Results for 'reference '

956 found
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  1. Singular Reference in Fictional Discourse?Manuel García-Carpintero - 2019 - Disputatio 11 (54):143-177.
    Singular terms used in fictions for fictional characters raise well-known philosophical issues, explored in depth in the literature. But philosophers typically assume that names already in use to refer to “moderatesized specimens of dry goods” cause no special problem when occurring in fictions, behaving there as they ordinarily do in straightforward assertions. In this paper I continue a debate with Stacie Friend, arguing against this for the exceptionalist view that names of real entities in fictional discourse don’t work there as (...)
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  2. Referent tracking and its applications.Werner Ceusters & Barry Smith - 2007 - In Werner Ceusters & Barry Smith (eds.), Proceedings of the Workshop WWW2007 Workshop i3: Identity, Identifiers, Identification (Workshop on Entity-Centric Approaches to Information and Knowledge Management on the Web), Banff, Canada. CEUR.
    Referent tracking (RT) is a new paradigm, based on unique identification, for representing and keeping track of particulars. It was first introduced to support the entry and retrieval of data in electronic health records (EHRs). Its purpose is to avoid the ambiguity that arises when statements in an EHR refer to disorders or other entities on the side of the patient exclusively by means of compound descriptions utilizing general terms such as ‘pimple on nose’ or ‘small left breast tumor’. In (...)
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  3. Self-reference, Phenomenology, and Philosophy of Science.Steven James Bartlett - 1980 - Methodology and Science: Interdisciplinary Journal for the Empirical Study of the Foundations of Science and Their Methodology 13 (3):143-167.
    The paper begins by acknowledging that weakened systematic precision in phenomenology has made its application in philosophy of science obscure and ineffective. The defining aspirations of early transcendental phenomenology are, however, believed to be important ones. A path is therefore explored that attempts to show how certain recent developments in the logic of self-reference fulfill in a clear and more rigorous fashion in the context of philosophy of science certain of the early hopes of phenomenologists. The resulting dual approach (...)
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  4. Direct Reference and Singular Propositions.Matthew Davidson - 2000 - American Philosophical Quarterly 37 (3):285-300.
    Most direct reference theorists about indexicals and proper names have adopted the thesis that singular propositions about physical objects are composed of physical objects and properties.1 There have been a number of recent proponents of such a view, including Scott Soames, Nathan Salmon, John Perry, Howard Wettstein, and David Kaplan.2 Since Kaplan is the individual who is best known for holding such a view, let's call a proposition that is composed of objects and properties a K-proposition. In this paper, (...)
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  5. Are Reference Rules Inessential to Meaning?Kirk Ludwig - 2020 - Metaphysics 3 (1):92-102.
    This article responds to a case-based argument by Mark Richard that rule of reference is not essential to meaning. It objects that the argument requires shifting between understanding the relevant term in the case, ‘marriage,’ as a determinable, in order to support one premise, and a determinate, in order to support another. On no univocal interpretation can both premises be made true.
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  6. References.John Bengson & Marc A. Moffett - 2011 - In John Bengson & Marc A. Moffett (eds.), Knowing How: Essays on Knowledge, Mind, and Action. Oxford, England: Oxford University Press USA. pp. 361-386.
    This compilation of references includes all references for the knowledge-how chapters included in Bengson & Moffett's edited volume. The volume and the compilation of references may serve as a good starting point for people who are unfamiliar with the philosophical literature on knowledge-how.
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  7. Realism, reference & perspective.Carl Hoefer & Genoveva Martí - 2020 - European Journal for Philosophy of Science 10 (3):1-22.
    This paper continues the defense of a version of scientific realism, Tautological Scientific Realism, that rests on the claim that, excluding some areas of fundamental physics about which doubts are entirely justified, many areas of contemporary science cannot be coherently imagined to be false other than via postulation of radically skeptical scenarios, which are not relevant to the realism debate in philosophy of science. In this paper we discuss, specifically, the threats of meaning change and reference failure associated with (...)
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  8. Referent Tracking of Portions of Reality. Docket No. 1097.015A (USPA 2009055437).Werner Ceusters, Shahid Manzoor & Barry Smith - 2008 - In Werner Ceusters, Shahid Manzoor & Barry Smith (eds.), Referent Tracking of Portions of Reality. Docket No. 1097.015A (USPA 2009055437). US Patent Office.
    Management of information is facilitated by unambiguously tracking portions of reality over time. To track the portions of reality, a referent tracking system is used. The referent tracking system is able to communicate with other tracking systems and/or tradition information systems. Errors in the referent tracking system are detected and corrected to maintain actual representations of the portions of reality.
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  9. Multiple reference and vague objects.Giovanni Merlo - 2017 - Synthese 194 (7):2645-2666.
    Kilimanjaro is an example of what some philosophers would call a ‘vague object’: it is only roughly 5895 m tall, its weight is not precise and its boundaries are fuzzy because some particles are neither determinately part of it nor determinately not part of it. It has been suggested that this vagueness arises as a result of semantic indecision: it is because we didn’t make up our mind what the expression “Kilimanjaro” applies to that we can truthfully say such things (...)
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  10. Plural Reference and Reference to a Plurality. Linguistic Facts and Semantic Analyses.Friederike Moltmann - 2016 - In Massimiliano Carrara, Alessandra Arapinis & Friederike Moltmann (eds.), Unity and Plurality. Philosophy, Logic, and Semantics. Oxford, England: Oxford University Press. pp. 93-120.
    This paper defends 'plural reference', the view that definite plurals refer to several individuals at once, and it explores how the view can account for a range of phenomena that have been discussed in the linguistic literature.
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  11. Visual Reference and Iconic Content.Santiago Echeverri - 2017 - Philosophy of Science 84 (4):761-781.
    Evidence from cognitive science supports the claim that humans and other animals see the world as divided into objects. Although this claim is widely accepted, it remains unclear whether the mechanisms of visual reference have representational content or are directly instantiated in the functional architecture. I put forward a version of the former approach that construes object files as icons for objects. This view is consistent with the evidence that motivates the architectural account, can respond to the key arguments (...)
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  12. Fixing Reference by Maximising Knowledge.Atheer Al-Khalfa - forthcoming - Ergo: An Open Access Journal of Philosophy.
    This paper explores the idea inspired by Williamson (2007) that the meaning of a name is the object such that assigning it as referent maximises knowledge. After situating this idea in a charity-based tradition of interpretation and making it more precise, I argue that it suffers from serious problems. I then show why these problems raise a challenge for charity-based frameworks more generally.
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  13. Ramsey, Reference and Reductionism.Huw Price - manuscript
    This is an unpublished piece from July 1998. It discusses the use of semantic notions such as reference in the Canberra Plan, the question whether this use creates a problematic circularity if the Canberra Plan is applied to the semantic notions themselves, and the relation of this question to Putnam’s model-theoretic argument. I used some of the ideas in later papers such as (Price 2004, 2009) and (Menzies & Price, 2009), but the bulk of discussion of the relation of (...)
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  14. Reference and Response.Louis deRosset - 2011 - Australasian Journal of Philosophy 89 (1):19-36.
    A standard view of reference holds that a speaker's use of a name refers to a certain thing in virtue of the speaker's associating a condition with that use that singles the referent out. This view has been criticized by Saul Kripke as empirically inadequate. Recently, however, it has been argued that a version of the standard view, a /response-based theory of reference/, survives the charge of empirical inadequacy by allowing that associated conditions may be largely or even (...)
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  15. Seeing and Visual Reference.Kevin J. Lande - 2021 - Philosophy and Phenomenological Research (2):402-433.
    Perception is a central means by which we come to represent and be aware of particulars in the world. I argue that an adequate account of perception must distinguish between what one perceives and what one's perceptual experience is of or about. Through capacities for visual completion, one can be visually aware of particular parts of a scene that one nevertheless does not see. Seeing corresponds to a basic, but not exhaustive, way in which one can be visually aware of (...)
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  16. Singular Reference Without Singular Thought.Filipe Martone - 2016 - Manuscrito 39 (1):33-60.
    In this paper I challenge the widespread assumption that the conditions for singular reference are more or less the same as the conditions for singular thought. I claim that we refer singularly to things without thinking singularly about them more often than it is usually believed. I first argue that we should take the idea that singular thought is non-descriptive thought very seriously. If we do that, it seems that we cannot be so liberal about what counts as acquaintance; (...)
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  17. (1 other version)Referent Tracking for Command and Control Messaging Systems.Shahid Manzoor, Werner Ceusters & Barry Smith - 2009 - CEUR, Volume 555.
    The Joint Battle Management Language (JBML) is an XML-based language designed to allow Command and Control (C2) systems to interface easily with Modeling and Simulation (M&S) systems. While some of the XML-tags defined in this language correspond to types of entities that exist in reality, others are mere syntactic artifacts used to structure the messages themselves. Because these two kinds of tags are not formally distinguishable, JBML messages in effect confuse data with what the data represent. In this paper we (...)
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  18. Sense, reference, and computation.Bruno Bentzen - 2020 - Perspectiva Filosófica 47 (2):179-203.
    In this paper, I revisit Frege's theory of sense and reference in the constructive setting of the meaning explanations of type theory, extending and sharpening a program–value analysis of sense and reference proposed by Martin-Löf building on previous work of Dummett. I propose a computational identity criterion for senses and argue that it validates what I see as the most plausible interpretation of Frege's equipollence principle for both sentences and singular terms. Before doing so, I examine Frege's implementation (...)
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  19. Reference Magnetism Beyond the Predicate: Two Putnam-Style Results.Rohan Sud - forthcoming - Journal of Philosophy.
    Many accept David Lewis's (1983) claim that, among the candidate meanings for our predicates, some are more natural than others -- they do better or worse at ``carving nature at its joints''. Call this claim predicate naturalism. Disagreement remains over whether the notion of naturalness extends ``beyond the predicate'' (à la Sider, 2011). Are the candidate meanings of logical vocabulary also more or less natural? Call this claim logical naturalism. -/- One motivation for predicate naturalism comes from its supposed ability (...)
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  20. Theories of Reference: What Was the Question?Panu Raatikainen - 2020 - In Andrea Bianchi (ed.), Language and reality from a naturalistic perspective: Themes from Michael Devitt. Cham: Springer. pp. 69–103.
    The new theory of reference has won popularity. However, a number of noted philosophers have also attempted to reply to the critical arguments of Kripke and others, and aimed to vindicate the description theory of reference. Such responses are often based on ingenious novel kinds of descriptions, such as rigidified descriptions, causal descriptions, and metalinguistic descriptions. This prolonged debate raises the doubt whether different parties really have any shared understanding of what the central question of the philosophical theory (...)
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  21. Reference in Fiction.Stacie Friend - 2019 - Disputatio 11 (54):179-206.
    Most discussions of proper names in fiction concern the names of fictional characters, such as ‘Clarissa Dalloway’ or ‘Lilliput.’ Less attention has been paid to referring names in fiction, such as ‘Napoleon’ (in Tolstoy’s War and Peace) or ‘London’ (in Orwell’s Nineteen Eighty-Four). This is because many philosophers simply assume that such names are unproblematic; they refer in the usual way to their ordinary referents. The alternative position, dubbed Exceptionalism by Manuel García-Carpintero, maintains that referring names make a distinctive semantic (...)
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  22. Referring to the Qualitative Dimension of Consciousness: Iconicity instead of Indexicality.Marc Champagne - 2014 - Dialogue 53 (1):135-182.
    This paper suggests that reference to phenomenal qualities is best understood as involving iconicity, that is, a passage from sign-vehicle to object that exploits a similarity between the two. This contrasts with a version of the ‘phenomenal concept strategy’ that takes indexicality to be central. However, since it is doubtful that phenomenal qualities are capable of causally interacting with anything, indexical reference seems inappropriate. While a theorist like David Papineau is independently coming to something akin to iconicity, I (...)
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  23. Reference fiction, and omission.Samuel Murray - 2018 - Synthese 195 (1):235-257.
    In this paper, I argue that sentences that contain ‘omission’ tokens that appear to function as singular terms are meaningful while maintaining the view that omissions are nothing at all or mere absences. I take omissions to be fictional entities and claim that the way in which sentences about fictional characters are true parallels the way in which sentences about omissions are true. I develop a pragmatic account of fictional reference and argue that my fictionalist account of omissions implies (...)
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  24. Referent tracking for corporate memories.Werner Ceusters & Barry Smith - 2007 - In Peter Rittgen (ed.), Handbook of Ontologies for Business Interaction. Idea Group Publishing. pp. 34-46.
    For corporate memory and enterprise ontology systems to be maximally useful, they must be freed from certain barriers placed around them by traditional knowledge management paradigms. This means, above all, that they must mirror more faithfully those portions of reality which are salient to the workings of the enterprise, including the changes that occur with the passage of time. The purpose of this chapter is to demonstrate how theories based on philosophical realism can contribute to this objective. We discuss how (...)
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  25. Reference to numbers in natural language.Friederike Moltmann - 2013 - Philosophical Studies 162 (3):499 - 536.
    A common view is that natural language treats numbers as abstract objects, with expressions like the number of planets, eight, as well as the number eight acting as referential terms referring to numbers. In this paper I will argue that this view about reference to numbers in natural language is fundamentally mistaken. A more thorough look at natural language reveals a very different view of the ontological status of natural numbers. On this view, numbers are not primarily treated abstract (...)
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  26. Attitudes Towards Reference and Replaceability.Christopher Grau & Cynthia L. S. Pury - 2014 - Review of Philosophy and Psychology 5 (2):155-168.
    Robert Kraut has proposed an analogy between valuing a loved one as irreplaceable and the sort of “rigid” attachment that (according to Saul Kripke’s account) occurs with the reference of proper names. We wanted to see if individuals with Kripkean intuitions were indeed more likely to value loved ones (and other persons and things) as irreplaceable. In this empirical study, 162 participants completed an online questionnaire asking them to consider how appropriate it would be to feel the same way (...)
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  27. Normative Reference as a Normative Question.Camil Golub - forthcoming - Erkenntnis:1-22.
    Normative naturalism holds that normative properties are identical with, or reducible to, natural properties. Various challenges to naturalism focus on whether it can make good on the idea that normative concepts can be used in systematically different ways and yet have the same reference in all contexts of use. In response to such challenges, some naturalists have proposed that questions about the reference of normative terms should be understood, at least in part, as normative questions that can be (...)
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  28. Repetition and reference.Andrea Bianchi - 2015 - In On reference. Oxford, GB: Oxford University Press UK. pp. 93-107.
    In the second lecture of "Naming and Necessity," Saul Kripke presented a new and quite convincing picture of the reference of proper names. At the same time, however, he expressed some skepticism towards the possibility of developing it into a full-blown theory by offering “more exact conditions for reference to take place.” In this paper, after discussing the reasons for his skepticism, I hint at how I think Kripke’s picture could be developed and offer an outline of a (...)
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  29. Tracking Referents in Electronic Health Records.Werner Ceusters & Barry Smith - 2005 - Studies in Health Technology and Informatics 116:71–76.
    Electronic Health Records (EHRs) are organized around two kinds of statements: those reporting observations made, and those reporting acts performed. In neither case does the record involve any direct reference to what such statements are actually about. They record not: what is happening on the side of the patient, but rather: what is said about what is happening. While the need for a unique patient identifier is generally recognized, we argue that we should now move to an EHR regime (...)
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  30. How Self-Reference Builds the World (Part 2).Cosmin Visan - 2023 - Journal of Consciousness Exploration & Research 14 (6):460-478.
    If you were to build a world from Nothing, how would you do it? By investigating the nature of self-reference, we will show how this can be achieved, how starting from Nothing, Everything can be obtained. Various implications of the definition of self-reference will be investigated, showing how it can account for various aspects of the phenomenology of consciousness, thus showing how starting from only 1 principle, a world of infinite complexity can be obtained. Parallels with set theory (...)
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  31. Normative Reference Magnets.J. Robert G. Williams - 2018 - Philosophical Review 127 (1):41-71.
    The concept of moral wrongness, many think, has a distinctive kind of referential stability, brought out by moral twin earth cases. This article offers a new account of the source of this stability, deriving it from a metaphysics of content: “substantive” radical interpretation, and first-order normative assumptions. This story is distinguished from extant “reference magnetic” explanations of the phenomenon, and objections and replies are considered.
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  32. Sense, reference and substitution.Jeremy Goodman & Harvey Lederman - 2020 - Philosophical Studies 177 (4):947-952.
    We show that, contrary to conventional wisdom, Frege’s distinction between sense and reference does not reconcile a classical logic of identity with apparent counterexamples to it involving proper names embedded under propositional attitude verbs.
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  33. Reference in remembering: towards a simulationist account.James Openshaw & Kourken Michaelian - 2024 - Synthese 203 (3):1-32.
    Recent theories of remembering and of reference (or singular thought) have de-emphasised the role causation was thought to play in mid- to late-twentieth century theorising. According to postcausal theories of remembering, such as simulationism, instances of the psychofunctional kind _remembering_ are not, in principle, dependent on appropriate causal chains running from some event(s) remembered to the occurrence of remembering. Instead they depend only on the reliability, or proper functioning, of the cognitive system responsible for their production. According to broadly (...)
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  34. Critical Notice of 'On Reference' by Andrea Bianchi (ed.).Lukas Skiba - 2018 - Analysis 78 (1):160-171.
    ‘On Reference’ is a collection of 18 original articles. While united in their concern with reference, they deal with a large variety of topics, ranging from questions concerning the nature of reference, through the interaction of reference and cognition, to more specific questions about the semantics of particular referring expressions. The contributions are of high quality: thought provoking, insightful and engagingly written. Many have the potential to substantially advance the debate in their field. In this critical (...)
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  35. Self-reference and Chaos in Fuzzy Logic.Patrick Grim - 1993 - IEEE Transactions on Fuzzy Systems 1:237-253.
    The purpose of this paper is to open for investigation a range of phenomena familiar from dynamical systems or chaos theory which appear in a simple fuzzy logic with the introduction of self-reference. Within that logic, self-referential sentences exhibit properties of fixed point attractors, fixed point repellers, and full chaos on the [0, 1] interval. Strange attractors and fractals appear in two dimensions in the graphing of pairs of mutually referential sentences and appear in three dimensions in the graphing (...)
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  36. Reference, Truth, and Biological Kinds.Marcel Weber - 2014 - In: J. Dutant, D. Fassio and A. Meylan (Eds.) Liber Amicorum Pascal Engel.
    This paper examines causal theories of reference with respect to how plausible an account they give of non-physical natural kind terms such as ‘gene’ as well as of the truth of the associated theoretical claims. I first show that reference fixism for ‘gene’ fails. By this, I mean the claim that the reference of ‘gene’ was stable over longer historical periods, for example, since the classical period of transmission genetics. Second, I show that the theory of partial (...)
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  37. Can reference be naturalized? -Notes toward an integrational(誠) causality.Daihyun Chung - 2016 - Philosophy Study 6 (5):289-304.
    As physicalisms of various kinds have faced difficulties in recent years, the time has come to explore possible alternatives, one of which is yinyang ontology. A yinyang theorist is expected to provide a plausible account of causation to replace the traditional notion of causation. The present paper is critical of the Humean tradition, which understands the relata of causal relations in terms of passive materiality so that humans use referential terms to describe causal relations constructively. But an alternative notion of (...)
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  38. Strategies for Referent Tracking in Electronic Health Records.Werner Ceusters & Barry Smith - 2006 - Journal of Biomedical Informatics 39 (3):362-378.
    The goal of referent tracking is to create an ever-growing pool of data relating to the entities existing in concrete spatiotemporal reality. In the context of Electronic Healthcare Records (EHRs) the relevant concrete entities are not only particular patients but also their parts, diseases, therapies, lesions, and so forth, insofar as these are salient to diagnosis and treatment. Within a referent tracking system, all such entities are referred to directly and explicitly, something which cannot be achieved when familiar concept-based systems (...)
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  39. Vague Reference and Approximating Judgements.Thomas Bittner & Barry Smith - 2003 - Spatial Cognition and Computation 3 (2):137–156.
    We propose a new account of vagueness and approximation in terms of the theory of granular partitions. We distinguish different kinds of crisp and non-crisp granular partitions and we describe the relations between them, concentrating especially on spatial examples. We describe the practice whereby subjects use regular grid-like reference partitions as a means for tempering the vagueness of their judgments, and we demonstrate how the theory of reference partitions can yield a natural account of this practice, which is (...)
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  40. Referring to the World, by Kenneth A. Taylor.Rachel Goodman - forthcoming - Mind.
    The foreword to Ken Taylor’s, Referring to the World, contains the text of a Facebook post from the day he completed a draft of the book—also the day of his death. Taylor writes that the book began its life ‘years and years and years ago’ as a short, opinionated introduction to the theory of reference, but became more an introduction to his own views than anything else. He also wrote: -/- The opinions and the supporting arguments have been developed (...)
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  41. Inostensible Reference and Conceptual Curiosity.Ilhan Inan - 2010 - Croatian Journal of Philosophy 10 (1):21-41.
    A lot has been said about how the notion of reference relates to the notion of knowledge; not much has been said, however, on how the notion of referencerelates to our ability to become aware of what we do not know that allows us to be curious. In this essay I attempt to spell out a certain type of reference I call ‘inostensible’ that I claim to be a fundamental linguistic tool which allows us to become curious of (...)
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  42. Reference and Modality: A Theory of Intensions.Alik Pelman - 2007 - Dissertation, University of London, Ucl
    The study of reference often leads to addressing fundamental issues in semantics, metaphysics and epistemology; this suggests that reference is closely linked to the three realms. The overall purpose of this study is to elucidate the structure of some of these links, through a close examination of the “mechanism” of reference. As in many other enquiries, considering the possible (i.e., the modal,) in addition to the actual proves very helpful in clarifying and explicating insights. The reference (...)
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  43. Reference, Predication, Judgment and their Relations.Indrek Reiland - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Over the course of the past ten-plus years, Peter Hanks and Scott Soames have developed detailed versions of Act-Based views of propositions which operate with the notions of reference to objects, indicating properties, predication, and judgment (or entertaining). In this paper I discuss certain foundational aspects of the Act-Based approach having to do with the relations between these notions. In particular, I argue for the following three points. First, that the approach needs both an atomistically understood thin notion of (...)
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  44. Arbitrary reference, numbers, and propositions.Michele Palmira - 2018 - European Journal of Philosophy 26 (3):1069-1085.
    Reductionist realist accounts of certain entities, such as the natural numbers and propositions, have been taken to be fatally undermined by what we may call the problem of arbitrary identification. The problem is that there are multiple and equally adequate reductions of the natural numbers to sets (see Benacerraf, 1965), as well as of propositions to unstructured or structured entities (see, e.g., Bealer, 1998; King, Soames, & Speaks, 2014; Melia, 1992). This paper sets out to solve the problem by canvassing (...)
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  45. A presuppositional account of reference fixing.Manuel García-Carpintero - 2000 - Journal of Philosophy 97 (3):109-147.
    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.
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  46. Introduction – Open problems on reference.Andrea Bianchi - 2015 - In On reference. Oxford, GB: Oxford University Press UK. pp. 1-18.
    After briefly introducing the topic of reference, which has a long tradition but did not become a major issue until the last century, when language started to occupy center-stage in philosophy, and after mentioning some of the open problems that the semantic revolution promoted by Saul Kripke and others in the late 1960s and early 1970s left us, which are dealt with in the volume, I offer a preview of the papers collected in the latter, explaining how the volume (...)
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  47. Plural Reference and Syntactic Three-Dimensionality (book proposal, under contract).Friederike Moltmann - forthcoming - Oxford University Press.
    The book argues for Plural Reference for the semantics of natural language and makes the connection between Plural Reference and Alternative Semantics for the purpose of the interpretation of three-dimensional syntactic structures of coordinate sentences (in the sense of my 1992 MIT Ph D thesis).
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  48. Questions of Reference and the Reflexivity of First-Person Thought.Michele Palmira - 2022 - Journal of Philosophy 119 (11):628-640.
    Tradition has it that first-person thought is somehow special. It is also commonplace to maintain that the first-person concept obeys a rule of reference to the effect that any token first-person thought is about the thinker of that thought. Following Annalisa Coliva and, more recently, Santiago Echeverri, I take the specialness claim to be the claim that thinking a first-person thought comes with a certain guarantee of its pattern of reference. Echeverri maintains that such a guarantee is explained (...)
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  49. An inconsistency in direct reference theory.George Bealer - 2004 - Journal of Philosophy 101 (11):574 - 593.
    Direct reference theory faces serious prima facie counterexamples which must be explained away (e.g., that it is possible to know a priori that Hesperus = Phosphorus). This is done by means of various forms of pragmatic explanation. But when those explanations that provisionally succeed are generalized to deal with analogous prima facie counterexamples concerning the identity of propositions, a fatal dilemma results. Either identity must be treated as a four-place relation (contradicting what just about everyone, including direct reference (...)
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  50. Self-reference and the languages of arithmetic.Richard Heck - 2007 - Philosophia Mathematica 15 (1):1-29.
    I here investigate the sense in which diagonalization allows one to construct sentences that are self-referential. Truly self-referential sentences cannot be constructed in the standard language of arithmetic: There is a simple theory of truth that is intuitively inconsistent but is consistent with Peano arithmetic, as standardly formulated. True self-reference is possible only if we expand the language to include function-symbols for all primitive recursive functions. This language is therefore the natural setting for investigations of self-reference.
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