Is the debate over the existence of numbers unsolvable? Mario Gómez-Torrente presents a novel proposal to unclog the old discussion between the realist and the anti-realist about numbers. In this paper, the strategy is outlined, highlighting its results and showing how they determine the desiderata for a satisfactory theory of the reference of Arabic numerals, which should lead to a satisfactory explanation about numbers. It is argued here that the theory almost achieves its goals, yet it does not capture the (...) relevant association between how a number can be split up and the morphological property of Arabic numerals to be positional. This property seems to play a substantial role in providing a complete theory of Arabic numerals and numbers. (shrink)

This paper continues an ongoing debate between Michael Devitt and me on referential uses of definite descriptions. He has argued that definite descriptions have referential meanings, and I have argued that they do not. Having previously rebutted the view that referential uses are akin to particularized conversational implicatures, he now he rebuts the view that they are akin to generalized conversational implicatures. I agree that the GCI is not the best model, but I maintain that in exploiting (...) the quantificational meaning of definite descriptions, referential uses involve a different sort of pragmatic regularity. Also, I try to bolster my objection to Devitt’s claim that the word ‘the’ is semantically ambiguous. (shrink)

Referential uses of quantified determiner phrases other than descriptions have not been extensively considered. In this paper they are considered in some detail, and related to referential uses of descriptions. The first aim is to develop the observation that, contrary to the currently received view that it is only for descriptions that referential uses are frequent and standard, arising in run-of-the-mill contextual scenarios, this is in fact the case for all usual kinds of quantifier phrases. A second (...) aim is to offer a preliminary discussion of how these data about quantifier phrases other than descriptions constrain the feasible extensions of theories of descriptions to cover the referential uses of quantifier phrases in general. I argue that the data don’t support a semantic explanation of referential uses of descriptions, and in fact suggest problems for several semantic theories of referential uses of quantifier phrases in general. I also argue that pragmatic theories of referential uses of quantifier phrases in general might plausibly explain standard referential uses as involving a genus of particularized conversational implicatures in which no conversational maxims are “flouted” or even violated, rather than generalized implicatures or particularized implicatures of Grice’s “exploitative” type. I nevertheless emphasize that I don’t take the dispute between semantic and pragmatic theories of referential use to have been satisfactorily resolved. (shrink)

This paper enters the continuing fray over the semantic significance of Donnellan’s referential/attributive distinction. Some holdthat the distinction is at bottom a pragmatic one: i.e., that the difference between the referential use and the attributive use arises at the level of speaker’s meaning rather the level of sentence-or utterance-meaning. This view has recently been challenged byMarga Reimer andMichael Devitt, both of whom argue that the fact that descriptions are regularly, that is standardly, usedto refer defeats the pragmatic approach. (...) The present paper examines a variety of issues bearing on the regularity in question: whether the regularity would arise in a Russellian language, whether the regularity is similar to the standard use ofcomplex demonstratives, and whether the pragmatic approach founders on the problem of dead metaphors. I argue that the pragmatic approach can readily explain all of these facets ofthe referential use of descriptions. (shrink)

A number of philosophers continue to argue, inthe spirit of Keith Donnellans classic paperReference and Definite Descriptions, thatthere is more to the semantics of definitedescriptions than Russells theory predicts. If their arguments are correct, then a completesemantic theory for sentences that containdefinite descriptions will have to provide morethan one set of truth conditions. A unitaryRussellian analysis of sentences of the form`the F is G would not suffice. In this paper,I examine a recent line of argument for thisanti-Russellian conclusion.Unlike earlier Donnellan-style (...) arguments, thenew argument does not rely upon the mereexistence of referential uses of definitedescriptions or the possibility of conveyinginformation about an object by misdescribingit. I argue, however, that we ought to rejectthis new line of reasoning and rest contentwith a Russellian theory of definitedescriptions. (shrink)

Abduction is reasoning which produces explanatory hypotheses. Models are one basis for such reasoning, and language use can function as a model. I treat children’s early use of mental verbs as a model for dealing with a problem from developmental psychology, namely, how children’s early non-referential use of mental verbs might give children an early grasp of the mental realm. The present paper asks what practical knowledge of mental actions accompanies children’s competent use of mental verbs. I begin with (...) examples of non-referential verb uses and some theories from Diessel and Tomasello as bases for discussion. I argue that in using mental verbs non-referentially children understand several kinds of relations which people have to situations. Children learn how to use mental verbs to request someone to search for a situation in the past or in the physical surroundings; they learn to express hopes so as to affect their future; they learn to vouch strongly or weakly for the existence of a situation. In all of these cases it appears that the children’s main focus is on interactions with people, in which one person’s mental action in relation to a situation described in a COMP-clause is intended to have an effect on the other person. Children do not understand the nature or mechanisms of any of these mental actions, but instead focus on practical matters: how to use the verbs to perform certain actions in relation to other people and various situations. It appears that in these early uses children do not view mind as at all separate from the interactional and physical world. (shrink)

In this paper it will be shown that a substantial conception of semantics, one that does not regard semantic phenomena as subsumed under pragmatic ones, is necessary to account for what cries out for an explanation regarding the old problem of the semantic relevance of the referential/attributive distinction, as applied to singular definite descriptions. I consider some alternative proposals to deal with the data, showing why they are wrong, and I finish by establishing that some arguments that allegedly derive (...) the conclusion that some substantial conception of semantics is basically wrong, simply beg the question against their opponents, assuming a form of the very conclusion they want to vindicate. (shrink)

While recent studies have claimed that non-referential gestures are used to mark discourse-new and/or -accessible referents and focused information in adult speech, to our knowledge, no prior investigation has studied the relationship between information structure and gesture referentiality in children’s narrative speech from a developmental perspective. A longitudinal database consisting of 332 narratives performed by 83 children at two different time points in development was coded for IS and gesture referentiality. Results revealed that at both time points, both (...) class='Hi'>referential and non-referential gestures were produced more with information that moves discourse forward and predication rather than topical or background information. Further, at 7–9 years of age, children tended to use more non-referential gestures to mark focus and comment constituents than referential gestures. In terms of the marking of the newness of discourse referents, non-referential gestures already seem to play a key role at 5–6 years old, whereas referential gestures did not show any patterns. This relationship was even stronger at 7–9 years old. All in all, our findings offer supporting evidence that in contrast with referential gestures, non-referential gestures have been found to play a key role in marking IS, and that the development of this relationship solidifies at a period in development that coincides with a spurt in non-referential gesture production. (shrink)

A naturalistic scheme of primitive conceptual representations is proposed using the statistical measure of mutual information. It is argued that a concept represents, not the class of objects that caused its tokening, but the class of objects that is most likely to have caused it (had it been tokened), as specified by the statistical measure of mutual information. This solves the problem of misrepresentation which plagues causal accounts, by taking the representation relation to be determined via ordinal relationships between conditional (...) probabilities. The scheme can deal with statistical biases and does not rely on arbitrary criteria. Implications for the theory of meaning and semantic content are addressed. (shrink)

Each of us bears a unique name given to us at birth. When people use your name, they typically refer to you. But what is the linkage that ties a name to a person and hence allows it to refer? Li's book approaches this question of reference empirically through the medium of referential intuitions. Building on the literature on philosophical and linguistic intuitions, she proposes a linguistic-competence-based account of referential intuitions. Subsequently, using a series of novel experiments, she (...) investigates the variation of referential intuitions across different cultures, as well as the developmental trajectory and the underlying causes of the observed cultural differences. What she finds is that the cultural patterns of referential intuitions are already in place around age seven, and the differences are largely attributable to the distinct perspective taking strategies favoured by easterners and westerners, rather than the moral valence of actions involved in the experimental materials. These results are taken to better support referential pluralism (in particular, the ambiguous view) than referential monism. By undertaking this fascinating research, Li's book provides new insights into the cognitive mechanisms underlying people's referential usage of names. It will be valuable to students and scholars of linguistics, philosophy of language and experimental philosophy, and in particular, to those who research into semantic intuitions and theories of reference. (shrink)

A naturalistic scheme of primitive conceptual representations is proposed using the statistical measure of mutual information. It is argued that a concept represents, not the class of objects that caused its tokening, but the class of objects that is most likely to have caused it (had it been tokened), as specified by the statistical measure of mutual information. This solves the problem of misrepresentation which plagues causal accounts, by taking the representation relation to be determined via ordinal relationships between conditional (...) probabilities. The scheme can deal with statistical biases and does not rely on arbitrary criteria. Implications for the theory of meaning and semantic content are addressed. (shrink)

The current study assessed the extent to which the use of referential prosody varies with communicative demand. Speaker–listener dyads completed a referential communication task during which speakers attempted to indicate one of two color swatches (one bright, one dark) to listeners. Speakers' bright sentences were reliably higher pitched than dark sentences for ambiguous (e.g., bright red versus dark red) but not unambiguous (e.g., bright red versus dark purple) trials, suggesting that speakers produced meaningful acoustic cues to brightness when (...) the accompanying linguistic content was underspecified (e.g., “Can you get the red one?”). Listening partners reliably chose the correct corresponding swatch for ambiguous trials when lexical information was insufficient to identify the target, suggesting that listeners recruited prosody to resolve lexical ambiguity. Prosody can thus be conceptualized as a type of vocal gesture that can be recruited to resolve referential ambiguity when there is communicative demand to do so. (shrink)

In Coming to Our Senses (1996), I argued for a certain truth-referential theory of meaning and against various other theories, both truth-referential and not.[1] In this paper I shall consider some subsequent developments. I shall start by summarizing my theory. I will then consider some of the latest from direct-reference theorists, particularly from Scott Soames. Finally, I will consider the use theory proposed by Paul Horwich.

The formal semantics that we have proposed for definite and indefinite descriptions analyzes them both as variable-binding operators and as referring terms. It is the referential analysis which makes it possible to account for the facts outlined in Section 2, e.g. for the purely ‘instrumental’ role of the descriptive content; for the appearance of unusually wide scope readings relative to other quantifiers, higher predicates, and island boundaries; for the fact that the island-escaping readings are always equivalent to maximally wide (...) scope quantifiers; and for the appearance of violations of the identity conditions on variables in deleted constituents. We would emphasize that this is not a random collection of observations. They cohere naturally with each other, and with facts about other phrases that are unambigously referential.We conceded at the outset of this paper that the referential use of an indefinite noun phrase does not, by itself, motivate the postulation of a referential interpretation. Our argument has been that the behavior of indefinites in complex sentences cannot be economically described, and certainly cannot be explained, unless a referential interpretation is assumed. It could be accounted for in pragmatic terms only if the whole theory of scope relations and of conditions on deletion could be eliminated from the semantics and incorporated into a purely pragmatic theory. But this seems unlikely. (shrink)

Researchers interested in children's understanding of mind have claimed that the ability to ascribe beliefs and intentions is a late development, occurring well after children have learned to speak and comprehend the speech of others. On the other hand, there are convincing arguments to show that verbal communication requires the ability to attribute beliefs and intentions. Hence if one accepts the findings from research into children's understanding of mind, one should predict that young children will have severe difficulties in verbal (...) communication. Conversely, if this prediction fails, this casts doubt on the claim that young children lack meta-representational skills. Using insights from Relevance Theory, an experiment was designed to test children's ability to recover a speaker's intended referent in situations in which the speaker's words underdetermine the referent. Results suggest that children's skills are comparable to those of untutored adults in similar situations. Thus this study indirectly casts doubt on the claim that young children lack meta-representational skills. (shrink)

Although there is a large literature on referentiality, going back to at least the nineteenth and early twentieth century, much of this early work is based on constructed data and most of it is on English. The chapters in this volume contribute to a growing body of work that examines referentiality through naturalistic data in context. Taking an interactional approach to (non)referentiality, contributors to this volume ask how participants talk in real time about persons and things as individuals or as (...) categories, and what distinguishes 'referential' from 'nonreferential', 'specific' from 'nonspecific', and 'generic' from 'nongeneric'. Crucially, we ask whether these distinctions even matter to participants in conversation, and if they do, what the evidence for that would be. Contributors investigate these issues using data from conversational interaction in a variety of social contexts - from close friends and family to more casual acquaintances, in service encounters, and between adults and children - and in a range of languages: English, Finnish, French, Indonesian, Japanese, and Mandarin. Collectively, the chapters develop insights showing that reference is often fluid, dynamic, and indeterminate, that referential indeterminacy is typically unproblematic for participants, that shifts in referentiality tend to be tied to specific social goals, and that reference and referentiality emerge dialogically and interactionally. (shrink)

Bach fails to give a satisfactory pragmatic account of referential uses of definite descriptions because he does not explain how a description’s quantificational meaning plays a “key role” in those uses. Bach’s criticism that my semantic account does not explain how the hearer understands a description is misguided. Bach’s denial that a pragmatic account is committed to the attributive use being more fundamental detaches meaning from use in an unacceptable way.

Bach fails to give a satisfactory pragmatic account of referential uses of definite descriptions because he does not explain how a description’s quantificational meaning plays a “key role” in those uses. Bach’s criticism that my semantic account does not explain how the hearer understands a description is misguided. Bach’s denial that a pragmatic account is committed to the attributive use being more fundamental detaches meaning from use in an unacceptable way.

Examining the function and style of the references to grammatical literature found in a substantial section of Helārāja’s Prakīrṇaprakāśa on Bhartṛhari’s third book of the Vākyapadīya, the article argues that the likely ideological motive of this commentary was to establish its mūla work firmly within the Brahmanical canon and should therefore be seen in the context of the appropriation of Bhartṛhari’s ideas on the part of the roughly contemporary Pratyabhijñā philosophers of Kashmir. Incidentally, it also touches upon the making of (...) the Pāṇinian tradition and the relation between Helārāja and Kaiyaṭa, the Kashmiri commentator of Mahābhāṣya. (shrink)

NOTE TO THE READER - December, 2021 ●●●●● -/- After a long period of time devoted to research in other areas, the author returned to the subject of this paper in a book-length study, CRITIQUE OF IMPURE REASON: Horizons of Possibility and Meaning. In this book (Chapter 11, “The Metalogic of Meaning”), the position developed in the 1982 paper, "Referential Consistency as a Criterion of Meaning", has been substantively revised and several important corrections made. It is recommended that readers (...) read the revised and corrected version that appears in the book, CRITIQUE OF IMPURE REASON. ●●●●● -/- The book is available in a printed edition, ISBN 978-0-578-88646-6, from online booksellers such as Barnes & Noble, Amazon, and through independent bookstores. The book is also available as a freely downloadable _corrected second edition_ eBook, DOI: 10.5281/zenodo.5458352, through PhilSci, PhilPapers, HAL, and other online archives. ●●●●● -/- In addition to the above-mentioned book, readers may find "A Primer on Bartlett's CRITIQUE OF IMPURE REASON" to be useful as a guide to the nearly 900-page CRITIQUE. The primer is available as a free download through PhilPapers. ●●●●● -/- "Referential Consistency as a Criterion of Meaning" describes a logically compelling criterion of meaning — that is, a necessary condition of meaning, one which is non-arbitrary and compelling. One cannot _not_ accept the proposed criterion without self-referential inconsistency. This “metalogical” variety of self-referential inconsistency is new, opening a third category beyond semantical and pragmatical forms of self-referential inconsistency. ●●●●● -/- It is argued that such a criterion of meaning can serve as an instrument of internal criticism for any theoretical framework that permits reference to a class of objects. The paper combines the concern of the logical empiricists to formulate a rigorous meaning criterion, with the analytical interest in identifying and eliminating self-defeating statements through an analysis of the referential structure of theories. ●●●●● -/- The paper is followed by a list of other publications by the author that further develop and extend the ideas presented here. (shrink)

Even the simplest narratives combine multiple strands of information, integrating different characters and their actions by expressing multiple perspectives of events. We examined the emergence of referential shift devices, which indicate changes among these perspectives, in Nicaraguan Sign Language (NSL). Sign languages, like spoken languages, mark referential shift grammatically with a shift in deictic perspective. In addition, sign languages can mark the shift with a point or a movement of the body to a specified spatial location in the (...) three-dimensional space in front of the signer, capitalizing on the spatial affordances of the manual modality. We asked whether the use of space to mark referential shift emerges early in a new sign language by comparing the first two age cohorts of deaf signers of NSL. Eight first-cohort signers and ten second-cohort signers watched video vignettes and described them in NSL. Narratives were coded for lexical (use of words) and spatial (use of signing space) devices. Although the cohorts did not differ significantly in the number of perspectives represented, second-cohort signers used referential shift devices to explicitly mark a shift in perspective in more of their narratives. Furthermore, while there was no significant difference between cohorts in the use of non-spatial, lexical devices, there was a difference in spatial devices, with second-cohort signers using them in significantly more of their narratives. This suggests that spatial devices have only recently increased as systematic markers of referential shift. Spatial referential shift devices may have emerged more slowly because they depend on the establishment of fundamental spatial conventions in the language. While the modality of sign languages can ultimately engender the syntactic use of three-dimensional space, we propose that a language must first develop systematic spatial distinctions before harnessing space for grammatical functions. (shrink)

People use language to communicate their perceptions and conceptions of the world, and underlying this communication is the linguistic system that interacts with the human perceptual and conceptual machinery. This is supported by research on sentence comprehension among adults. This chapter examines theories of sentence processing in children and adults. It comments on a study John Trueswell et al. in which they demonstrated that five-year-old children appeared to be unable to use contextual cues to resolve ambiguity in sentences such as (...) “Put the frog on the napkin into the box.” Trueswell et al. explained this finding by arguing that children have limited working memory capacity that prevents them from using information from the context to disambiguate linguistic input. The chapter first discusses real-time sentence processing in adults before presenting a developmental account of sentence comprehension. It then considers the so-called Kindergarten-path Effect along with referential scenes, definite reference, and restrictive modifiers. It also looks at the effects of discourse and pragmatics on parsing by children and concludes with a discussion of the development of attention in children. (shrink)

Two experiments were carried out to investigate the role of referential continuity in understanding discourse. In experiment 1, a group of university students listened to stories and descriptive passages presented in three different versions: the original passages, versions in which the sentences occured in a random order, and randomised versions in which referential continuity had been restored primarily by replacing pronouns and other terms with fuller and more appropriate noun phrases. The original stories were remembered better, and rated (...) as more comprehensible, than the random versions, but the restoration of referential continuity ameliorated the effects of randomisation. The descriptive passages had little referential continuity from one sentence to the next, and as expected the effects of randomisation on comprehensibility and memory were negligible. In experiment 2, a group of skilled comprehenders and a group of less skilled comprehenders were selected from a population of 7–8-year-old children. The difference between the groups was known to be largely their inferential ability in reading texts. Both groups read a series of short stories presented in the same three versions as used in the previous experiment. As predicted, the ameliorating effects on memory of restoring referential continuity in a randomised story were confined to the skilled group. The results are discussed in relation to the theories of story grammar, text microstructure, and mental models of discourse. (shrink)

Donnellan has introduced a distinction between two uses of referring terms, the referential and the attributive. A referentially used term is said to pick out that object the speaker has in mind, the one he meant or intended to refer to, while a term used attributively is said to pick out whichever object it names or denotes. While it is generally agreed that Donnellan has discovered a real difference in the way referring terms work, it has by no means (...) been dear how the distinction could or should be handled theoretically. That has two consequences. First, intuitions diverge over difficult or marginal cases and, with no theory to appeal to, the taxonomic part of the enterprise is threatened. Second, the referential/attributive distinction has not become an accepted, relatively uncontroversial tool for solving problems about the semantics of utterances; and this is a least partly because of a lack of theory. But the distinction, so one feels, really is more important than it has thus far shown itself to be. (shrink)

Is there a distinction between referential and attributive uses of definite descriptions? I think most philosophers who approach Donnellan’s distinction from the point of view of the theory of speech acts, those who see reference as a type of speech act, would say that there is no such distinction and that the cases he presents can be accounted for as instances of the general distinction between speaker meaning and sentence meaning: both alleged uses are referential in the sense (...) that they are cases of referring to objects, the only difference is in the degree to which the speaker makes his intentions fully explicit in his utterance. Such objections are in fact quite commonly made, both in the literature and in the oral tradition, but I have never seen a version of the objection I was fully satisfied with and the main aim of this article is to attempt to provide one. (shrink)

In order to uphold the claim that referential intuitions are a reliable source of evidence for theories of reference, Machery et al. conducted an empirical research by testing truth-value judgments. First, we discuss a conceptual limitation of Machery et al. ’s experiment on truth-value judgments. Then, we present the data of an empirical survey that shows that people’s truth-value judgments are not congruent with their use of proper names. We explain why the results of our empirical research refute the (...) conclusions of Machery et al. ’s experiment on truth-value judgments. We conclude that referential intuitions are still problematic. (shrink)

Episodic memory has a distinctive phenomenology. One way to capture what is distinctive about it is by using the notion of mental time travel: When we remember some fact episodically, we mentally travel to the moment at which we experienced it in the past. This way of distinguishing episodic memory from semantic memory calls for an explanation of what the experience of mental time travel is. In this paper, I suggest that a certain view about the content of memories can (...) shed some light on the experience of mental time travel. This is the view that, when a subject remembers some fact episodically, their memory represents itself as coming from a perception of that fact. I propose that the experience of mental time travel in memory is the experience of representing one of the elements in this complex content, namely, the past perceptual experience of the remembered fact. In defence of this proposal, I offer two considerations. Firstly, the proposal is consistent with the idea that memories enjoy a temporal phenomenology (specifically, a feeling of pastness). Secondly, the proposal is consistent with the possibility that some of our other cognitive capacities might yield an experience of mental time travel which can be oriented towards the future. I argue that the received conception of mental time travel is in tension with those two ideas. (shrink)

Kaplan, Stalnaker and Wettstein all urge a two-stage theory of language whereon the propositions expressed by sentences are generated prior to being evaluated. A new ambiguity for sentences emerges, propositional rather syntactic or semantic. Kaplan and Wettstein then propose to explain Donnellan's referential/attributive ambiguity as simply being two-stage propositional ambiguity. This is tacitly seen as further confirmation for two-stage theory. Modal ambiguities are prime motivators for two-stage theory which distinguishes local from exotic evaluation to explain them. But if sentences (...) can be found which exhibit both modal and referential/attribute ambiguity, an apparent paradox arises for a two-stage account. The theory recognizes both singular and general propositions, in Kaplan's senses. But reflecting one sense of such a doubly ambiguous sentence, two-stage theory would seem to need a proposition both singular and general with respect to a definite description attributively used. Since modal operators will come into rendering the problem sentences, an obvious idea is to let scope distinctions rescue two-stage theory from the apparent paradox. But while a rescue based on multiple renderings is proposed, it is not strictly a scope rescue, though different scopes are involved. Readers are asked to trust the author on missing formalities of an intuitively transparent two-sorted modal language that is employed. Two-stage theorists explicitly oppose scope treatments of modal ambiguities seeing them as rivals. Stalnaker, in particular, argues against them. But his arguments are shown not to count against the proposed rescue, on which the anticipated rivalry proves to be minimal. (shrink)

This thesis focuses on expressively rich languages that can formalise talk about probability. These languages have sentences that say something about probabilities of probabilities, but also sentences that say something about the probability of themselves. For example: (π): “The probability of the sentence labelled π is not greater than 1/2.” Such sentences lead to philosophical and technical challenges; but can be useful. For example they bear a close connection to situations where ones confidence in something can affect whether it is (...) the case or not. The motivating interpretation of probability as an agent's degrees of belief will be focused on throughout the thesis. -/- This thesis aims to answer two questions relevant to such frameworks, which correspond to the two parts of the thesis: “How can one develop a formal semantics for this framework?” and “What rational constraints are there on an agent once such expressive frameworks are considered?”. (shrink)

Quine and Davidson employ proxy functions to demonstrate that the use of language (behaviouristically conceived) is compatible with indefinitely many radically different reference relations. They also believe that the use of language (behaviouristically conceived) is all that determines reference. From this they infer that reference is indeterminate, i.e. that there are no facts of the matter as to what singular terms designate and what predicates apply to. Yet referential indeterminacy yields rather dire consequences. One thus does wonder whether one (...) can hold on to a Quine--Davidson stance in semantics-cum-metaphysics and still avoid embracing referential indeterminacy. I argue that one can. Anyone adhering to the behaviouristic account pivotal to the Quine--Davidson stance is bound to acknowledge certain facts about verbal behaviour -- that some utterances are tied to situations, that some utterances are tied to segments in situations, that some predicates have non-contextualised conditions of application, and that use involves causal dependencies. The restrictions from these facts ensure that only reference relations generated by means of rather exceptional proxy functions are compatible with verbal behaviour. I conclude that this allows one to rebuff the Quine--Davidson argument for the indeterminacy of reference, as it were, from within. I moreover tentatively conclude that the line of thought laid out provides good reason for just about anyone to hold that there are facts about reference after all. (shrink)

The Gödel–Artemov framework offered a formalization of the Brouwer–Heyting–Kolmogorov semantics of intuitionistic logic via classical proofs. In this framework, the intuitionistic propositional logic IPC is embedded in the modal logic S4, S4 is realized in the Logic of Proofs LP, and LP has a provability interpretation in Peano Arithmetic. Self-referential LP-formulas of the type ‘t is a proof of a formula ϕ containing t itself’ are permitted in the realization of S4 in LP, and if such formulas are indeed (...) involved, it is then necessary to use fixed-point arithmetical methods to explain intuitionistic logic via provability. The natural question of whether self-referentiality can be avoided in realization of S4 was answered negatively by Kuznets who provided an S4-theorem that cannot be realized without using directly self-referential LP-formulas. This paper studies the question of whether IPC can be embedded in S4 and then realized in LP without using self-referential formulas. We consider a general class of Gödel-style modal embeddings of IPC in S4 and by extending Kuznetsʼ method, show that there are IPC-theorems such that, under each such embedding, are mapped to S4-theorems that cannot be realized in LP without using directly self-referential formulas. Interestingly, all double-negations of tautologies that are not IPC-theorems, like ¬¬, are shown to require direct self-referentiality. Another example is found in IPC→, the purely implicational fragment of IPC. This suggests that the BHK semantics of intuitionistic logic is intrinsically self-referential. (shrink)

This article provides a comprehensive conceptual analysis of information. It begins with a folk notion that information is a tripartite phenomenon: information is something carried by signals about something for some use. This suggests that information has three main aspects: structural, referential, and normative. I analyze the individually necessary and jointly sufficient conditions for defining these aspects of information and consider formal theories relating to each aspect as well. The analysis reveals that structural, referential, and normative aspects of (...) information are hierarchically nested and that the normative depends on the referential, which in turn depends on the structural. (shrink)

Kenneth Waters and Marcel Weber argue that the joint use of distinct gene concepts and the transfer of knowledge between classical and molecular analyses in contemporary scientific practice is possible because classical and molecular concepts of the gene refer to overlapping chromosomal segments and the DNA sequences associated with these segments. However, while pointing in the direction of coreference, both authors also agree that there is a considerable divergence between the actual sequences that count as genes in classical genetics and (...) molecular biology. The thesis advanced in this paper is that the referents of classical and molecular gene concepts are coextensive to a higher degree than admitted by Waters and Weber, and therefore coreference can provide a satisfactory account of the high level of integration between classical genetics and molecular biology. In particular, I argue that the functional units/cistrons identified by classical techniques overlap with functional elements entering the composition of molecular transcription units, and that the precision of this overlap can be improved by conducting further experimentation. (shrink)

There are two sorts of singular terms for which we have difficulty applying Donnellan’s referential/attributive distinction: complex definite descriptions, and proper names. With respect to the uses of such terms in certain contexts we seem to have conflicting intuitions as to whether they should be classified as referential or attributive. The problem concerning how to apply Donnellan’s distinction to the uses of certain complex definite descriptions has never been debated in the literature. On the other hand there have (...) been attempts to extend Donnellan’s distinction to the uses of proper names, the most popular one being due to Kripke. However the argument Kripke gives to this end in his ‘Speaker’s Reference and Semantic Reference’ seems to be inconsistent with the position he takes in Naming and Necessity. I suggest that the reason we seem to have conflicting intuitions with respect to the uses of such terms, is because there is not one but two separate distinctions inherent in Donnellan’s examples; a pragmatic distinction based on the speaker’s intentions in using a term , and an epistemic one based on the notion of having an object in mind. In the light of this, I argue that the issue of whether there are attributive uses of proper names, in the latter sense, relates to the epistemic problem of whether a speaker can have de re attitudes toward an object that he does not have in mind. On this epistemic issue Kripke and Donnellan are on opposite sides as revealed by their debate over the issue of whether there are contingent a priori propositions. (shrink)

The Chinese Mādhyamikas Seng Zhao 374–414, Jizang 549–623, and Zhiyi 538–597 try to demonstrate that the linguistic strategies in the textual transmission of the Buddha’s teaching give us access to a sense of “liberation” which reaches beyond language. For them, this ineffable sense is what constitutes the dharma in the shape of sūtra and śāstra. Liberation is considered the constitutive but hidden “root” of all the teachings transmitted via the canonical word, those again account for the Buddha’s “traces” guiding back (...) to the meaning of that root. The practitioner’s comprehension of the dharma must embrace this circular mutuality of “root and traces,” reconciling speech with silence. The article discusses two philosophical aspects: Chinese Madhyamaka semantics and pragmatics exploring the various signifying functions in our use of language, and the hermeneutical approach that the Chinese masters develop in their exegetical works to unravel such a sense of “liberation” in reference to the textual transmission of Indian Mahāyāna thought. (shrink)

This paper deals with the semantics and meta-semantics for ordinary names in fiction. It has recently been argued by some philosophers that when ordinary names are used in fictional contexts, they change their semantic contents and work as fictional names in general. In this paper, I argue that there is no compelling reason to believe that such reference changes occur and defend the view that whether those names refer to real or fictional objects depends on which semantic intentions speakers have.

In this paper, I argue that contrary to the approach widely taken in the literature, it is possible to retain Russell's theory of definite descriptions and grant some semantic significance to the distinction between the attributive and the referential use. The core of the argumentation is based on recognition of the so-called "roundabout" way in which the use of a definite description may be significant to the semantic features of the sentence: it is a case where the use of (...) a description contributes to the semantics of the sentence by affecting another expression of that sentence. I offer an appropriate example which illustrates the case in question and I demonstrate that the semantic difference between the two uses can be easily captured by Russell's account. (shrink)