Kripke distinguishes necessity and priority as two different categories: priority is a notion of epistemology, while necessity is a notion of metaphysics. Based on this fundamental argument, Kripke objects to Descriptivism, which takes certain properties as the criteria of identity across all possible worlds, and he argues for the legitimacy of a posteriori necessary truths. Kripke also criticizes Russell’s methods for dealing with empty descriptions, and he puts forward a modal world to explain the rigidity of proper names. However, the (...) concept of rigid designation faces some challenges, including Kripke admitting to weak essentialism when he rejects transworld identification, and the fact that the truth value of a sentence containing a rigid designator may change. (shrink)

This is an essay written for undergraduates who are confused about what a rigid designator is.

In Kant, Science, and Human Nature, Robert Hanna argues against a version of scientific realism founded on the Kripke/Putnam theory of reference, and defends a Kant-inspired manifest realism in its place. I reject Kriple/Putnam for different reasons than Hanna does, and argue that what should replace it is not manifest realism, but Kant‘s own scientific realism, which rests on a radically different theory of reference. Kant holds that we picture manifest objects by uniting manifolds of sensation using concepts-qua-inferential-rules. When these (...) rules are demonstrated to be invalid, we replace the picture of the macroscopic world with a picture of the microscopic entities of theoretical science that unites the very same manifolds using different rules of inference. Thus, we refer to "unobservable" theoretical entities in the same way that we do manifest ones: by specifying both their determinate location in space and time and the concepts by which they are understood. (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)

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)

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)

The rigid designation of proper names and natural kind terms is the most well-known doctrine of Kripke’s Naming and Necessity (1981). On the basis of rigidity, Kripke has shown that proper names and natural kind terms do not refer via a description as argued by descriptivists. In response to Kripke several people have argued that all general terms could be interpreted rigidly, which would make the notion of rigidity trivial. This leads to the ‘rigidity problem’: the notion of (...) rigidity cannot be used to argue against descriptivism anymore. I will show that the rigidity problem appears on a larger scale: firstly, because it appears independently of the trivialisation problem, secondly, because it appears for descriptions acting like singular terms as well. I will argue, however, that proper names and natural kind terms differ in an important manner from rigid descriptions. While the first are de jure rigid, the latter are de facto rigid. I will show that the rigidity problem indeed appears for de facto rigidity, but not for de jure rigidity, with the result that Kripke’s argument against descriptivism can withstand. (shrink)

Standard rigid designator accounts of a name’s meaning have trouble accommodating what I will call a descriptive name’s “shifty” character -- its tendency to shift its referent over time in response to a discovery that the conventional referent of that name does not satisfy the description with which that name was introduced. I offer a variant of Kripke’s historical semantic theory of how names function, a variant that can accommodate the character of descriptive names while maintaining rigidity for proper (...) names. A descriptive name’s shiftiness calls for a semantic account of names that makes their semantic values bipartite, containing both traditional semantic contents and what I call "modes of introduction." Both parts of a name's semantic value are derived from the way a name gets introduced into discourse -- from what I refer to as its "context of introduction." Making a name's semantic value bipartite in this way allows for a definite description to be a part of proper name's meaning without thereby sacrificing that name’s status as a rigid designator. On my view, a definite description is part of descriptive name’s mode of introduction. That is, it is part of what determines the content assigned to that name. As it turns out, making a definite description part of a descriptive name’s mode of introduction allows for that definite description to play the role of a mere reference-fixer regarding that name’s content, as Kripke would have it. However, my account allows a definite description to fix a descriptive name’s content actively over time, thereby explaining its inherent shiftiness. (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)

On Kripke’s intended definition, a term designates an object x rigidly if the term designates x with respect to every possible world in which x exists and does not designate anything else with respect to worlds in which x does not exist. Kripke evidently holds in Naming and Necessity, hereafter N&N (pp. 117–144, passim, and especially at 134, 139–140), that certain general terms – including natural-kind terms like ‘‘water’’ and ‘‘tiger’’, phenomenon terms like ‘‘heat’’ and ‘‘hot’’, and color terms like (...) ‘‘blue’’ – are rigid designators solely as a matter of philosophical semantics (independently of empirical, extra-linguistic facts). As a consequence, Kripke argues, identity statements involving these general terms are like identity statements involving proper names (e.g., ‘‘Clark Kent=Superman’’) in that, solely as a matter of philosophical semantics, they express necessary truths if they are true at all. But whereas it is reasonably clear what it is for a (first-order) singular term to designate, Kripke does not explicitly say what it is for a general term to designate. General terms are standardly treated in modern logic as predicates, usually monadic predicates. There are very forceful reasons – due independently to Church and Godel, and ultimately to Frege – for taking predicates to designate their semantic extensions. But insofar as the extension of the general term ‘‘tiger’’ is the class of actual tigers (or its characteristic function), it is clear that the term does not rigidly designate its extension, since the class of tigers in one possible world may differ from the class of tigers in another. What, then, is it for ‘‘tiger’’ to be rigid? (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)

The principal question addressed is whether there is a division among common nouns which is similar to a familiar division among noun phrases that designate particular-level individuals: the one which is captured in the relevant literature as the difference between de jure rigid and not de jure rigid singular terms. In relation with the previous philosophical literature relevant to noun rigidity it is argued that the extant positions on the matter are not defended on the basis of well-founded (...) syntactic categories and proper semantic arguments. Proper ways to argue for rigidity ascriptions to nouns are described. Then, such arguments are sought for the case of rigid/non-rigid division among count common nouns. It is shown that there are plausible, albeit inconclusive, reasons to hold that among common nouns (N-bar expressions) only simple common nouns are kind designators, and that if that is the case these simple common nouns will have to be reckoned as de jure rigid designators. (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)

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.

In this admirable book, Scott Soames provides well defended answers to some of the most difficult and important questions in the philosophy of language, and he does so with characteristic thoroughness, clarity, and rigor. The book's title is appropriate, since it does indeed go ‘beyond rigidity’ in many ways. Among other things, Soames does the following in the course of the book. He persuasively argues that the main thesis of Kripke's Naming and Necessity—that ordinary names are rigid designators—can be (...) extended to the more general thesis that simple proper names are synonymous with neither nonrigid nor rigidified descriptions, and so have no descriptive content whatever. He thoroughly defends and places in the context of a larger semantic theory the Millian thesis that the sole semantic contents of most proper names are the names' referents, so that sentences containing such names semantically express singular Russellian propositions. He provides and defends at length an innovative pragmatic account of why substitution of co-referring proper names in cognitive contexts intuitively fails to be truth preserving, even though it seems to follow from the Millian thesis that such substitution must be semantically valid. And he thoroughly and persuasively defends a semantic theory of natural kind terms that explains how, following Kripke and Putnam, theoretical identities involving such terms can express a posteriori necessities, even though on Soames's theory, and contrary to the Kripke-Putnam view, such terms are neither names of natural kinds nor rigid designators in any interesting sense. (shrink)

In this admirable book, Scott Soames provides well defended answers to some of the most difficult and important questions in the philosophy of language, and he does so with characteristic thoroughness, clarity, and rigor. The book's title is appropriate, since it does indeed go ‘beyond rigidity’ in many ways. Among other things, Soames does the following in the course of the book. He persuasively argues that the main thesis of Kripke's Naming and Necessity—that ordinary names are rigid designators—can be (...) extended to the more general thesis that simple proper names are synonymous with neither nonrigid nor rigidified descriptions, and so have no descriptive content whatever. He thoroughly defends and places in the context of a larger semantic theory the Millian thesis that the sole semantic contents of most proper names are the names' referents, so that sentences containing such names semantically express singular Russellian propositions. He provides and defends at length an innovative pragmatic account of why substitution of co-referring proper names in cognitive contexts intuitively fails to be truth preserving, even though it seems to follow from the Millian thesis that such substitution must be semantically valid. And he thoroughly and persuasively defends a semantic theory of natural kind terms that explains how, following Kripke and Putnam, theoretical identities involving such terms can express a posteriori necessities, even though on Soames's theory, and contrary to the Kripke-Putnam view, such terms are neither names of natural kinds nor rigid designators in any interesting sense. (shrink)

examine Nathan Salmon’s solution to the problem of trivialization, as it arises for conceptions of general term rigidity that construe it as identity of designation across possible worlds. I argue that he does not succeed in showing that some alleged general terms, such as “the colour of the sky” are non-rigid, but also that a small class of different examples that he presents, which can be construed as second order descriptions, are indeed non-rigid general terms, although for (...) reasons different from those he thought. (shrink)

In this paper we discuss how Causal Decision Theory should be modified to handle a class of problematic cases involving deterministic laws. Causal Decision Theory, as it stands, is problematically biased against your endorsing deterministic propositions (for example it tells you to deny Newtonian physics, regardless of how confident you are of its truth). Our response is that this is not a problem for Causal Decision Theory per se, but arises because of the standard method for assessing the truth of (...) certain counterfactuals. The truth of deterministic laws is `modally fragile' on the standard semantics for counterfactuals: if determinism is true and you were to do otherwise, the laws would be different. We provide two ways of avoiding this problem: 1) supplement the standard semantics for counterfactuals with impossible worlds, or 2) introduce rigid designators into the description of problematic decision situations. We argue that both of these approaches are well-motivated and can be readily incorporated into Lewisian Causal Decision Theory. (shrink)

This paper contributes to the debate regarding the semantic type of singular referential names. According to one view, known as referentialism, names rigidly designate individuals (Kripke 1972, Abbott 2002, Leckie 2013, Jeshion 2015, Schoubye 2017). According to another view, known as predicativism, names designate properties of individuals (Burge 1973, Geurts 1997, Bach 2002, Elbourne 2005, Matushansky 2008, Fara 2015). Most predicativist accounts claim that bare names in English occur with a phonologically null determiner, a proposal that is based on languages (...) like Greek where names require a determiner in argument position. Novel data from both English and Greek show that names can be nonrigid designators under modal operators ("Aristotle may teach Socrates") and bound variables under quantifiers ("in every set of twins, Helen is a musician"), challenging referentialism. As for rigidity, one possible source of this phenomenon is the proprial article, a name-specific determiner found in Catalan and other languages that may be null in English and homophonous with the definite article in Greek (Ghomeshi and Massam 2009, Muñoz 2019, Izumi and Erickson 2021). While much further research is needed, the data suggest that the proper analysis of names is grounded in predicativism rather than referentialism. (shrink)

This paper is an attempt to present a Kripkean (Causal) picture of Reference where the cognitive content in fixing reference plays a vital role. It also points out that Kripke is not a pure causal theorist. By introducing Thomas Kuhn and his theory on vulnerability of the rigid designation, I have shown that there is a danger for causal theory of reference. However Kuhn’s argument fails to have an impact if a Knowledge aspect is augmented to Kripkean theory (...) of reference. This new causal theory of reference preserves the truth of the referential term in spite of the vulnerability of the rigid designation and problem of reference change. It can also adequately answer the question of theoretical terms reference failure. (shrink)

A distinction is drawn among predicates, open sentences (or open formulas), and general terms, including general-term phrases. Attaching a copula, perhaps together with an article, to a general term yields a predicate. Predicates can also be obtained through lambda-abstraction on an open sentence. The issue of designation and semantic content for each type of general expression is investigated. It is argued that the designatum of a general term is a universal, e.g., a kind, whereas the designatum of a predicate (...) is a class (or its characteristic function) and the designatum of an open sentence is a truth-value. Predicates and open sentences are therefore typically non-rigid designators. It is argued further that certain general terms, including phrases, are invariably rigid designators, whereas certain others (general definite descriptions) are typically non-rigid. Suitable semantic contents for predicates, open sentences, and general terms are proposed. Consequences for the thesis of compositionality are drawn. (shrink)

Expressions typically thought to be rigid designators can refer to distinct individuals in the consequents of counterfactuals. This occurs in counteridenticals, such as “If I were you, I would arrest me”, as well as more ordinary counterfactuals with clearly possible antecedents, like “If I were a police officer, I would arrest me”. I argue that in response we should drop rigidity and deal with de re modal predication using something more flexible, such as counterpart theory.

Resumo O meu objetivo neste artigo é examinar criticamente o argumento de Kripke contra a teoria da identidade tipo-tipo. Assumindo a tese da necessidade da identidade, bem como a tese da designação rígida, Kripke sustenta que se a dor é idêntica à estimulação das fibras C, então a dor é necessariamente idêntica à estimulação das fibras C. No entanto, precisamente porque a proposição expressa pela frase “a dor não é idêntica à estimulação das fibras C” é uma possibilidade metafísica, Kripke (...) conclui, por modus tollens, que não há identidade entre dor e estimulação das fibras C. Por isso, a teoria da identidade tipo-tipo não é uma solução bemsucedida para o problema da mente-corpo. Este artigo tem duas partes. Na primeira parte, que é expositiva, apresento o argumento de Kripke contra a teoria da identidade tipo-tipo. Subsequentemente, ponho em causa o argumento de Kripke, argumentando que não é procedente, pois a nossa situação epistémica atual não nos permite determinar se é metafisicamente possível a dor não ser idêntica à estimulação das fibras C. Assim, Kripke não refuta a teoria da identidade tipo-tipo. Palavras-chave : designação rígida, filosofia da mente, identidade tipo-tipo, Kripke, necessidade da identidadeMy aim in this paper is to critically assess Kripke’s argument against the type-type identity theory. Assuming the thesis of the necessity of identity, as well as the thesis of rigid designation, Kripke holds that if pain is identical with C-fibre firing, then pain is necessarily identical with C-fibre firing. However, precisely because the proposition expressed by the sentence “pain is not identical with C-fibre firing” is a metaphysical possibility, Kripke concludes, by modus tollens, that pain and C-fibre firing are not identical. Therefore, the type-type identity theory is not a successful solution to the mind-body problem. So this paper has two parts. In the first part, which is expositive, I present Kripke’s argument against the type-type identity theory. After that, I will dispute Kripke’s argument, arguing that it is not sound, for our current epistemic situation does not allow us to determine whether it is a metaphysical possibility that pain is not identical with C-fibre firing. Thus, Kripke does not refute the type-type identity theory. Keywords : Kripke, necessity of identity, philosophy of mind, rigid designation, type-type identity. (shrink)

The essay presents Saul Kripke's argument for mind/body-dualism and makes the suppositions explicit on which it rests. My claim, inspired by Richard Boyd, is that even if one of Kripke’s central suppositions - the principle of necessity of identities using rigid designators - is shared by the non-traditional identity theorist, it is still possible for her to rebut Kripke’s dualism.

Standard approaches to proper names, based on Kripke's views, hold that the semantic values of expressions are (set-theoretic) functions from possible worlds to extensions and that names are rigid designators, i.e.\ that their values are \emph{constant} functions from worlds to entities. The difficulties with these approaches are well-known and in this paper we develop an alternative. Based on earlier work on a higher order logic that is \emph{truly intensional} in the sense that it does not validate the axiom scheme (...) of Extensionality, we develop a simple theory of names in which Kripke's intuitions concerning rigidity are accounted for, but the more unpalatable consequences of standard implementations of his theory are avoided. The logic uses Frege's distinction between sense and reference and while it accepts the rigidity of names it rejects the view that names have direct reference. Names have constant denotations across possible worlds, but the semantic value of a name is not determined by its denotation. (shrink)

We discuss central aspects of history of the concept of an affine differentiable manifold, as a proposal confirming the need for using some quantitative methods (drawn from elementary Model Theory) in Mathematical Historiography. In particular, we prove that this geometric structure is a syntactic rigid designator in the sense of Kripke-Putnam.

In this paper, I will propose a provisional blueprint of the notion of consciousness. I will start an analysis of the notion from the way we generally use the term “consciousness” in our ordinary language. In this regard, I will use Saul Kripke’s direct reference theory to define the term “consciousness” in a non-descriptive way, that is, interpreting it as a rigid designator. Then, I will critically discuss the idea of a necessary a posteriori relationship between consciousness and brain (...) activity, arguing instead that consciousness is intrinsically related to the concept of subjectivity. (shrink)

One reason to think that names have a predicate-type semantic value is that they naturally occur in count-noun positions: ‘The Michaels in my building both lost their keys’; ‘I know one incredibly sharp Cecil and one that's incredibly dull’. Predicativism is the view that names uniformly occur as predicates. Predicativism flies in the face of the widely accepted view that names in argument position are referential, whether that be Millian Referentialism, direct-reference theories, or even Fregean Descriptivism. But names are predicates (...) in all of their occurrences; they are predicates that are true of their bearers. When a name appears as a bare singular in argument position, it really occupies the predicate position of what in this essay is called a denuded definite description: a definite description with an unpronounced definite article. Sloat provided good evidence for this. The definite article is sometimes pronounced with names in the singular: ‘The Ivan we all love doesn't feel well’. Sloat proposed a disjunctive generalization of when the definite article must be pronounced with a singular name. This essay shows that by slightly revising Sloat's generalization, we arrive at a simple, nondisjunctive, syntactic rule that governs the overt appearance of the definite article with singular names. But Ivan does not necessarily bear the name ‘Ivan’, so one might worry that the sentence “Ivan might not have had ‘Ivan’ as a name” would incorrectly be predicted false. This essay shows that Predicativism does not have this consequence by showing that incomplete definite descriptions in general and incomplete denuded descriptions, such as ‘Øthe Ivan’, in particular are rigid designators. (shrink)

This paper explores the hypothesis that proper names serve as anchors identifying the individuals in the possible or real world. This hypothesis is tested on Old Icelandic narratives. A prominent feature of Old Icelandic sagas is that the narrative matter is not quite new. A Saga is reliable iff it refers to the events relevant for its audience and accepted as true by the whole community. I argue that proper names must be regarded as references to the background knowledge of (...) the medieval audience. I follow two contemporary Sagas based on the fresh events and show that proper names in a Saga mind were arranged in form of a database, each type of a personal designation having its charachteristic text-building profile. The form of the name and its frequency in the Saga are linked with the rank of the character. The high number of people mentioned in the Sagas is explained by the fact that the Sagas aimed at describing the real world, where the names of the individuals and the events they were involved cross-identified each other. Every character had its rigid identifiers. The total amount of propria is always higher than the number of active figures. I classify the Saga characters into five ranks and discuss their information-structural profiles. (shrink)

The urgent need to address climate change poses a range of complex moral and practical concerns, not least because rising to the challenge will require cooperation among countries that differ greatly in their wealth, the extent of their contributions to the problem, and their vulnerability to environmental and economic shocks. This thesis by publication in the field of climate ethics aims to characterise a range of national responsibilities associated with acting on climate change (Part I), and to identify proposals for (...) fulfilling those responsibilities through fair and feasible institutional arrangements (Part II). I aim not only to address substantive gaps in scholarly understanding of those responsibilities, but also to strengthen the ability of climate ethics to engage meaningfully with climate policy. Chapter 2 addresses the question of whether wealthy countries owe a “climate debt” to poor countries. It finds that even if climate debt (suitably interpreted) may provide a coherent and morally plausible concept, its political value as a discursive frame that can provide a basis for cooperation is limited. Chapter 3 investigates the role that equity may play in negotiations on a long-term climate change agreement. It argues that developed and developing countries may reach a “principled bargain” if both converge on a way of differentiating their responsibilities that places less emphasis on a rigid dichotomy between the two groups and more emphasis on objective criteria relating to their contribution to the problem and capacity to address it. Chapter 4 explores a question largely overlooked in climate ethics, namely whether wealthy countries owe compensation to those who are adversely affected by the climate policies which they enact. I find that enacting countries have responsibilities to compensate both domestic and foreign citizens who would suffer disproportionate losses from the effects of policies. Chapter 5 assesses whether wealthy countries may legitimately adopt unilateral (or “fragmented”) rather than multilaterally coordinated approaches to raising climate finance for developing countries. It finds that coordinated target-setting, effort sharing and oversight arrangements are essential, but that a mix of unilateral and coordinated approaches to raising funds will be necessary for securing legitimacy. In Chapter 6, through addressing the broader question of what should count as official aid, I consider whether wealthy countries may draw on aid budgets to support developing countries’ efforts to address climate change. I find that the current definition of official aid should be retained but supplemented by specified exclusions from eligibility in order to preserve the aid regime’s integrity. Nevertheless, some climate finance may justifiably be counted as aid provided that concerns relating to the diversion of aid funding are addressed. In addressing these research questions, the thesis seeks not only to make original theoretical contributions to climate ethics but also to strengthen broader scholarly understanding of the ways in which ethics and international public policy may inform one another, particularly by highlighting the role of framing considerations (Chapter 2), feasibility considerations (Chapter 3), and the ways in which principles of fairness and legitimacy map onto institutional functions (Chapters 4, 5 and 6). (shrink)

It is widely agreed that the intelligibility of modal metaphysics has been vindicated. Quine's arguments to the contrary supposedly confused analyticity with metaphysical necessity, and rigid with non-rigid designators.2 But even if modal metaphysics is intelligible, it could be misconceived. It could be that metaphysical necessity is not absolute necessity – the strictest real notion of necessity – and that no proposition of traditional metaphysical interest is necessary in every real sense. If there were nothing otherwise “uniquely metaphysically (...) significant” about metaphysical necessity, then paradigmatic metaphysical necessities would be necessary in one sense of “necessary”, not necessary in another, and that would be it. The question of whether they were necessary simpliciter would be like the question of whether the Parallel Postulate is true simpliciter – understood as a pure mathematical conjecture, rather than as a hypothesis about physical spacetime. In a sense, the latter question has no objective answer. In this article, I argue that paradigmatic questions of modal metaphysics are like the Parallel Postulate question. I then discuss the deflationary ramifications of this argument. I conclude with an alternative conception of the space of possibility. According to this conception, there is no objective boundary between possibility and impossibility. Along the way, I sketch an analogy between modal metaphysics and set theory. (shrink)

A thorough critique (extracted from the author’s 1979 doctoral dissertation) of Kripke’s purported derivation, in footnote 56 of his philosophical masterpiece /Naming and Necessity/, of nontrivial modal essentialism from the theory of rigid designation.

This paper explains the metaphysical implications of the view that species are individuals (SAI). I first clarify SAI in light of the separate distinctions between individuals and classes, particulars and universals, and abstract and concrete things. I then show why the standard arguments given in defense of SAI are not compelling. Nonetheless, the ontological status of species is linked to the traditional "species problem," in that certain species concepts do entail that species are individuals. I develop the idea that species (...) names are rigid designators and show how this provides additional motivation for SAI. (shrink)

An exchange of letters among proper names and natural-kind terms, dealing with various identity and individuation problems (rigid designation, use-mention ambiguities, translation) from their point of view.

In this article I present some characteristics of logics and semantics of an uncertain world. I confront two-valued and fuzzy logic. I use Kafka’s novel Process as an example, which is designed as an uncertain context with words which are rigid designators without rigid meaning. That produces an uncertain world of logical and semantical relations. In presentation of problems I introduce basic concepts of Frege’s, Wittgenstein’s, Tarsky’s, Searle’s, Quine’s and Davidson’s philosophy of language. I differ the logical and (...) semantical identification of identity. I differ reference and inference, or representation and identification as two components which are fundamental for the identification of identity. I found this difference on the role of logical unification and granulation of predicates in the structure of thought and semantical unification and granulation of attributes in the structure of statements and their relation to ontology of context. Through the confrontation of the logical and semantical unification and granulation I find that the limits of logic are not also the limits of language. The semantical unification goes over the highest genre and below the lowest species. That enables the extra-logical, non-scientifical, con-fessional, pro-phetical, artistic, and ordinary use of language. (shrink)

Frege’s claim that proper names have senses has come to seem untenable following Kripke’s argument that names are rigid designators. It is commonly thought that if names had senses, their referents would vary with circumstances of evaluation. The article defends Frege’s claim by arguing that names have word-reflexive senses. This analysis of names’ senses does not violate Kripke’s noncircularity condition, and it differs crucially from related views of Bach and Katz. That names have reflexive senses confirms Frege’s own solution (...) to his puzzle about the content of identity sentences, solves Kripke’s Pierre and Peter puzzles about belief ascription, and entails that bearerless names have meanings. Furthermore, names’ having reflexive senses explains why they designate rigidly. (shrink)

A logically impossible sentence is one which entails a contradiction, a logically necessary sentence is one whose negation entails a contradiction, and a logically possible sentence is one which does not entail a contradiction. Metaphysically impossible, necessary and possible sentences are ones which become logically impossible, necessary, or possible by substituting what I call informative rigid designators for uninformative ones. It does seem very strongly that a negative existential sentence cannot entail a contradiction, and so ”there is a God’ (...) cannot be a metaphysically necessary truth. If it were such a truth, innumerable other sentences which seem paradigm examples of logically possible sentences, such as ”no one knows everything’ would turn out to be logically impossible. The only way in which God could be a logically necessary being is if there were eternal necessary propositions independent of human language or God’s will, such that the proposition that there is no God would entail -- via propositions inaccessible to us -- a contradiction. But if there were such propositions, God would have less control over the universe than he would have otherwise. (shrink)

Kripke maintains that one who stipulatively introduces the term ' one meter' as a rigid designator for the length of a certain stick s at time t is in a position to know a priori that if s exists at t then the length of s at t is one meter. Some (e.g., Soames 2003) have objected to this alleged instance of the contingent a priori on the grounds that the stipulator's knowledge would have to be based in part (...) on substantive metalinguistic knowledge. I examine Soames's argument for the a posteriority of the relevant metalinguistic knowledge, and I argue that its main premise is false. (shrink)

Much discussion of meaning by philosophers over the last 300 years has been predicated on a Cartesian first-person authority (i.e. “infallibilism”) with respect to what one’s terms mean. However this has problems making sense of the way the meanings of scientific terms develop, an increase in scientific knowledge over and above scientists’ ability to quantify over new entities. Although a recent conspicuous embrace of rigid designation has broken up traditional meaning-infallibilism to some extent, this new dimension to the (...) meaning of terms such as “water” is yet to receive a principled epistemological undergirding (beyond the deliverances of “intuition” with respect to certain somewhat unusual possible worlds). Charles Peirce’s distinctive, naturalistic philosophy of language is mined to provide a more thoroughly fallibilist, and thus more realist, approach to meaning, with the requisite epistemology. Both his pragmatism and his triadic account of representation, it is argued, produce an original approach to meaning, analysing it in processual rather than objectual terms, and opening a distinction between “meaning for us”, the meaning a term has at any given time for any given community and “meaning simpliciter”. the way use of a given term develops over time (often due to a posteriori input from the world which is unable to be anticipated in advance). This account provocatively undermines a certain distinction between “semantics” and “ontology” which is often taken for granted in discussions of realism. (shrink)

Penelope Mackie and Scott Soames argue, contrary to my Reference and Essence (R&E), that Hilary Putnam was correct that the direct-reference theory of natural-kind terms, taken in conjunction with empirical or otherwise uncontroversial premises, yields non-trivial essentialism, such as the conclusion that water is essentially two-parts hydrogen, one-part oxygen. A controversial distinction is drawn between rigid and non-rigid general terms. A new criterion for general-term rigidity is proposed, and Putnam’s ostensive definition of ‘water’ is reformulated accordingly to generate (...) the consequence that ‘water’ rigidly designates. Mackie and Soames propose a reformulation of Putnam’s ostensive definition that putatively yields the desired result. This reformulation, however, does not correctly explain the meaning of ‘water’ as a substance designator. Furthermore, if taken instead as a redefinition of ‘water’, the essentialism thereby generated is trivial. (shrink)

In “Naming with Necessity”, it is argued that Kripke’s thesis that proper names are rigid designators is best seen as being motivated by an individual-driven picture of modality, which has two parts. First, inherent in proper-name usage is the expectation that names refer to modally robust individuals: individuals that can sustain modal predications like ‘is necessarily human’. Second, these modally robust individuals are the fundamental building blocks on the basis of which possible worlds should be conceived in a modal (...) semantics intended to mirror the conceptual apparatus behind ordinary modal talk. The individual-driven picture is distinct from two views inspired by Kripke, direct reference theory and Millianism. The former covers only the first half of the picture, while the latter explicitly gives up on that half even, opting to remain neutral about what expectation expressions impose on the nature of their referents. (shrink)

According to EJ Lowe, diachronic necessity and synchronic necessity are logically independent. Diachronic possibility concerns what could happen to an object over time and therefore concerns future possibilities for that object given its past history. Synchronic possibility concerns what is possible for an object in the present or at a past present moment. These are logically independent, given certain assumptions. While it may true that because I am 38, it is impossible diachronically for me to be 30 (at least once (...) we restrict the degree of relevant possibility), it is possible, given that at some point in the past, I may have been conceived slightly earlier than I was, that I am now 37. Likewise, it is possible diachronically for me to be somewhere other than where I am, but given that one object cannot be in different places at the same time, it is impossible for me now to be somewhere other than where I am, and this is true at each past point in my history too. There are, then, two axis upon which to distinguish what is and is not possible: tensed possibilities and possibilities of degree, which include nomic, metaphysical, and logical necessities, among others. I examine the interactions between these possibilities and I come to the conclusion that logical necessity is not in fact logical necessity simpliciter. Whether something is logically necessary depends upon tensed possibilities. I argue that while synchronic logical necessity entails diachronic logical necessity, the reverse entailment does not hold. I explore the consequences of this for certain philosophical debates in semantics including the concept of rigid designation, and descriptive names. (shrink)

“There is no use in trying,” said Alice; “one can’t believe impossible things.” “I dare say you haven’t had much practice,” said the Queen. “When I was your age, I always did it for half an hour a day. Why, sometimes I’ve believed as many as six impossible things before breakfast”. Lewis Carroll, Through the Looking Glass. -/- It is a rather common view among philosophers that one cannot, properly speaking, be said to believe, conceive, imagine, hope for, or seek (...) what is impossible. -/- Some philosophers, for instance George Berkeley and the early Wittgenstein, thought that logically contradictory propositions lack cognitive meaning (informational content) and cannot, therefore, be thought or believed. Philosophers who do not go as far as Berkeley and Wittgenstein in denying that impossible propositions or states of affairs are thinkable, may still claim that it is impossible to rationally believe an impossible proposition. On a classical “Cartesian” view of belief, belief is a purely mental state of the agent holding true a proposition p that she “grasps” and is directly acquainted with. But if the agent is directly acquainted with an impossible proposition, then, presumably, she must know that it is impossible. But surely no rational agent can hold true a proposition that she knows is impossible. Hence, no rational agent can believe an impossible proposition. Thus it seems that on the Cartesian view of propositional attitudes as inner mental states in which proposition are immediately apprehended by the mind, it is impossible for a rational agent to believe, imagine or conceive an impossible proposition. -/- Ruth Barcan Marcus (1983) has suggested that a belief attribution is defeated once it is discovered that the proposition, or state of affairs that is believed is impossible. According to her intuition, just as knowledge implies truth, belief implies possibility. -/- It is commonplace that people claim to believe propositions that later turn out to be impossible. According to Barcan Marcus, the correct thing to say in such a situation is not: I once believed that A but I don’t believe it any longer since I have come to realize that it is impossible that A. What one should say is instead: It once appeared to me that I believed that A, but I did not, since it is impossible that A. Thus, Barcan Marcus defends what we might call Alice’s thesis: Necessarily, for any proposition p and any subject x, if x believes p, then p is possible. -/- Alice’s thesis that it is impossible to hold impossible beliefs, seems to come into conflict with our ordinary practices of attributing beliefs. Consider a mathematical example. Some mathematicians believe that CH (the continuum hypothesis) is true and others believe that it is false. But if CH is true, then it is necessarily true; and if it is false, then it is necessarily false. Regardless of whether CH is true or false, the conclusion seems to be that there are mathematicians who believe impossible propositions. -/- Examples of apparent beliefs in impossible propositions outside of mathematics are also easy to come by. Consider, for example, Kripke’s (1999) story of the Frenchman Pierre who without realizing it has two different names ‘London’ and ‘Londres’ for the same city, London. After having arrived in London, Pierre may assent to ‘Londres is beautiful and London is not beautiful’ without being in any way irrational. It seems reasonably to infer from this that Pierre believes that Londres is beautiful and London is not beautiful. But since ‘Londres’ and ‘London’ are rigid designators for the same city, it seems to follow from this that Pierre believes the inconsistent proposition that we may express as ‘London is both beautiful and not beautiful’. (shrink)

In his influential Naming and Necessity lectures, Saul Kripke made new sense of modal statements: “Kant might have been a bachelor”, “Königsberg is necessarily identical with Kaliningrad”. Many took the notions he introduced-metaphysical necessity and rigid designation -- to herald new metaphysical issues and have important consequences. In fact, the Kripkean insight is at bottom semantic, rather than metaphysical: it is part of how proper names work that they purport to refer to individuals to whom modal properties can (...) be ascribed. We can see this by reflecting on analytic truths that ground modal claims like the two examples above. (shrink)

In this article I present some characteristics of logics and semantics of an uncertain world. I confront two-valued and fuzzy logic. I use Kafka’s novel Process as an example, which is designed as an uncertain context with words which are rigid designators without rigid meaning. That produces an uncertain world of logical and semantical relations. In presentation of problems I introduce basic concepts of Frege’s, Wittgenstein’s, Tarsky’s, Searle’s, Quine’s and Davidson’s philosophy of language. I differ the logical and (...) semantical identification of identity. I differ reference and inference, or representation and identification as two components which are fundamental for the identification of identity. I found this difference on the role of logical unification and granulation of predicates in the structure of thought and semantical unification and granulation of attributes in the structure of statements and their relation to ontology of context. Through the confrontation of the logical and semantical unification and granulation I find that the limits of logic are not also the limits of language. The semantical unification goes over the highest genre and below the lowest species. That enables the extra-logical, non-scientifical, con-fessional, pro-phetical, artistic, and ordinary use of language. (shrink)

The study of reference often leads to addressing fundamental issues in semantics, metaphysics and epistemology; this suggests that reference is closely linked to the three realms. The overall purpose of this study is to elucidate the structure of some of these links, through a close examination of the “mechanism” of reference. As in many other enquiries, considering the possible (i.e., the modal,) in addition to the actual proves very helpful in clarifying and explicating insights. The reference of a term with (...) respect to possible worlds is commonly called “intension”; so this is a study of intensions. The main contribution of the study is an outline for a “calculator” of intensions. It is argued that the intension of a term is a function of three variables: (a) the way in which the term “picks out” its referent in different possible worlds (semantics); (b) criteria of identity (metaphysics); and (c) the actual state of affairs (actuality). While considering different possible values for these variables, it is demonstrated how the variables combine to generate the term’s intension. In other words, the result is a calculator that when provided with the required values, yields the reference of the term in different possible worlds. By taking into account the possible gap between what we take the values of these variables to be and what they may in fact be, we also gain important insights into the epistemic aspect of reference. In addition, since a rigid designator is a term with constant intension, the proposed thesis provides an elaborate account of rigidity. The first chapter is devoted to the development of the calculator of intensions. Each of the following three chapters elaborates on one aspect of intensions, namely, the semantic, metaphysical and epistemic aspects. In the course of these chapters, various familiar puzzles pertaining to the respective philosophical realms are addressed (many of these puzzles are discussed in Kripke’s Naming and Necessity – a work that considerably inspired this study). In the fifth and last chapter the analysis of intensions is applied to two case-studies from relatively recent philosophical literature: the Kripke-Lewis debate over the identity theory of mind, and the debate over the significance of Donnellan’s referential/attributive distinction. The novel accounts that these applications generate purport to illustrate the importance and originality of the proposed thesis. (shrink)

Causal theories of reference describe how terms acquire specific references (especially logical terms, proper names, and natural terms) based on evidence. In the case of names, a causal theory of reference assumes that 1) the referent of the name is fixed by an original designation (called by Saul Kripke "initial baptism"), after which the name becomes a rigid designator of that object; 2) the name is subsequently transmitted by communication through a causal chain. Saul Kripke and Hilary Putnam (...) proposed the extension of causal theory to natural terms. DOI: 10.13140/RG.2.2.35625.75364 . (shrink)

…A reconstructed imaginal account of Alexander’s (the Great) historical letter to Aristotle pursuant to his (in-) famous meeting with the gymnosophist Dandimus on the paradoxes of Zeno ( presaging those of Nagarjuna ) as a means of presenting a synthesis of the stasis and dynamism implicit in the potential of a phenomenally real world beyond a rigid designation of a chain-of-being taxonomy where animal dignity resides side by side with predator-prey relations and a mind-laden ( theory ) of (...) evolution. (shrink)