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sexta-feira, 5 de junho de 2026

SEMANTIC COGNITIVISM: OVERTHROWING THE STALEMATE BETWEEN DESCRIPTIVISM AND REFERENTIALISM ###

Paper in the process of submission. It summarizes the main content of the book How Do Proper Names Really Work (De Gruyter 2023) 


SEMANTIC COGNITIVISM:

 OVERTHROWING THE STALEMATE BETWEEN DESCRIPTIVISM AND REFERENTIALISM

 

 

Abstract:

This article summarizes the principal stages of a sustained inquiry into theories of reference and advances several corrective proposals. It develops a cognitivist account of reference grounded in implicit criterial rules, intended as a replacement for cluster descriptivism, particularly in the form defended by John Searle. The central difficulty with cluster descriptivism lies in its indeterminacy, which renders it vulnerable to the familiar objections raised by referentialist externalists such as Saul Kripke, Keith Donnellan, Hilary Putnam, and David Kaplan. This indeterminacy stems from the absence of a satisfactory structure for the cluster: we lack both a principled account of which descriptions are relevant and a method for assessing their relative weight. The article develops a higher-order rule schema – sufficiently flexible to admit variants – capable of organizing clusters of descriptions and establishing reliable measures of application. Within this framework, each proper name can be associated with an identification rule robust enough to warrant rigid designation and to withstand the objections advanced by externalist theories. Moreover, the framework is readily generalizable to other singular and general terms beyond proper names. Its significance lies in its capacity to move beyond the entrenched opposition between descriptivism and referentialism, offering a synthesis that preserves the strengths of each while avoiding their characteristic weaknesses.

Keywords: reference, proper names, general terms, meaning, externalism

Since 2007, I have been developing a form of neodescriptivism in theories of reference I am now inclined to call semantic cognitivism. This work has resulted in several articles and at least one book. My current article revisits the central ideas of the theory, incorporating corrections and refinements. The motivation is clear: I believe that semantic cognitivism offers a framework that surpasses both referentialism (as advanced by philosophers such as Kripke, Donnellan, Putnam, and Kaplan) and descriptivism (as sustained by Searle, Strawson, Wittgenstein, Russell, and Frege). In doing so, it creates an explanatorily more powerful theory of reference.

   I begin with a metaphilosophical remark that highlights a fundamental difference between my approach to the problem of reference and that of philosophers working within a deductivist formalist orientation. The difference may be captured by the contrast between digital and analog computation. Digital computation operates with discrete symbol combinations, whereas analog computation processes data continuously. The human brain is more like an analogical system because human cognition relies heavily on continuous processing and pattern recognition. Classical logic, by contrast, is digital, while inductive logic is analog, insofar as the strength of inductive arguments cannot be determined in absolute terms.

   This observation suggests that a theory of reference can adequately account for the referential employment of our terms only if it incorporates the analogical dimension. The theory advanced here does precisely this. It shows that a proper name becomes a rigid designator when it is associated with an identification rule that integrates the analogical aspects of reference. Such a rule renders the name sufficiently flexible to be translated into descriptive terms without forfeiting its status as a rigid designator.

 

1

 

The referentialist externalism was of undeniable importance: imaginative in conception, rigorous in execution, and intellectually provocative. Nevertheless, I take it to be ultimately untenable. By contrast, the descriptivist internalism appears to me fundamentally sound and intuitively compelling, though insufficiently elaborated in its theoretical articulation. At their best, both traditions offer genuine contributions to the advancement of a cognitivist theory of reference – a framework I shall endeavor to articulate in what follows.

   The account I propose may be described as a neo-descriptivist and tacitly cognitivist theory of reference, one that is internalist in its explanation of how proper names and related expressions secure their referents. Its central claim is that the traditional opposition between descriptivism and referentialism can be dissolved, not by siding with one camp against the other, but by reconfiguring the problem of reference itself. The stalemate between descriptivist and referentialist accounts has persisted for more than four decades, and I can discern no alternative strategy capable of overcoming it, except the view to be presented here. On this view, reference is best understood as a process susceptible to refinement through successive approximations, in a manner continuous with scientific inquiry. Properly articulated, such a theory is not merely of philosophical interest: it is sufficiently strong that, if implemented within a computational framework and supplied with the requisite data, it could in principle identify proper names’ owners.

    I want to begin by considering Michael Dummett’s interpretation of Fregean sense in terms of criterial rules. As he wrote:

 

For Frege, the sense of an expression always consists in a rule which, taken together with the constitutive rules of the senses of other words, determines the condition for the truth of the sentence in which the expression occurs. (1981: 194, my italics)

 

And further,

 

to know the sense of a proper name is to possess a criterion for recognizing, for any given object, whether or not it is the bearer (referent) of that name; to know the sense of a predicate is to have a criterion for deciding, for any given object, whether or not the predicate applies to that object; and to know the sense of a relational expression is to have a criterion for deciding, given any two objects in a particular order, whether or not the relation they represent holds between the first object and the second (1981: 229).

 

These ideas strongly echo Wittgenstein’s earlier suggestion that criteria – or better, criterial rules – are: “that which gives our words their common meanings” (1958: 57; cf. G. P. Baker 1986). Or again: “There is a correspondence between the words ‘meaning’ and ‘rule’” (1969, sec. 62).

 The same intuition has found a more explicit formulation in Ernst Tugendhat’s speculative proposal (1983: ch. 13.4; 1976: 258–263), according to which the singular terms must be governed by rules of identification (Identifikationsregeln), while general terms must be governed by rules of application (Applikationsregeln), and, that the application rule based on the previous application of the identification rule in a singular predicative statement form its verification rule (Verifikationsregel).[1]

   My point of departure is the analysis of proper names, long regarded as the central focus of theories of reference, with inevitable implications extending to other terms. The aim has been to identify general forms or schemata of rules for the identification of proper names. On the basis of the working hypothesis outlined above, the initial task was to formulate criterial rules capable of determining the referents of proper names – rules that, within a neo-descriptivist framework, vindicate Kripke’s compelling claim that proper names function as rigid designators. With such rules in place, I argue that a more refined version of neo-descriptivism can successfully address the counterexamples advanced by Saul Kripke and Keith Donnellan (... 2023, chap. IV), as well as the Fregean identity paradox (... 2023, chap. V; Frege 1892).

   How, then, are we to arrive at a rule of identification for a proper name? To begin, it is worth noting that the definite descriptions invoked by defenders of the cluster theory are best understood as expressions of rules guiding the identification of the bearer of a name. We can term them descriptions-rules. The initial task, therefore, is to isolate the most fundamental descriptions-rules for identifying the bearer of a proper name. My strategy has been to focus on what I call privileged users of names – those individuals who are best positioned to know the sources that secure the veracity of fundamental descriptions (experts, witnesses, family members, and so forth). This focus is chosen because it offers the best prospect of regulating the disordered clusters of descriptions of proper names inherited from historical descriptivism (cf. Searle 1958).

   The method employed to uncover the most fundamental descriptions-rules known to privileged users is inspired by J. L. Austin’s pragmatic methodology (1961), characteristic of “ordinary language philosophy”. Austin’s guiding principle was to begin with what dictionaries record, thereby producing pre-philosophical mappings of relevant meanings to serve as points of departure. Ordinary language, as Austin acknowledged, may not constitute the end of philosophical inquiry, but it may well provide its beginning. The difficulty, of course, is that proper names are rarely listed in dictionaries. Yet this difficulty can be circumvented, since many names are at least encyclopaedised. There we find what we mean by using a certain proper name.

   Consider, for example, the name ‘Aristotle’. A reliable encyclopaedia, I chose a particularly concise one, the Penguin Dictionary of Philosophy, provides the following compact account:

 

Aristotle was born in Stagira in 384 BCE, the son of Amyntas III’s physician. At seventeen, he went to Athens, where he studied under Plato for twenty years. Following Plato’s death, he moved to Assos, spent two years conducting biological research in Lesbos, returned to the Macedonian court for a time, and later, during Alexander’s domination of Greece, lived for 12 years in Athens. After Alexander’s death, he fled to Chalcis, where he died in 322 BCE at the age of sixty-two. The entry is followed by a list of his principal works – the Organon, Physics, Metaphysics, Nicomachean Ethics, Poetics, among others – together with concise explanations of their contents.

 

Two types of descriptive rules can be readily abstracted from entries on proper names in sources such as the Penguin Dictionary and, in fact, from any other reliable encyclopaedia. These rules yield two conditions that may, as later will be seen, appropriately be called foundational

 

1. Localizing condition: This condition specifies the place and time of the bearer’s emergence, together with their origins, their spatio-temporal trajectory, and, where applicable, the place and time of their disappearance.

2. Characterizing condition: This condition specifies the principal reason – or set of reasons – for which the proper name is employed.

 

Let us consider the name ‘Aristotle’ more closely. Its locating condition may be summarized in terms of origin (the son of the court physician of Amyntas III), place and date of birth (Stagira, 384 BCE), spatio-temporal trajectory (he crossed the Aegean at the age of seventeen to study with Plato, remained at the Academy for twenty years, and after Plato’s death moved to Assos, among other episodes...), and eventual disappearance (his death in Chalcis in 322 BCE). A parallel account can be given for the characterizing condition. Aristotle is remembered above all as the author of the Aristotelian corpus, the most comprehensive philosophical system of antiquity, whose influence endures to the present day.

   All of this and much more, as is well known, is familiar to the privileged users of the name, in this case, interpreters and historians, in its minutest details. As I noted, it is reasonable to begin by concentrating on the study of the proper name as it is employed by such users, postponing consideration of those who possess only limited knowledge, since – as will become clear – the mechanism of reference in the last case is of a very different kind.

   This raises the question of how the discovery of these two fundamental conditions is philosophically helpful. Kripke was correct to observe that, in a possible world, Aristotle might have been born many years later or might have left no writings at all (1980, 62). That much is true. Yet in another respect, the foundational rule-descriptions are indispensable: it is impossible to conceive of a situation in which none of the demands they impose are satisfied. Our historical Aristotle could not have been a newly enrolled student at the University of Athens, nor the twentieth-century Greek shipowner Aristotle Onassis, nor, as Searle once noted (1967, 490), an illiterate homonymous fishmonger living in Venice during the late Renaissance.

   The greater importance of the foundational conditions becomes evident when they are contrasted with what may be termed auxiliary rule-descriptions, which are generally accidental. Consider, for example, metaphorical descriptions such as Dante’s epithet ‘the master of those who know,’ or familiar but contingent descriptions such as ‘the tutor of Alexander’ or ‘the founder of the Lyceum.’ One might also quote obscure contingent descriptions such as ‘the grandson of Achaeon’ or ‘the husband of Pythias,’ or adventitious descriptions such as ‘the philosopher mentioned by the professor in the last class,’ which are indexical and typically short-lived. All of these definite descriptions may be absent without undermining Aristotle's existence.    By contrast, it is inconceivable that any historical Aristotle could satisfy all of these auxiliary descriptions while failing to satisfy any foundational condition. Imagine, for instance, a director of a lyceum in Tessalonica named Aristotle, whose wife was called Pythias, who had a student named Alexander, and who was esteemed by his colleagues as a true “master of those who know.” However striking the coincidences, such a figure could never be identified with our historical Aristotle.

    There is, then, a significant distinction that warrants closer examination. Auxiliary descriptions, however promising, do not ultimately prevail. Indeed, they have misled descriptivist philosophers in the past. Frege, for example, substituted the name Aristotle with ‘the pupil of Plato and the tutor of Alexander the Great’ (1892, 28n.), while Wittgenstein replaced Moses with ‘the man who, as a child, was taken from the Nile by the Pharaoh’s daughter’ (2009, I, §79). Both are well-known accidental auxiliary descriptions. Although such descriptions undeniably guide us toward reference and form part of the descriptive cluster, they remain dispensable.

   A particularly instructive case of what may be termed an accidental auxiliary definite description is the form ‘the bearer of the name N.’ Consider, for instance, the description ‘the bearer of the name Aristotle,’ which has played a central role in the development of metalinguistic theories of proper names. Yet there is nothing fundamental about this description itself. To see this, imagine a possible world closely resembling our own. In 238 BC, the court physician of Amyntas III fathered twins. One is baptized ‘Aristotle,’ the other ‘Pitacus.’ Suppose further that Pitacus lives out precisely the spatio-temporal career of our Aristotle: he studies with Plato, composes the Pitacusan corpus (identical in every respect to the Aristotelian corpus familiar to us), and dies in Chalcis in 322 BC. Meanwhile, the twin baptized ‘Aristotle’ becomes a physician like his father, joins Alexander’s forces, and perishes of hunger and thirst upon returning from India. In such a scenario, we would unhesitatingly identify our Aristotle with Pitacus, and not with the unfortunate physician who bore the name ‘Aristotle.’ The lesson is clear: the description ‘the bearer of the name N’ does not fix reference in any philosophically fundamental way. It is, rather, an accidental device, one whose apparent significance derives from contingent linguistic practices rather than from any deep metaphysical or semantic necessity.

   We may consider a wide range of options in attempting to organize the foundational conditions into one or more rule-schemes that could serve as determinants of the rigidity of proper names. In general, the inclusive disjunction of such rule-descriptions suffices: the complete satisfaction of both disjuncts, or even of a single disjunct, is not required. Yet insufficient satisfaction can be equally inadequate, though one or the other disjunct can remain alternatively fully unsatisfied insofar as this is compensated by the satisfaction of the other. Suppose, for example, that in a possible world the only son of the court physician of Amyntas III, born in 384, was an anencephalic fetus who survived less than a week and was never baptized. In that world, with no Aristotelian works in existence, we would hesitate to recognize him as our Aristotle. Nor would we identify as our Aristotle someone who lived in a different time and place, but had written only the Magna Moralia, a work of some historical interest but now widely regarded as spurious.

   Moreover, we admit only that a single bearer sufficiently satisfies the foundational conditions sufficiently, and this is secured by adding the further requirement that the bearer who best satisfies them must be chosen. Thus, if in a possible world all that were known is that two individuals lived in Greece during Aristotle’s time – one the author of the Metaphysics, the other of the Magna Moralia – we would prefer to recognize as the better competitor the author of the Metaphysics, and thereby our Aristotle.

   The result, in summary, is the following rule-scheme: the referent of a proper name is fixed by the bearer who best satisfies the relevant foundational conditions, provided that such satisfaction is sufficient, though not necessarily complete. In other words:

 

RC: A proper name N (or an equivalent name) has a bearer

 see

(i-a) satisfies its location condition and/or

(i-b) satisfies its characterization condition

(ii) in a sufficient manner as a whole and

(iii) better than any other competitor.

 

The name 'Aristotle' satisfies this rule-scheme through the identification rule summarised below:

 

 RI: 'Aristotle' (or an equivalent name) has a bearer

See

(i-a) satisfies the localizing condition summarised above, and/or

(i-b) satisfies the characterising condition of having written the main works of the Aristotelian opus.

(ii) he satisfies these conditions sufficiently as a whole.

(iii) he satisfies these conditions better than any other competitor.

 

The RI scheme may be taken as canonical, though it is by no means exhaustive. Its application is most immediate in the case of proper names such as Paris, the Mona Lisa, the Eiffel Tower, the Taj Mahal, Everest, the Amazon River, Death Valley, where the referent is fixed by a standard identifying condition. Yet the scheme admits of significant variation. In certain instances, characterization assumes primacy; Aristotle himself provides the paradigmatic case, where the identifying condition is constituted by a set of descriptive features. In other cases, spatial or locational criteria dominate, sometimes to the point of excluding all else. The planet Venus illustrates this latter mode: its reference is determined by its orbital position between Earth and Mercury, a condition that has held since its earliest recognition. That Venus is a planet rather than an asteroid is not irrelevant, but even if it lost its extremely dense, hot, and reflective atmosphere, responsible for its brightness, it would remain Venus.

There are, moreover, proper names whose reference is secured by a single foundational condition—what may aptly be termed “one-footed” names. The name universe, for example, is fixed by the condition “everything that exists,” and in this respect it lacks any locational anchor. Conversely, the name O, designating the circumcenter of a triangle, is determined wholly by spatial position, without the need for further descriptive characterization.

   The RI scheme, then, provides a general framework for the rigidity of proper names, but its application varies depending on the balance between characterization and location. In some cases, both conditions cooperate; in others, one predominates. And in certain limiting cases, the satisfaction of a single condition suffices.

    What, then, is to be said of proper names that have not undergone encyclopedic consolidation? Such names typically rest upon a characterization far more diffuse and indeterminate than that associated with figures like Napoleon. Nevertheless, their referents remain identifiable through a network of contingent supports: personal history, documentary records of identity, and the recollective testimony of family members, friends, and colleagues.

   At this juncture, one might object that the proposed scheme of regimenting rules for bundles of descriptions is insufficiently determinate. How many foundational descriptive details must be supplied? What, precisely, constitutes “sufficiency as a whole”? Or again, what is meant by “the absence of a competitor of equal standing”? My response is both Aristotelian and Wittgensteinian. Aristotle reminds us in the Nicomachean Ethics that “it is the mark of an educated man to look for precision in each class of things just so far as the nature of the subject admits” (1984: I.3, 24–25). Wittgenstein, in the Philosophical Investigations, likewise emphasizes that natural language is not a rigid formal calculus but a living instrument, whose vagueness is not a defect but a constitutive nd protective feature. To demand greater precision than the subject matter allows is, in both cases, to misconstrue the nature of linguistic practice.

   The vagueness of natural language is, in the end, irreducible. In this respect, our classificatory practices may be likened to those of meteorologists, who sort clouds by shape in a sufficiently vague way, while fully aware of their innumerable particular forms. What matters, for present purposes, is that proper names succeed in their function under the ordinary circumstances of their employment. Criterial rules inevitably falter at points of indeterminacy—where boundaries blur or criteria conflict. Our cognitive apparatus operates more like an analog than a digital computer, tolerating gradations rather than demanding strict demarcations. By contrast, the very notion of rigid designation, as introduced by Kripke, presupposes an additional condition: that the bearer of the name be definitively identifiable across all possible worlds. In our case, the corresponding condition is that the identification rule must be definitely applicable.

    The proposed scheme of rules already proves serviceable in addressing a wide range of familiar puzzles. Consider, for instance, the ancient paradox of the Ship of Theseus, which we may designate as ‘Calibdus’. Theseus sailed upon this vessel for many years, gradually replacing its worn parts. Eventually, every component was replaced, with the originals stored in a warehouse. Suppose now that these discarded parts are reassembled into a ship structurally identical to the one Theseus continued to sail. Which, then, is the genuine Ship of Theseus? No definite answer seems available.

    The paradox admits resolution once we distinguish between two competing conditions of identity. The first, the locating condition, is satisfied by the vessel originally constructed for Theseus and persisting through its career in space and time. The second, the characterizing condition, is satisfied by the vessel that retains some portion of the original material. The difficulty, then, lies in the conflict between these criteria. Yet most persons would be inclined to identify the genuine ship of Theseus with the vessel he in fact sailed, on the grounds that the locating condition is more adequately met. Although the material has not remained constant, the ship's structural continuity over such a long time provides a more compelling basis for identity than the mere retention of parts.

   The difficulty is not dispelled, for the example admits of modification. Suppose that, shortly after its completion and christening, the Calibdus remains at the shipyard. Its parts are then rapidly replaced by identical ones, so that within a week another vessel, materially continuous with the first, emerges alongside it. In this case, since the spatio-temporal career of the original ship was virtually nonexistent, we are inclined to say that Theseus’ ship has merely changed places, and it is now the second vessel rather than the first. The rationale is that the characterizing condition is fully satisfied by the second ship, whereas the locating condition had scarcely begun to be satisfied by the first one.

   What I have sketched thus far is a theory of the referential meaning of proper names. The theory is articulated through a set of description-rules, at the center of which lies the rule of identification, surrounded by a constellation of auxiliary description-rules that, in general, serve a directive function. Contrary to Kripke’s suggestion that proper names are devoid of meaning, I contend that they are, in fact, saturated with meaning when considered from the standpoint of their privileged users. The difficulty, however, is that the cognitively active meanings of proper names vary widely and remain opaque to many speakers. Because we typically employ them with only one or the other specific meaning in view—and because most of us are not privileged users—we are led to suppose that proper names lack meaning altogether. This impression is reinforced when we contrast them with general terms, whose meanings are stable, repeatable, and uniform across contexts.

  What I have presented so far are the outlines of a theory of the referential meaning of proper names. It consists of a set of rules-descriptions whose core is formed by the rule of identification and a halo composed of auxiliary rules-descriptions that are generally capable of performing a directing function. Proper names are not meaningless terms, as Kripke would like to believe. On the contrary, they are overly rich in meaning for their privileged users. It is just that their cognitively active meanings vary greatly and are unknown to many speakers. As we often use them with only one or the other specific meaning in mind and are almost never privileged users, we have the impression of a lack of meaning when we compare them with general terms, whose meanings are repeated and always the same.

 

2

I now wish to consider how those who are not privileged users—whom I shall call indigent users of proper names, and who in fact constitute the vast majority—are nonetheless able to employ such names referentially. Take, for instance, the case of someone whose sole knowledge of Aristotle is that he served as Alexander’s tutor, gleaned from a film in which an elderly philosopher instructs the young prince. Or consider the passerby who, when asked who Aristotle was, replies only that he was some great ancient philosopher, without further detail. Kripke maintains that in both cases the speaker succeeds in referring to Aristotle. My own view is more cautious: I prefer to say that the indigent user succeeds in inserting the name appropriately into discourse, and that reference does indeed occur, but only by virtue of mechanisms akin to what Strawson termed borrowing of reference (1963, p. 185) and to what Searle later described as parasitic reference (1983, chap. 9).

The uninformed user, let us suppose, possesses only an auxiliary rule-description or some generic fragment of the identification rule. He has, at best, a tacit grasp of the general structure of identification-rule schemes, together with the awareness that there exist privileged users who genuinely command them. Consequently, he recognizes that his own knowledge is insufficient to sustain a determinate reference grounded in full acquaintance with the relevant facts. Conscious of this limitation, he nevertheless succeeds in inserting the name into discursive contexts that are deliberately vague, yet sufficiently determinate to allow interlocutors to identify the referent without lapsing into outright error. These interlocutors may know as much, less, or more than he does about Aristotle, but the communicative act succeeds insofar as the intended referent is grasped. Should further precision be desired, one need only pursue the chain of references until reaching those privileged experts—or, in contemporary circumstances, consult an AI repository that effectively embodies their expertise.   

   The uninformed user, let us suppose, possesses only an auxiliary rule-description or some generic fragment of the identification rule. He has, at best, a tacit grasp of the general structure of identification-rule schemes for proper names, together with the awareness that there exist privileged users who genuinely command them. Consequently, he recognizes that his own knowledge is insufficient to sustain a determinate reference grounded in full acquaintance with the relevant facts. Conscious of this limitation, he nevertheless succeeds in inserting the name into discursive contexts that are deliberately vague, yet sufficiently determinate to allow interlocutors to identify the referent without lapsing into outright error. These interlocutors may know as much, less, or more than he does about Aristotle, but the communicative act succeeds insofar as the intended referent is grasped. Should further precision be desired, one need only pursue the chain of references until reaching those privileged experts—or, in contemporary circumstances, consult an AI repository that effectively embodies their expertise.

    For a parasitic reference to succeed, it must exhibit convergence. Convergence obtains when two conditions are satisfied: first, the bearer of the name must be classified in an acceptable manner; second, the speaker must possess a tacit knowledge of the language, specifically the awareness that the identification rule is not fully known—an awareness whose absence would risk embarrassment. Such parasitic use, or borrowing of a proper name, constitutes an indirect mode of reference, sustained by the epistemic resources of the linguistic community as a whole. It is possible only because the indigent user recognizes that privileged users exist who command the identification rule with sufficient thoroughness to secure the individuation of Aristotle.

   Suppose, by way of illustration, that in the aftermath of a third world war a survivor belonging to a community wholly ignorant of European history were to discover a scrap of paper bearing the name ‘Aristotle’, accompanied by the description ‘the author of the Aristotelian corpus.’ It would be mistaken to claim that, armed with this description, the survivor could thereby succeed in referring to Aristotle. For reference requires insertion into a linguistic practice in which the name can be sustained by a chain of transmission: speakers borrow the term from others, who in turn borrow it from yet others, until the chain terminates in those privileged users whose employment of the name is grounded in effective knowledge of its bearer. Absent such a community, the survivor’s use of “Aristotle” would lack the requisite anchoring in a practice of reference.

   This analysis may be extended to two of Kripke’s well-known examples against descriptivism. Kripke observes that one might refer to Richard Feynman solely under the indefinite description ‘an American physicist’ (1980: 81), or to Einstein under the erroneous definite description ‘the inventor of the atomic bomb’ (1980: 85). In both cases, however, the speaker nonetheless succeeds in referring to the intended bearer of the name. The success lies in the fact that the name is inserted convergently into discourse: Feynman is correctly classified within the broader kind of physicists, and Einstein within the kind of inventors. In this way, the speaker refers parasitically, relying upon the established linguistic practice. By contrast, if Feynman were identified with a brand of perfume or Einstein with a precious stone once owned by Queen Victoria, the descriptions would be divergent. In such cases, we would deny that the way of reference had been achieved. The speaker would fail, and indeed fail miserably, to insert the names parasitically into discourse, notwithstanding the possibility that others might later clarify the intended referent.

3

A central issue concerns the cognitivist account of the contrast, emphasized by Kripke, between rigid and accidental or flaccid designators. Kripke maintains that proper names function as rigid designators: they pick out the same object in every possible world in which that object exists. By contrast, definite descriptions lack this rigidity. They may designate different objects across possible worlds, or fail to designate altogether. For this reason, Kripke characterizes them as accidental designators (1980, p. 48).

   Kripke illustrates the point with the case of Benjamin Franklin. The proper name ‘Benjamin Franklin’ is rigid: it designates the same individual in every possible world in which that individual exists. By contrast, the definite description ‘the inventor of bifocals’ is non‑rigid. In the actual world, the description happens to apply to Franklin. Yet we can readily conceive of a world in which John Smith, rather than Franklin, invented bifocals, or even of a world in which Franklin existed but no one invented bifocals at all (Kripke 1980: 98, 145).

    Kripke’s celebrated distinction between rigid and accidental designators is presented as a metaphysical discovery: the semantic behavior of proper names, he argues, is fundamentally unlike that of descriptions, and this difference underwrites the falsity of descriptivist accounts of naming. Yet this claim, far from establishing a metaphysical insight, seems to rest upon what can only be described as a metaphysical superstition. In what follows, I shall argue that the most sophisticated theory of reference available to us not only dispels this supposed discovery but also provides decisive reasons for rejecting the metaphysical pretensions that Kripke attaches to it. 

    The explanation I propose is that the identification rule governing proper names functions as a rigid designator precisely because of its vagueness and flexibility: in any possible world in which the bearer indisputably exists, the rule applies. This, however, does not entail that the auxiliary descriptive conditions—or even particular components of the identification rule itself—must necessarily apply. To illustrate, consider the identification rule for Benjamin Franklin as it might be distilled from any standard encyclopedia: “Franklin is identified as the American statesman, inventor, and scientist, born in Boston in 1706, a central figure in the drafting of the Declaration of Independence, and renowned for his experiments with electricity.“ Such a rule provides a cluster of descriptions that individually may serve to fix reference, but they are neither essential to the name’s rigidity nor metaphysically constitutive of its referential force.

   The explanation I have is that the proper name identification rule is a rigid designator because it is so vague and flexible that in any possible world in which its bearer definitely exists, it applies. But that does not mean that the auxiliary description rules, or even parts of the identification rule itself, necessarily need to apply. Here is the identification rule for Benjamin Franklin, with contents that can be picked out from any encyclopedia:

 

RI 'Benjamin Franklin' (or equivalent name) has a bearer

See

(i-a) satisfies the localization condition of being a person born in Boston on 17 January 1706 and died in Philadelphia on 17 April 1790 (...)

and/or

(i-b) satisfies the characterising condition of having been a polymath, considered one of the founding fathers of the United States, one of the leaders of the American Revolution, known for his inventions and experiments with electricity (...)

(ii) This combination must, on the whole, be sufficiently satisfied.

(iii) It must be satisfied better than by any other competitor.

 

Before following, it is worth introducing a technique that facilitates the explanation, which consists of laying down the identification rule in order to transform it into a abbreviated defined  description of the proper name (the individualizing description or ID), with the characteristic of being a rigid designator, since it says the same thing. Here is how it looks:

Benjamin Franklin's DI (or equivalent name) = The person who (iii) best satisfies, better than any other, and (ii) overall sufficiently satisfies the inclusive disjunction between (i-a) being born in Boston on 17 January 1706 (...) or (i-b) being an American polymath considered one of the founding fathers of the United States (...).

This is a very extense definite definition, but that does not make it any less of a definite description. What is important is that it makes the name in question a rigid designator, because, due to its vagueness and extraordinary flexibility, it applies to all possible worlds in which Benjamin Franklin clearly existed, unlike auxiliary descriptions or even parts of the identification rule, which, in counterfactual situations, may not apply. It is this possible mismatch between the reference of the identification rule and that of the components of the cluster that makes partial and auxiliary descriptions accidental, with nothing metaphysical about them.

   There is a compelling way to prove that my explanation is correct and that Kripke's is illusory. We need only consider definite descriptions that are not part of the cluster of any proper name. Since there can no longer be a mismatch between their references and the reference of the proper name to which they belong, they become rigid designators, applying in any possible world in which the object they refer to exists. Examples are rare, but they can be found. Here are a few:

 

1. The last ice age,

2. The assassination of Austrian Duke Franz Ferdinand in Sarajevo in 1914,

3. The Rafflesia discovered by Dr Joseph Arnold on 20 May 1818,

4. The least rapidly converging series.

5. The 52nd English Infantry Regiment,

 

It does not matter when, in other possible worlds, the last ice age ended, nor whether in those worlds the assassination of the duke caused the First World War... All these descriptions are rigid designators, since they cannot fail to refer to any possible world in which the process, event, or object they refer to exists. The reason for this is that they are not associated with any proper name with which their reference can be contrasted. I call these definite descriptions autonomous.

   It is curious that the identification rules for autonomous descriptions are exactly the same as those we use to identify the bearers of proper names. Consider the autonomous definite description (5): 'the 52nd English Infantry Regiment'. The identification rule that makes this description rigid can be summarised as:

 

DI of ‘The 52nd English Infantry Regiment’ = The regiment that (ii) satisfies in a wholly sufficient manner and (iii) more than any other the inclusive disjunction between the locating condition of (i-a) having existed from 1757 to 1881, being stationed in Oxfordshire, having acted in the American War of Independence, the Anglo-Mysore War in India and the Napoleonic Wars, or the characterising condition of (i-b) consisting of one or two light infantry battalions each with approximately 1000 men recruited in Oxfordshire.

 

This autonomous description is a rigid designator, as it is sufficiently flexible to apply to any possible world in which that ancient bastion of the empire existed.

   Let us now contrast this with examples of definite descriptions that belong to the halo or even the semantic core of proper names’ clusters:

1. The eagle of The Hague.

2. The Iron Marshal.

3. The founder of the Lyceum.

4. The first Roman emperor.

5. The City of Light.

These descriptive predicates are accidental inasmuch as they invite a potential referential mismatch with the identificatory rule that secures the proper name across counterfactual circumstances. Consider, for example, the following scenarios: Rui Barbosa’s ship might have sunk before reaching The Hague; Floriano Peixoto might have died prior to assuming the presidency; Aristotle might never have returned to Athens to establish the Lyceum; Caesar might have failed to cross the Rubicon; and Paris might have been destroyed before acquiring its reputation as the City of Light. In each case, the auxiliary description is falsified, yet the proper name continues to designate its bearer. The lesson is that such descriptive components are contingent and accidental, lacking any metaphysical necessity. The persistence of reference across these counterfactuals underscores the independence of proper names from the descriptive clusters that may contingently accompany them.

 

4

 

Let us now turn to the brilliant counterexamples that Kripke and Donnellan presented against descriptivism. All of them were easily explained in the texts. I will choose just two here.

   Let us begin with the canonical case: Gödel–Schmidt (Kripke 1980: 83–84). Kripke asks us to suppose that Gödel had a colleague, Schmidt, who in fact discovered the incompleteness theorem. Shortly after completing the proof, Schmidt dies under suspicious circumstances. Gödel then appropriates Schmidt’s manuscript and publishes it under his own name. Now consider Maria, who knows only the theorem and associates the name “Gödel” with the description “the discoverer of the incompleteness theorem“. Imagine that it later becomes public knowledge that Schmidt, not Gödel, was the genuine discoverer. On a descriptivist account, Maria should conclude that Schmidt is the referent of “Gödel.” Yet this is not what occurs. For Maria, Gödel remains Gödel.

   The cognitivist theory advanced here explains this phenomenon from an internalist standpoint. The reference of “Gödel” is not secured by contingent descriptive associations but by an identification rule that governs the use of the name. Gödel’s identification rule can be formulated in the following definite description:

 

DI: ‘Gödel’ (or equivalent name) = the person who satisfies (ii) as a whole sufficiently and (iii) better than any other candidate, also satisfying the inclusive disjunction between (i-a) the locating condition of having been born in Brünn in 1906, studied at the University of Vienna, emigrated to the USA via the Trans-Siberian Railway in 1939 and worked at Princeton until 1978, the year of his death (...), or (i-b) the characterising condition of having been the mathematician who discovered and published the incompleteness theorem, in addition to other important works (...).

 

Any privileged user of the name Gödel will not feel compelled to replace it with the name Schmidt just because they have discovered that it was Schmidt who developed the incompleteness theorem, since they know that, despite this, the name Gödel still satisfies the identification rule much more than Schmidt. It fully satisfies the location condition and part of the characterization condition, since Gödel published additional notable works later.

   What about Maria, assuming she is an unskilled user who only knows the name of the discoverer of the incompleteness theorem she studied? Well, assuming Maria is a competent user of language, she knows that she does not know. She knows that she is borrowing the proper name. Therefore, she will not change the name's bearer until she obtains more information. And when she obtains it, then she will have the best reasons not to change the bearer of the name.

   I want to examine here just one of Keith Donnellan's excellent counterexamples for its instructive character. It concerns the case of the philosopher Thales (1972: 377). All we know of relevance about Thales, Donnellan argues, is the definite description 'the philosopher who said that everything is water'. He then supposes that a historian who knew very little of the local dialect encountered an intelligent well-digger named Thales who, tired of his profession, said: 'I wish everything were water so I wouldn't have to dig these damn wells'. Mistaking the well digger for a philosopher, the historian passed on the message that everything is water to others, reaching Aristotle and the doxography we have inherited. However, Donnellan imagines that, coincidentally, in ancient times, a hermit philosopher did indeed claim that everything is water. If descriptivism were correct, then people should conclude that the hermit was Thales. But the fact is that no one can deny that in this case, Thales was indeed the clever well digger.

 The answer is easy. While I deny the explanatory relevance of the causal-historical chain, I do not thereby deny its existence. What I emphasize instead is what I call causal history. By this, I mean the cognitive counterparts of nodal points within the external causal-historical chain that have entered the public domain, thereby becoming part of the generally recognized cluster of descriptions. This dimension of causal history is particularly salient in the case of Thales of Miletus, a figure whose significance is primarily historical rather than philosophical.    Here is a summary of the characterization of Thales of Miletus, considering the doxographic elements that belong to the causal history:

 

The philosopher who is referred to second-hand in Aristotle's doxography as having been the first Greek philosopher, who in his cosmology stated that water is the originator of the world, that it permeates all things, that the Earth rests on water, and that all things are filled with gods. He was also an astronomer who, according to Herodotus, Diogenes Laertius, and Dercyllides, predicted a solar eclipse, and a geometer who, according to Laertius, based on Hieronymus, measured the pyramids by their shadows. (Kirk & Raven, 1971)

 

The insertion of elements from causal history into the description suffices to show that Donnellan’s hermit cannot plausibly be identified with Thales, since Thales himself is absent from the relevant doxographical record. To be sure, the doxographers did attribute falsehoods to him, but the falsity of those attributions does not undermine the fact that they truly said those things. The description, therefore, remains intact. Consequently, the characterization retains its truth, even under the counterfactual supposition that Thales was merely an intelligent well-digger who maintained that all things are water.

   The localizing condition settles the matter, as it remains fully satisfied by Thales, both in form and content. He is described as:

The person who, according to the doxography of Diogenes Laertius, was born in 640 BC and died in 549–546 BC. According to Laertius and Herodotus, Thales was a Milesian, and Laertius wrote that he was the son of Examynes and Cleobulina. According to Laertius and Proclus, he visited Egypt, the traditional source of Greek science, at some point in his life (Kirk & Raven, 1971).

 

Nothing in this descriptive record of causal history is satisfied by Donnellan's hermit, who lived in ancient times and was not even associated with the city of Miletus, and who is referred to by none of the historical sources included in the description. Even if it were discovered that Thales of Miletus had been a well-digger, privileged users would agree that he still completely satisfies the locating description. Lucid indigent users, on the other hand, would suspend judgment until they are better informed.

    It is interesting to note the similarity of our account of reference with Duns Scotus problem of individuation. Aristotle’s distinction between form and matter was intended to secure a twofold mode of identification: indexical reference to the individual through its matter, and essential classification of the species and genus through its form. Yet, as Duns Scotus perceptively observed, neither form nor matter suffices for individuation, since both are instantiated across a multiplicity of beings. What is lacking, Scotus argued, is the differentia individualis, the haecceity that confers upon a particular its irreducible singularity. It is this haecceity that renders that man Aristotle, and not Theophrastus. The theory I have sketched above endeavors to capture precisely the individualizing characteristic sought by Scotus: the features that underwrite the semantic integrity of proper names or the autonomous definite descriptions.

 

5

 

I would now like to apply this theory to Frege's identity puzzle. The puzzle is well known: why are sentences of the form a = a uninformative, in contrast to those of the form a = b?

   We can paraphrase the enigma as a problem of “identity in difference”: how is it possible that sentences of the type a = b express identities while at the same time expressing differences? Frege’s answer is that a = b affirms a numerical identity in the objective reference (Bedeutung), but a difference in the meanings, in the modes of presentation of the object. Consider, for example, the statement "Phosphorus = Hesperus" ("The Morning Star is the Evening Star"). For Frege, this would be an a posteriori and contingent statement, as it could be false. For Kripke, however, it is a necessary a posteriori statement, because even if obtained through experience, the designators ‘Phosphoros’ and ‘Hesperus’ are rigid and must identify the same thing in any possible world.

   To answer the question, we must first consider the identity statement "Venus = Venus." This statement identifies two rules of identification (meanings) for the proper name 'Venus', which appear in square brackets. They can be presented as:

Venus [[2]The planet specified as satisfying sufficiently and more than any other the condition of being the second planet in the Solar System orbiting the Sun between Mercury and Earth at least since some time after being so named] = Venus [the planet specified as sufficiently and more than any other satisfying the condition of being the second planet in the Solar System orbiting the Sun between Mercury and Earth at least since some time after it was so named[3]].

 

Let us now look at the identification rule for ‘Hesperus’:

DI of 'Hesperus(-Venus)' = the celestial body usually seen at dusk as the brightest after the Moon and considered to satisfy sufficiently and more than any other the condition of being the second planet in the Solar System, orbiting the Sun between Mercury and Earth since at least some time after it was named.

I call it Hesperus(-Venus) because the meaning of 'Hesperus' emphasized by the name and underlined by me implies the identification of Venus, since it is well known that Hesperus is also Venus. Let us now look at the rule for identifying 'Phosphorus':

RI-‘Phosphorus-(Venus)’ = the celestial body usually seen in the dawn as the brightest after the Moon, which sufficiently and more than any other satisfies the condition of being the second planet in the Solar System to orbit the Sun between Mercury and Earth since at least some time after it was named.

Note that both Hesperus (-Venus) and Phosphorus (-Venus) implicitly express the same rule for identifying the planet Venus, differing only in the addition of subrules constituting their different meanings or modes of presentation, which the diversity of names emphasizes and which I have therefore underlined. With this unpacking of semantic rules, we can now expose the difference between Phosphorus and Hesperus found in the different Fregean meanings of the two names, while at the same time exposing what they have in common: the same rules for identifying the planet Venus embedded in each name. Let us therefore analyze the statement “Phosphorus = Hesperus”:

 

“Phosphorus(-Venus) = Hesperus(-Venus)”

Phosphorus [A celestial body seen in the morning as the brightest celestial body after the Moon, considered as sufficiently and more than any other to satisfy the condition of being the second planet of the Solar System, which orbits between Mercury and Earth since at least some time after having been named] = Hesperus [A celestial body seen in the evening as the brightest after the Moon, considered as sufficiently and more than any other to satisfy the condition of being the second planet of the Solar System that orbits the Sun between Mercury and Earth since at least some time after having been named.]

 

What is different in this sentence of the type a = b is what is underlined, that is, the respective senses or modes of presentation of ‘Phosphorus’ and ‘Hesperus’ that flank the equality sign. What is identical in this same sentence of the type a = b is what is not underlined, namely, the rule of identification of Venus, which also appears flanking the equality sign. We now have the explanation for identity in difference: the identity is that of two implicit rules, while the difference lies in the sub-rule that makes explicit the different senses. In considering the informative diversity of senses, Frege emphasized what is being underlined.

   We can now identify Kripke’s error in considering this identity, as well as an error committed by Frege himself. I want to begin by considering how Kripke conceives of the identity presented above. For him, the statement “Phosphorus = Hesperus” is understood by cutting off or excluding the explicitation of the diverse senses and substituting the rules of identification of Venus with the causal-historical chain. “Phosphorus = Hesperus” thus becomes:

 

“Phosphorus(-Venus) = Hesperus(-Venus)”

Phosphorus [a celestial body seen in the morning as the brightest after the Moon and (considered as sufficiently and more than any other satisfying the condition of being the second planet of the Solar System, orbiting between Mercury and Earth since at least some time after having been named)] = Hesperus [the celestial body seen at dusk as the brightest after the Moon and (considered as sufficiently and more than any other satisfying the condition of being the second planet of the Solar System that orbits the Sun between Mercury and Earth since at least some time after having been named)].

 

Of course, when considered in this way, this identity is tautological, containing two rigid designators. Kripke’s mistake is to disregard the difference – the part that had been emphasized – and to consider only what was not emphasized in the whole sense of the sentence “Phosphorus(–Venus) = Hesperus(–Venus).” This leads him to see it as a necessary identity, though a posteriori. What he actually does is merely to emphasize the rule of identification of Venus, which in his view must be replaced by an assumed causal history and repeated alongside the identity. In this respect, the identity is necessary, since it is numerical. But he does not pay attention to the fact that the addition of the different senses makes the identity inevitably a posteriori and contingent. (Just imagine a strange cloud of dark substance interposing itself between Venus and us, preventing us from seeing it.) This is how he produces what, at least in this case, is a clear aberration: the necessary a posteriori.

   Now let us see how Frege perceives the statement “Phosphorus = Hesperus”:

 

Phosphorus (Venus) = Hesperus (Venus)

Phosphorus [a celestial body seen in the dawn as the brightest after the Moon and considered as sufficiently, and more than any other, satisfying the condition of being the second planet of the Solar System, which orbits between Mercury and Earth since at least some time after having been named] = Hesperus [the celestial body seen in the evening as the brightest after the Moon and considered as sufficiently, and more than any other, satisfying the condition of being the second planet of the Solar System that orbits the Sun between Mercury and Earth since at least some time after having been named.]

 

Frege ignores the implicit rules for identifying Venus. We see, therefore, that there is also an error on his part here, which is to consider only what differentiates the rules for identifying Phosphorus(-Venus) and Hesperus(-Venus), ignoring what is cut off by believing that the reference (the Bedeutung = the meaning) is the planet itself, without realising that the same rule for identifying Venus is embedded on both sides of the identity. However, since the subrule explaining the difference in meaning is grounded in experience, Frege is right to regard this identity as a posteriori. There is much more to say about identity sentences, but my intention here is to give the gist of a more inclusive way to see identity sentences.

6

What about indexicals? In this case, we need to establish a specific characterization, since the spatio-temporal location is already given. But we only have epistemic access to this location because we have cognitively internalized it. Here, I follow Frege (1918: 76): the thought (Gedanke) expressed in the indexical utterance is independent of context, as shown by the fact that the sentence (Satz) can be detached from context by including the time of utterance, thereby expressing the complete thought.

   Perry challenged Frege’s view. His suggestion becomes clear if we recall his main example. He was pushing a shopping trolley when he noticed a trail of sugar in front of him. He went around the shelf, looking to warn the person that they were making a mess, only to discover that the trail came from his own trolley. He reacts by thinking: “I am making this mess” (1979: 3). According to Perry, it is impossible to paraphrase this statement in an eternal sentence that makes the concrete space-time function of the indexical ‘I’ disappear, since it is not replaceable in any context. It would not be possible for him to say “Perry is making a mess” in the case he were in the early stages of dementia and could not remember his own name... Notwithstanding, I think it is possible to paraphrase Perry’s statement “I am making a mess” in a Fregean manner using an eternal sentence such as the following:

 

(E): At 10 o'clock in the morning on 26 March 1968, in the food section of the Fleury supermarket in Berkeley, Perry notices sugar falling out of his shopping trolley and thinks he is making a mess (or else thinks, ‘I am making a mess’), and, in fact (it is true that), he is making a mess.

It is true that the indexicals ‘he’ and ‘I’ remain. But in line with Frege, they now refer to their meanings rather than to something out there in the world. ‘He’ comes after a propositional attitude verb in a complementary clause, in which it now refers to its meaning, which also occurs with ‘I’ in the sentence in quotation marks. Here, the indexical has been hijacked into the eternal sentence in order to express a thought independent of context. I examined other examples from Perry with the same result (2014: ch. IV).

   One objection to my analysis is that Perry did not consider everything in sentence (E). The answer is that this is unnecessary. If this information were given to Perry, he would tend to agree... Other people, when commenting on the incident, may remember things like the time of day it happened and the name of the supermarket... It is true that the private phenomenal content Perry experienced at that moment is missing. But it is neither necessary nor possible for that content to be contained in the indexical sentence, which is incapable of communicating it.  The important thing about the paraphrase is that it dispels the myth of the essential indexical by demonstrating that it does not eliminate the entirely cognitivist character of the propositional content and, in this respect, is contextually independent of our perceptual recognitions.

7

The proposed theory I am summarizing here can easily be extended to general terms, except that the condition of space-time location inevitably disappears, since predicates are instantiated across a wide variety of locations. But the method remains Austinian: start by examining what dictionaries have to say.

    As is well known, there is no classification of general terms that does not overlap with others. What I did was to introduce a classification symmetrical to that of singular terms, in which general terms are divided into: indexers, descriptors, and nominators.

   Indexers are terms such as 'red' and 'round' that designate what is phenomenally given to the senses. They gain their phenomenal meaning through acquaintance. The rules for attributing these terms are learned interpersonally through positive and negative examples in indexical situations, which makes it impossible for a blind person to learn the phenomenal meaning of the word 'red'.

   Descriptors are analogous to definite descriptions, but with a classifying rather than an identifying function. They can take the form of indefinite descriptions, as in ‘a gold digger’ and ‘a bridgehead’. They are more stable than indexers, just as definite descriptions are more stable than indexicals.

    Finally, there are the nominators, traditionally called 'general names', such as 'tiger', 'water', and 'chair'. They are not only stable, like definite descriptions, but also more flexible, like proper names. And just as there is a genetic progression that tends to go from contextual learning given by indexicals to the learning of definite descriptions and, finally, to proper names, there is also a genetic progression that begins with indexers, then moves on to descriptors, and ends with nominators. I would like to analyze two cases of nominators to show how the proposed scheme for proper names can be adapted to them.

   Consider how Kripke considered the nominator ‘tiger’. Against descriptivism, he noted that the description of the tiger as:

 

Large and fierce Asian carnivorous quadruped animal with yellowish-brown fur, transverse stripes, and a white belly (1980: 119),

 

It is neither necessary nor sufficient. It is not necessary because we can, in a possible world, find animals that satisfy Dt but that have a genetic layout closer to reptiles than to felines; it is not sufficient because we can imagine that evolution produces something like the shame of the species: small herbivorous tigers that walk on their hind legs and are as tame as rabbits.

   The problem lies in the simplified definition, which relies solely on superficial traits. Here is a rule of attribution (Tugendhat’s Verwendungsregel) more suitably associated with the nominative term ‘tiger,’ capable of making it a rigid designator in the sense of being applicable in any possible world in which tigers exist:

 

RA – ‘tiger’:

We attribute the concept of tiger to a specimen as follows:

(i) It is a large carnivorous mammal belonging to the family Felidae and the genus Panthera. It is the largest cat species, native to Asia. Its essential mark is the possession of the same mitochondrial DNA, which enables it to interbreed with its subspecies and produce fertile offspring. It is usually recognized externally by its dark transverse stripes, orange coat, and white belly.

(ii) It sufficiently satisfies (i).

(iii) It satisfies (i) more than any other specimen of the genus Panthera.

 

Note that there is no longer any locating condition here, since general terms can apply in a wide range of places and times.

   Here we also find privileged and indigent users, as well as the application of borrowed reference. In a classic example, a person may think that a whale is a fish when, in fact, it is an aquatic mammal, which still leads to a convergent use of the term. But if a child thinks that “whale” is the name of a mountain in the Appalachians, they do not even get the general class of aquatic animals right, so we cannot even admit that they referred to whales in a parasitic way.

   Note that there is no longer a locative condition here, since general terms can apply in a wide variety of places and times.

8

Although I have examined a considerable number of conceptual terms, I now want to focus on the general term “water”, perhaps the most discussed in theories of reference. It is essential to note that our understanding of the word “water” underwent a revolutionary change with the development of chemistry. From this resulted two uses or cores of meaning for the word: the popular and the scientific.

   The popular core is the one that has been with us for thousands of years: that of an “aqueous liquid,” transparent, odorless, and tasteless, which quenches thirst, extinguishes fire, serves for washing, falls as rain, and covers rivers, lakes, and seas.

   It remained so until the late eighteenth and early nineteenth centuries, when what I call the scientific use or sense of the term emerged (Ball 2000). As Avrum Stroll observed (1998: 71), good modern dictionaries also account for this sense, which is summarized by the formula H₂O, but which is inferentially much more complex when considered by its privileged users, namely chemists. They know, for example, that the slightly negative charge of the oxygen atom is attracted to the slightly positive charge of the hydrogen atoms of other molecules, forming chains responsible for its higher surface tension, or that near absolute zero water liquefies again...

It is also clear that, depending on the context of use, one of these meanings is emphasized while the other is forgotten. For example, in a chemistry laboratory where students are conducting electrolysis experiments, the term's scientific meaning is emphasized. But if we consider the context of use in an Indigenous community whose sole interest is drinking and washing, the popular meaning is emphasized.

The final attribution rule that I proposed as being well-known to privileged users is:

 

RA-“water”:

We assign the word “water” to a sample if:

(i-a) the sample satisfies the constitutive characterization condition of its popular semantic core, and/or

(i-b) it satisfies the constitutive characterization condition of its scientific semantic core;

(ii) it satisfies these characterizing conditions to a sufficiently complete degree;

(iii) it satisfies them more than any other inorganic compound.

 

This inclusive disjunction must not be confused with that of proper names. It merely indicates that we can speak of water by reference either to its popular core or to its scientific core of meaning. It is not required that ordinary users know the chemical composition of water in order for us to admit that they are capable of referring to it, nor that they possess exhaustive knowledge of the popular core.

Thus, the old conceptual conflict between descriptivists such as A. J. Ayer (1984) and Avrum Stroll (1998), and referentialists such as Kripke (1980: 128) and Putnam (1975), concerning the concept of water, is dissolved. The former admitted only the superficial popular descriptive core of the word’s meaning, as though descriptivism were inevitably committed to surface-level descriptions, while the latter admitted only the scientific core. Both failed to recognize that the attribution rule accommodates both cases.

   I now wish to demonstrate the explanatory power of the attribution rule by refuting Putnam’s famous externalist argument of the Twin Earth (Putnam 1975: 224). According to Putnam, Oscar-1 is on Earth, and Oscar-2 is on Twin Earth, which is practically identical to our Earth, including its history, except for the fact that the “watery liquid” that quenches thirst, extinguishes fire, and falls as rain has, on Twin Earth, the composition XYZ rather than H₂O. Thus, faced with a rainfall in 1750, Oscar-1 on Earth says: “This is water!” And Oscar-2 on Twin Earth likewise says: “This is water!” Since around 1750, the chemical composition of water was not yet known, all that the Oscars could have in their minds was the same idea of a transparent, odorless liquid falling as rain. Nevertheless, they referred to different things: Oscar-1 referred to H₂O, and Oscar-2 referred to XYZ, even though they did not know it. For Putnam, the difference is semantic, since they “meant” different things. Hence, Putnam concluded that Oscar-1 and Oscar-2, without knowing it, attributed different meanings to water in 1750: for the former, water meant samples of H₂O, and for the latter, samples of XYZ. Conclusion: meaning is not in the head! For in their heads, they had only the same idea of the watery liquid. Meaning belongs essentially to the external world.[4] It did not take long for a philosopher named John McDowell (1992) to carry this reasoning to an extreme, concluding that, since the locus of meaning is the mind, the mind itself lies outside the head.

Keeping in view the evolution of the attribution rule for the nominative term “water”, it becomes easy to refute Putnam’s argument (Costa 2022: ch. 8). To begin with, it must be recalled that to mean in English signifies both “to intend to say” (to signify) and “to point to,” as when someone says: “I mean this table and not that chair.” What Putnam did was to employ the word in the first sense within a context in which the second sense ought to have prevailed. What the Oscars “meant” differently was the referent they pointed to, not what they had in mind.

   However, the sense of ‘to mean‘ as “signification,” as “what one intends to say,” was in 1750 restricted to the popular meaning of the word, which was in itself sufficient to sustain its application. Thus, both Oscars possessed only this popular semantic core of water—namely, the “watery liquid” (dismissed by Putnam) – in their heads. On the other hand, it is evident that, when we consider “meant” in the sense of “to point to,” the Oscars were unknowingly pointing to H₂O on Earth and to XYZ on Twin Earth.

Considering these distinctions, it becomes clear how the semantic trick operates: when Putnam tells us that in 1750 the two Oscars “meant” different things by the word water, he is merely inducing us, surreptitiously, to use Oscar-1 and Oscar-2 as indexical instruments for what we ourselves intend to say (meant in the sense of “signify”) with the word ‘water‘ in each case. After all, it is evident that almost all of us today take the scientific core into account. We presently understand water as the aqueous liquid H₂O when considering what Oscar-1 is pointing to, and we regard the aqueous liquid pointed to by Oscar-2 as XYZ (whatever that may be), making it clear that what we have in mind is different.

   By a covert appeal to our distinct mental states applied to the objects referred to by the Oscars, Putnam managed to persuade many, as well as himself, that his Oscars of 1750 really meant water by attributing different meanings to their referents. It is therefore unsurprising that, many years later, he confessed to Searle that he had ceased to believe in his Twin Earth fantasy.[5]   

   Semantic externalism has played a crucial role in the development of contemporary philosophy of language. Its arguments are often profound, and without them the dialectical trajectory of the theory under consideration could scarcely have taken flight. Yet the position rests on a genetic fallacy: because meaning is traced to external origins, it comes to be mistakenly conceived as possessing an external component. The fact that the genetic fallacy admits of ever more refined formulations does not absolve it of being what it is (cf. Kallestrup 2012). In an extended sense, “meaning” may substitute for “importance,” as when we say that the conquest of the Americas was a “significant” external event. In its primary sense, however, meaning is internal. It consists of rules, or combinations of linguistic rules, that are instantiated cognitively in our minds, and they do so continuously, independently of what happens out there.

 

 

 

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McDowell, John. 1992. “Putnam on Mind and Meaning.” In A. Pessin and S. Goldberg, eds., The Twin Earth Chronicles: Twenty Years of Reflection on Hilary Putnam’s ‘The Meaning of ‘Meaning’.’ New York: M. E. Sharpe.

Perry, John. 1979. “The Problem of the Essential Indexical.” Nous 13: 3–21.

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[2] I include in brackets a description of what belongs to the meanings or senses (Sinne) of the names in Frege’s sense.

[3] With 'at least for some time...' I want to block the objection that in another possible world 'Venus' may have later changed its orbit, been destroyed, etc., while still identifiable.

[4] Putnam admitted (1975: 270) that, in addition to this most important external extensional component of the meaning of the word ‘water’, there are syntactic markers (mass noun) and semantic markers (natural kind terms), as well as psychological stereotypes (surface descriptions). This is correct, but it only further confuses the credulous reader. (According to Searle, Putnam later admitted to him that he no longer believed in his own externalism.)

 

[5] I took care to refute Putnam’s other two examples in the article on Twin Earth (... 2023: 235–236), along with some ingenious examples by Tyler Burge (1973; ... 2023: 237–239) and David Kaplan (1989: 516–517, 531–532; ... 2023: 239–241), respectively concerning the externality of thought and of indexicals.

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