I defend the hypothesis that the semantic paradoxes, the paradoxes about collections, and the sorites paradoxes, are all paradoxes of reference fixing: they show that certain conventionally adopted and otherwise functional reference-fixing principles cannot provide consistent assignments of reference to certain relevant expressions in paradoxical cases. I note that the hypothesis has interesting implications concerning the idea of a unified account of the semantic, collection and sorites paradoxes, as well as about the explanation of their (...) “recalcitrance”. I also note that it does not necessarily imply that one should not expect the sometimes hoped for “unique” solution to a paradox of these kinds. (shrink)

The paper defends a version of Direct Reference for indexicals on which reference-fixing material (token-reflexive conditions) plays the role of an ancillary presupposition.

Theoria, Volume 88, Issue 2, Page 438-452, April 2022.

Donnellan argues for a radical limitation of Kripke’s thesis concerning the possibility of contingent truths knowable a priori as a result of descriptive reference fixing for names. According to the former, in the absence of some form of acquaintance between the speaker and the object of knowledge, there can be no de re singular knowledge envisaged by Kripke. And in the presence of acquaintance, there can be no a priori knowledge. On the other hand, Jeshion argues that Donnellan’s (...) main argument is fundamentally flawed. She explores a loophole intentionally left open by Donnellan to say that he has not ruled out an alternative explanation for the problem that motivates the revision of Kripke’s thesis. In this paper, I access Jeshion’s argument against Donnellan. As I intend to show, she does not fully appreciate a second loophole in Donnellan’s account that offers a more appropriate way of seeing Kripke’s examples. (shrink)

This paper deals with three puzzles concerning reference. The first concerns the Kripkean distinction between reference fixing by description and meaning giving. The second concerns the compatibility of two properties of names, arbitrariness and rigidity across world. The third concerns the tenability of the notion that a name means its bearer considering that a name is meaningful even when the bearer is no longer. The solution of the first consists in seeing that the distinction involved is not (...) essentially a modal distinction. The solution of the second consists in setting things right with our modal talk. The solution of the third consists in realizing the persistence across times of the enjoyment of certain properties. (shrink)

Filipe Martone argues that reference-fixing intentions where the intended object is represented by means of a description can never fix the reference of a demonstrative, and that a speaker, as a matter of empirical fact, never has simultaneous perceptual and non-perceptual reference-fixing intentions that she can intend as fixing the reference of a demonstrative. In this note I reject Martone’s arguments for these claims.

According to the causal-historical theory of reference, natural kind terms refer in virtue of complicated causal relations the speakers have to their environment. A common objection to the theory is that purely causal relations are insufficient to fix reference in a determinate fashion. The so-called hybrid view holds that what is also needed for successful fixing are true descriptions associated in the mind of the speaker with the referent. The main claim of this paper is that the (...) objection fails: reference fixing of natural kind terms can be purely causal. The main argument draws inspiration from recent theoretical advances made in metaphysics of kinds by Marion Godman, Antonella Mallozzi, and David Papineau. The main claim is that their notion of super-explanatory properties may explain how reference of many kind terms can be fixed purely causally. (shrink)

Axel Barceló has extended the objectivist apparatus for handling color terms that I develop in my book Roads to Reference, so that the extension covers also some aesthetic predicates. In this note I argue that Barceló’s extension probably attempts to go too far.

Melisa Vivanco objects to my theory of the Arabic numerals in Roads to Reference that the reference fixing procedure that I postulate doesn’t exploit the morphological structure of the Arabic numerals, but it should. Against Vivanco, I argue that the procedure in question does exploit the morphological structure of the numerals in an essential way.

In his "Materialism without Reductionism: What Materialism Does not Entail," Richard Boyd answers Kripke's challenge to materialists to come up with a way to explain away the apparent contingency of mind-brain identities. Boyd accuses Kripke of an imaginative myopia manifesting itself as a failure to realize that the more theoretical term in the identity is fixed by contingent descriptions - descriptions that might pick out otherworldly kinds of neural events where C-fibres are absent. If this is something we can confuse (...) in the imagination with actual C-fibre firings, then we have an explanation of the apparent contingency of the necessary identity 'Pain=C-fiber firings.' However, for this to succeed it must be the case that the reference of 'C-fiber firings'€™ is fixed by some contingent description, which is false. Boyd, I submit, has failed to answer Kripke'€™s challenge after all. (shrink)

I reply to comments and criticism of my book Roads to Reference by Scott Soames (on the referents of ordinary substance terms and the conventions governing reference fixing for demonstratives, proper names, and color adjectives), Panu Raatikainen (on the exact scope of my critique of descriptivism and on the relation between referential indeterminacy and ‘‘partial reference’’), and Michael Devitt (on the role of referential intentions and anti-descriptivism in the metasemantics of demonstratives).

Perhaps the philosophical thesis most commonly associated with Brentano is that intentionality is the mark of the mental. But in fact Brentano often and centrally uses also what he calls ‘inner perception’ to demarcate the mental. In this paper, I offer a new interpretation of Brentano’s conception of the interrelations between mentality, intentionality, and inner perception. According to this interpretation, Brentano took the concept of mind to be a natural-kind concept, with intentionality constituting the underlying nature of the mental and (...) inner-perceivability serving as the concept’s reference-fixer. (shrink)

Eleonora Orlando argues that one must understand some descriptivist theories of names that I criticize in my book Roads to Reference as ceteris paribus generalizations, and that on this understanding they survive my criticisms; she also introduces some doubts about my views on the knowledge speakers have of the reference-fixing conventions I postulate for proper names. In this note I argue against Orlando’s suggestion about ceteris paribus provisos and explain my view of the epistemology of reference- (...) class='Hi'>fixing conventions. (shrink)

Summary One of the central questions concerning theories of reference has been the problem of how the reference of scientific terms gets fixed. Descriptive causal theories of reference, as discussed in this paper, have re-introduced the role of theoretical beliefs and conceptualisations in term introductions and reference-fixing. The present paper argues that the idea of reference-fixing as a dot-like event (baptism) is wrong: a number of episodes from the history of science are discussed (...) to support the claim that reference-fixing is a historical, drawn-out process. This, however, does not stand in the way of successful reference. The two processes are simply separated. A criterion is suggested to determine successful reference. From this approach two further ideas follow: not all scientific terms actually have the power of referring and even those that do will always retain a residual indeterminacy. (shrink)

I comment on two problems in Glover's account. First, semantic representations are not always available to awareness. Second, some functional properties, the affordances of objects, should be encoded in the dorsal system. Then I argue that the existence of Glover's two types of representations is supported by studies on “object-centered” attention. Furthermore, it foreshadows a nondescriptive causal reference fixing process.

Possible world semantics considers not only what an expression actually refers to but also what it might have referred to in counterfactual circumstances. This has proven exceptionally useful both inside and outside philosophy. The way this is achieved is by using intensions. An intension of an expression is a function that assigns to each possible world the reference of the expression in that world. However, the specific intension of terms has been subject to frequent disputes. How is one to (...) determine the intension of a term? Carnap has shown how the intension of a term depends on the type of that term. Two-dimensional semantics has shown how intensions also depend on the actual state of affairs. I will show how, in addition, intensions are no less dependent on metaphysical criteria of identity. Furthermore, I will reveal how these three factors interact to fix the exact intension of a term. In other words, I propose an outline of the overall mechanism by which intensions are being fixed. (shrink)

I offer a new objectivist theory of the contents of color language and color experience, intended especially as an account of what normal intersubjective variation in color perception and classification shows about those contents. First I explain an abstract account of the contents of color and other gradable adjectives; on the account, these contents are certain objective properties constituted in part by contextually intended standards of application, which are in turn values in the dimensions of variation associated with the adjectives. (...) Then I propose an explanation of normal variations in linguistic color classification; these are postulated to be effects of differences in intended standards for the color adjectives appearing in the classifying predicates. Next, I consider a potential objection to this explanation, based on the suggestion that contextual content should be more accessible than the explanation predicts. In reply, I point out that contextual content is occasionally opaque to unsophisticated reflection. Finally, I present a companion account of the contents of color experiences on which these represent an object as lying on certain salient intervals in the chromatic dimensions, and I show how the account accommodates intersubjective variation in color perception. (shrink)

Imogen Dickie develops an account of aboutness-fixing for thoughts about ordinary objects, and of reference-fixing for the singular terms we use to express them. Extant discussions of this topic tread a weary path through descriptivist proposals, causalist alternatives, and attempts to combine the most attractive elements of each. The account developed here is a new beginning. It starts with two basic principles, the first of which connects aboutness and truth, and the second of which connects truth and (...) justification. These principles combine to yield a third principle connecting aboutness and justification. Dickie uses the principle to explain how the relations to objects that enable us to think about them--perceptual attention; understanding of proper names; grasp of descriptions--do their aboutness-fixing and thought-enabling work. The book includes discussions of the nature of singular thought and the relation between thought and consciousness. (shrink)

In the last decade a new debate concerning the foundations of reference and semantics emerged, which mainly focuses on how to interpret Donnellan’s seminal works and, in particular, on _how_ it differs from Kripke’s influential contributions to so-called “direct reference”. In this paper, I focus on this “new” reading/understanding of Donnellan and how, as it is nowadays presented, differs from Kripke’s picture. I will discuss a Kripke-inspired picture and the way it differs from a Donnellan-inspired one and show (...) that there is a tension between the views that: (i) the token of a name refers to the object conventionally (causally) linked with the tokened name _and_ (ii) the token of a name refers to the object the speaker has in mind. I will end up suggesting that Korta and Perry’s (Critical pragmatics, Cambridge University Press, Cambridge, 2011 ) critical referentialism/pragmatics and their name-notion network conception help to clarify this tension (and possibly evade it). (shrink)

The answer I shall sketch is not mine. Nor, as far as I can tell, is it an answer to be found in the voluminous literature inspired by Kripke’s work. Many of the elements of the answer are to be found in the writings of Wittgenstein and his Austro-German predecessors, Martinak, Husserl, Marty, Landgrebe and Bühler. Within this Austro-German tradition we may distinguish between a strand which is Platonist and anti-naturalist and a strand which is nominalist and naturalist. Thus Husserl’s (...) account of what he calls “directly referring” uses of singular terms invokes senses or individual concepts, albeit simple, not descriptive senses. But the account of reference fixing and reference given by Landgrebe, Bühler and Wittgenstein rejects senses.1 I confine further reference to these writers to footnotes since my aim here is to develop and unify some of their suggestions, in particular by comparing them with more recent work (cf. Mulligan 1997). (shrink)

Kripke and Putnam have proposed that terms may be introduced to refer to theoretical entities by means of causal descriptions such as 'whatever causes observable effects O'. It is argued that such a reference-fixing definition is ill-formed and that theoretical beliefs must be involved in fixing the reference of a theoretical term. Some examples of reference-fixing are discussed e.g., the term 'electricity'. The Kripke-Putnam theory can not give an account of how terms may be (...) introduced into science and then subsequently be discovered to be non-referring. A modified account of reference-fixing is suggested in which terms such as Gilbert's electric effluvia' and 'phlogiston' can be introduced into science and then be found to lack a reference. (shrink)

We clarify the respective roles fixed points, diagonalization, and self- reference play in proofs of Gödel’s first incompleteness theorem.

Slides for the first tutorial on Gödel's incompleteness theorems, held at UniLog 5 Summer School, Istanbul, June 24, 2015.

It is fair enough to refer, as Father Clarke does, to the God of the Christians and the Jews as ‘the one infinite Creator of all other things’. It is reasonable to take ‘God’ as a term that has certain conditions associated with it. These conditions fix its meaning. The central conditions associated with ‘God’ are: being infinite or unlimited, eternal, self-existent, the creator of everything that exists other than himself, the being upon whom all other beings are dependent but (...) who depends on nothing himself, being personal, good, loving and holy. These conditions determine our concept of God, determine what could count as a referent for the term ‘God’. In short, God, as John Hick remarks, is conceived in Western Religions ‘as the infinite, eternal, uncreated, personal reality, who has created all that exists other than himself, and who has revealed himself to his human creatures as holy and loving’. (shrink)

Wittgenstein speaks of the fog that surrounds the workings of language. Our ways of thinking about reference contribute generously to the fog. While a full discussion would constitute a book-length project, my aims here are quite limited. I want to have a look at the idea that reference is a relation between a piece of language and a piece of reality. The idea might seem unexceptional and unexceptionable; names, for example, name things, and “relation” seems just right. But (...) there is casual relation-talk, and then more serious talk of a genuine relation, one that requires the existence, in every case, of a referent. Referential expressions, I’ll argue, sometimes lack such a relatum, and other timeswhen in some straightforward way there is such a thingit’s quite difficult to know what we are talking about. (shrink)

In De gravitatione, Newton contends that Descartes' physics is fundamentally untenable since the "fixed" spatial landmarks required to ground the concept of inertial motion cannot be secured in the constantly changing Cartesian plenum. Likewise, it is has often been alleged that the collision rules in Descartes' Principles of Philosophy undermine the "relational" view of space and motion advanced in this text. This paper attempts to meet these challenges by investigating the theory of connected gears (or "kinematics of mechanisms") for a (...) potential Cartesian method of positing the permanent reference frames necessary to uphold Descartes' conservation law for the quantity of motion. In particular, the insights gained from an examination of the kinematics of mechanisms will provide the Cartesian with much needed resources to counter the two threats posed above. (shrink)

An examination of the similarities between Kripke's treatment of the references of proper names, and Halevi's discussion of the reference of 'God'.

According to Putnam the reference of natural kind terms is fixed by the world, at least partly; whether two things belong to the same kind depends on whether they obey the same objective laws. We show that Putnam's criterion of substance identity only "works" if we read "objective laws" as "OBJECTIVE LAWS". Moreover, at least some of the laws of some of the special sciences have to be included. But what we consider to be good special sciences and what (...) not depends upon our values. Hence, "objective laws" cannot be read as "OBJECTIVE LAWS". It follows that the reference of natural kind terms cannot be fixed by the world, not even partly. The final conclusion applies to a variety of realisms. (shrink)

The semantic paradoxes are associated with self-reference or referential circularity. However, there are infinitary versions of the paradoxes, such as Yablo's paradox, that do not involve this form of circularity. It remains an open question what relations of reference between collections of sentences afford the structure necessary for paradoxicality -- these are the so-called "dangerous" directed graphs. Building on Rabern, et. al (2013) we reformulate this problem in terms of fixed points of certain functions, thereby boiling it down (...) to get a purely mathematical problem. (shrink)

The main focus of my comments is the role played in Dickie's view by the idea that "the mind has a need to represent things outside itself". But there are also some remarks about her (very interesting) suggestion that descriptive names can sometimes fail to refer to the object that satisfies the associated description.

One of the problems in economics that economists have devoted a considerable amount of attention in prevalent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it is asked under what circumstances such equilibrium is possible. The fundamental mathematical tools used to address this concern are fixed point theorems: the conditions under which sets of assumptions have a solution. This book gives the reader access to the mathematical techniques (...) involved and goes on to apply fixed point theorems to proving the existence of equilibria for economics and for co-operative and noncooperative games. Special emphasis is given to economics and games in cases where the preferences of agents may not be transitive. The author presents topical proofs of old results in order to further clarify the results. He also proposes fresh results, notably in the last chapter, that refer to the core of a game without transitivity. This book will be useful as a text or reference work for mathematical economists and graduate and advanced undergraduate students. (shrink)

Pure causal theories of reference cannot account for cases of theoretical term reference failure and do not capture the scientific point of introducing new theoretical terminology. In order to account for paradigm cases of reference failure and the point of new theoretical terminology, a descriptive element must play a role in fixing the reference of theoretical terms. Richard Boyd's concept of theory constituitive metaphors provides the necessary descriptive element in reference fixing. In addition (...) to providing a plausible account of reference failure and success, a metaphor approach to reference fixing provides the basis for a plausible realist account of the progress of science. Indeed, the metaphor approach undermines the sceptical force of the meta-induction and Laudan's objections to scientific realism. (shrink)

Two fundamental rules of reasoning are Universal Generalisation and Existential Instantiation. Applications of these rules involve stipulations such as ‘Let n be an arbitrary number’ or ‘Let John be an arbitrary Frenchman’. Yet the semantics underlying such stipulations are far from clear. What, for example, does ‘n’ refer to following the stipulation that n be an arbitrary number? In this paper, we argue that ‘n’ refers to a number—an ordinary, particular number such as 58 or 2,345,043. Which one? We do (...) not and cannot know, because the reference of ‘n’ is fixed arbitrarily. Underlying this proposal is a more general thesis: Arbitrary Reference : It is possible to fix the reference of an expression arbitrarily. When we do so, the expression receives its ordinary kind of semantic-value, though we do not and cannot know which value in particular it receives. Our aim in this paper is defend AR. In particular, we argue that AR can be used to provide an account of instantial reasoning, and we suggest that AR can also figure in offering new solutions to a range of difficult philosophical puzzles. (shrink)

Shaun Nichols has recently argued that while the folk notion of free will is associated with error, a question still remains whether the concept of free will should be eliminated or preserved. He maintains that like other eliminativist arguments in philosophy, arguments that free will is an illusion seem to depend on substantive assumptions about reference. According to free will eliminativists, people have deeply mistaken beliefs about free will and this entails that free will does not exist. However, an (...) alternative reaction is that free will does exist, we just have some deeply mistaken beliefs about it. According to Nichols, all such debates boil down to whether or not the erroneous folk term in question successfully refers or not. Since Nichols adopts the view that reference is systematically ambiguous, he maintains that in some contexts it’s appropriate to take a restrictivist view about whether a term embedded in a false theory refers, while in other contexts it’s appropriate to take a liberal view about whether a token of the very same term refers. This, according to Nichols, affords the possibility of saying that the sentence “free will exists” is false in some contexts and true in others. In this paper I argue that even if we grant Nichols his pluralistic approach to reference, there is still good reason to prefer eliminativism to preservationism with regard to free will. My argument focuses on one important difference between the concept of “free will” and other theoretical terms embedded in false theories—i.e., the role that the phenomenology of free agency plays in reference fixing. (shrink)

Reference may be fixed by stipulation through a speech act, just like bets and marriages. An utterance of _Let n refer to an/the F_ is a speech act by means of which, if successful, a speaker institutes a practice of referring, and a hearer coordinates by choosing a referent from the domain of discourse. We articulate a metasemantics for this view. On our view, the interlocutors can select a referent randomly, if necessary, motivated by the incentive to coordinate on (...) the use of a name. Moreover, we argue that reference fixed by a performative speech act is ‘thin’, or ‘undemanding’. Finally, we defend the thesis that co-reference might not determinately obtain despite reference being fixed. Performative reference makes sense of ordinary speakers’ practices, who appear to be very liberal and unimpressed by skepticism toward causally inert or epistemically indiscernible objects. (shrink)