g., aesthetically valuable, and that, under the description “being a piece of clay”, it is not aesthetically valuable. However, Fine (...) provided an ontological reading of the expression “an object under a description”: the theory of rigid embodiments. The debate between monists and pluralists reduplicates in the domain of ordinary occurrences, like walks and conferences. Specifically, they disagree whether an occurrence in progress (also called “process”) like John’s walk that is happening at tn is identical to some completed occurrence (also called “event”) like John’s walk that happened between, e.g., t1 and tn. Under the adoption of the pluralist’s position, the article aims to provide a novel theory of ordinary occurrences that develops the ontological reading of “under a description” to account for occurrences in progress and completed occurrences. As a first result, we formulate a theory according to which both occurrences in progress and completed occurrences are rigid embodiments. As a second result, we argue that the suggested theory is explanatorily powerful to the extent it solves two puzzles that we call “the Puzzle from the Completion of a Process” and “the Metaphysical-cum-Semantical Puzzle”. (shrink)

The notion of rigidity looms large in philosophy of language, but is beset by difficulties. This paper proposes a simple theory of rigidity, according to which an expression has a world-relative semantic property rigidly when it has that property at, or with respect to, all worlds. Just as names, and certain descriptions like The square root of 4, rigidly designate their referents, so too are necessary truths rigidly true, and so too does cat rigidly have only animals in (...) its extension. After spelling out the theory, I argue that it enables us to avoid the headaches that attend the misbegotten desire to have a simple rigid/non-rigid distinction that applies to expressions, giving us a simple solution to the problem of generalizing the notion of rigidity beyond singular terms. (shrink)

Rigid designators designate whatever they do in all possible worlds. Mathematical definite descriptions are usually considered paradigmatic examples of such expressions. The main aim of the present paper is to challenge this view. It is argued that mathematical definite descriptions cannot be rigid in the same sense as ordinary empirical definite descriptions because—assuming that mathematical facts are not determined by goings on in possible worlds—mathematical descriptions designate whatever they do independently of possible worlds. Nevertheless, there is a widespread practice of (...) treating mathematical definite descriptions as rigid. Apart from this, there might be theoretical reasons for admitting that they are rigid in some sense. The second part of the paper suggests a way out. Borrowing from ideas proposed by Kit Fine, it develops and defends an extended notion of rigidity, which can be applied to mathematical definite descriptions. Importantly, this notion is fully compatible with the claim that mathematical facts are independent of possible worlds. (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)

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)