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Talking about nothing: numbers, hallucinations, and fictions

New York: Oxford University Press (2010)

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  1. An empirically feasible approach to the epistemology of arithmetic.Markus Pantsar - 2014 - Synthese 191 (17):4201-4229.
    Recent years have seen an explosion of empirical data concerning arithmetical cognition. In this paper that data is taken to be philosophically important and an outline for an empirically feasible epistemological theory of arithmetic is presented. The epistemological theory is based on the empirically well-supported hypothesis that our arithmetical ability is built on a protoarithmetical ability to categorize observations in terms of quantities that we have already as infants and share with many nonhuman animals. It is argued here that arithmetical (...)
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  • Hobnobbing with the Nonexistent.Jody Azzouni - 2013 - Inquiry: An Interdisciplinary Journal of Philosophy 56 (4):340-358.
    Recent discussions of Geach sentences by Braun and Salmon are reprised. It is shown that the intractability of providing semantics for Geach sentences (using standard logical tools) is due to the assumption that quantifiers are ontologically committing. Representing the content of these statements is easy using neutral quantifiers. An important concern is consistent identity conditions for nonreferring terms. It may be thought that Meinongian-object approaches handle this better than Azzouni's no-objects-in-any-sense-at-all approach. This is shown to be false. How our truth-inducing (...)
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  • Exemplification and Parthood.Peter Forrest - 2013 - Axiomathes 23 (2):323-341.
    Consider the things that exist—the entities—and let us suppose they are mereologically structured, that is, some are parts of others. The project of ontology within the bounds of bare mereology use this structure to say which of these entities belong to various ontological kinds, such as properties and particulars. My purpose in this paper is to defend the most radical section of the project, the mereological theory of the exemplification of universals. Along the way I help myself to several hypotheses: (...)
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  • What is the Problem of Non-Existence?Tim Crane - 2012 - Philosophia 40 (3):417-434.
    It is widely held that there is a problem of talking about or otherwise representing things that not exist. But what exactly is this problem? This paper presents a formulation of the problem in terms of the conflict between the fact that there are truths about non-existent things and the fact that truths must be answerable to reality, how things are. Given this, the problem of singular negative existential statements is no longer the central or most difficult aspect of the (...)
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  • Existence Predicates.Friederike Moltmann - 2020 - Synthese 197 (1):311-335.
    Natural languages generally distinguishes among different existence predicates for different types of entities, such as English 'exist', 'occur', and 'obtain'. The paper gives an in-depth discussion and analysis of a range of existence predicates in natural language within the general project of descriptive metaphysics, or more specifically ‘natural language ontology’.
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  • Ontic terms and metaontology, or: on what there actually is.T. Parent - 2014 - Philosophical Studies 170 (2):199-214.
    Terms such as ‘exist’, ‘actual’, etc., (hereafter, “ontic terms”) are recognized as having uses that are not ontologically committing, in addition to the usual commissive uses. (Consider, e.g., the Platonic and the neutral readings of ‘There is an even prime’.) In this paper, I identify five different noncommissive uses for ontic terms, and (by a kind of via negativa) attempt to define the commissive use, focusing on ‘actual’ as my example. The problem, however, is that the resulting definiens for the (...)
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  • Existence Is Not Relativistically Invariant—Part 1: Meta-ontology.Florian Marion - 2024 - Acta Analytica 39 (3):479-503.
    Metaphysicians who are aware of modern physics usually follow Putnam (1967) in arguing that Special Theory of Relativity is incompatible with the view that what exists is only what exists now or presently. Partisans of presentism (the motto ‘only present things exist’) had very difficult times since, and no presentist theory of time seems to have been able to satisfactorily counter the objection raised from Special Relativity. One of the strategies offered to the presentist consists in relativizing existence to inertial (...)
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  • A Counterexample to Deflationary Nominalism.Nicholas Danne - 2023 - Erkenntnis 88 (4):1721-1740.
    According to Jody Azzouni’s “deflationary nominalism,” the singular terms of mathematical language applied or unapplied to science refer to nothing at all. What does exist, Azzouni claims, must satisfy the quaternary condition he calls “thick epistemic access” (TEA). In this paper I argue that TEA surreptitiously reifies some mathematical entities. The mathematical entity that I take TEA to reify is the Fourier harmonic, an infinite-duration monochromatic sinusoid applied throughout engineering and physics. I defend the reality of the harmonic, in Azzouni’s (...)
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  • Methodology in the ontology of artworks: exploring hermeneutic fictionalism.Elisa Caldarola - 2020 - In Concha Martinez Vidal & José Luis Falguera Lopez (ed.), Abstract Objects: For and Against.
    There is growing debate about what is the correct methodology for research in the ontology of artworks. In the first part of this essay, I introduce my view: I argue that semantic descriptivism is a semantic approach that has an impact on meta-ontological views and can be linked with a hermeneutic fictionalist proposal on the meta-ontology of artworks such as works of music. In the second part, I offer a synthetic presentation of the four main positive meta-ontological views that have (...)
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  • A pluralistic theory of wordhood.Luca Gasparri - 2020 - Mind and Language 36 (4):592-609.
    What are words and how should we individuate them? There are two main answers on the philosophical market. For some, words are bundles of structural-functional features defining a unique performance profile. For others, words are non-eternal continuants individuated by their causal-historical ancestry. These conceptions offer competing views of the nature of words, and it seems natural to assume that at most one of them can capture the essence of wordhood. This paper makes a case for pluralism about wordhood: the view (...)
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  • A New Puzzle for Phenomenal Intentionality.Peter Clutton & Alexander Sandgren - 2019 - Ergo: An Open Access Journal of Philosophy 6.
    Phenomenal intentionality theories have recently enjoyed significant attention. According to these theories, the intentionality of a mental representation (what it is about) crucially depends on its phenomenal features. We present a new puzzle for these theories, involving a phenomenon called ‘intentional identity’, or ‘co-intentionality’. Co-intentionality is a ubiquitous intentional phenomenon that involves tracking things even when there is no concrete thing being tracked. We suggest that phenomenal intentionality theories need to either develop new uniquely phenomenal resources for handling the puzzle, (...)
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  • The copredication argument.John Collins - 2017 - Inquiry: An Interdisciplinary Journal of Philosophy 60 (7):675-702.
    The standard view of truth-conditional semantics is that it is world-involving in the sense that a theory that specifies truth conditions eo ipso is a theory that specifies the way the world must be if the target sentences are to be true. It would appear to follow that the semantic properties of expressions, such as nominals, specify the very worldly objects that make true or false the sentences that host the nominals. Chomsky and others have raised a fundamental complaint against (...)
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  • Pathological Pretending.Jody Azzouni - 2018 - Analysis 78 (4):692-703.
    Bradley Armour-Garb and James A. Woodbridge, in Pretense and Pathology, make an ambitious and far-ranging case that philosophical fictionalism (particularly the pretence variety that they favour) illuminates several long-standing philosophical puzzles posed by words in ordinary language, such as ‘exist’, ‘true’ and ‘means that’, as well as the more technical, ‘refers to’, ‘proposition’ and ‘satisfies’. Along the way, Armour-Garb and Woodbridge discuss topics in the philosophy of language, philosophical logic, ontology, epistemology and more. An important aspect of their project is (...)
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  • Deflationary Nominalism and Puzzle Avoidance.David Mark Kovacs - 2019 - Philosophia Mathematica 27 (1):88-104.
    In a series of works, Jody Azzouni has defended deflationary nominalism, the view that certain sentences quantifying over mathematical objects are literally true, although such objects do not exist. One alleged attraction of this view is that it avoids various philosophical puzzles about mathematical objects. I argue that this thought is misguided. I first develop an ontologically neutral counterpart of Field’s reliability challenge and argue that deflationary nominalism offers no distinctive answer to it. I then show how this reasoning generalizes (...)
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  • Indispensability, causation and explanation.Sorin Bangu - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):219-232.
    When considering mathematical realism, some scientific realists reject it, and express sympathy for the opposite view, mathematical nominalism; moreover, many justify this option by invoking the causal inertness of mathematical objects. The main aim of this note is to show that the scientific realists’ endorsement of this causal mathematical nominalism is in tension with another position some of them also accept, the doctrine of methodological naturalism. By highlighting this conflict, I intend to tip the balance in favor of a rival (...)
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  • (1 other version)Towards a theory of singular thought about abstract mathematical objects.James E. Davies - 2019 - Synthese 196 (10):4113-4136.
    This essay uses a mental files theory of singular thought—a theory saying that singular thought about and reference to a particular object requires possession of a mental store of information taken to be about that object—to explain how we could have such thoughts about abstract mathematical objects. After showing why we should want an explanation of this I argue that none of three main contemporary mental files theories of singular thought—acquaintance theory, semantic instrumentalism, and semantic cognitivism—can give it. I argue (...)
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  • Existence, Mathematical Nominalism, and Meta-Ontology: An Objection to Azzouni on Criteria for Existence.Farbod Akhlaghi-Ghaffarokh - 2018 - Philosophia Mathematica 26 (2):251-265.
    Jody Azzouni argues that whilst it is indeterminate what the criteria for existence are, there is a criterion that has been collectively adopted to use ‘exist’ that we can employ to argue for positions in ontology. I raise and defend a novel objection to Azzouni: his view has the counterintuitive consequence that the facts regarding what exists can and will change when users of the word ‘exist’ change what criteria they associate with its usage. Considering three responses, I argue Azzouni (...)
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  • From one to many: recent work on truth.Jeremy Wyatt & Michael Lynch - 2016 - American Philosophical Quarterly 53 (4):323-340.
    In this paper, we offer a brief, critical survey of contemporary work on truth. We begin by reflecting on the distinction between substantivist and deflationary truth theories. We then turn to three new kinds of truth theory—Kevin Scharp's replacement theory, John MacFarlane's relativism, and the alethic pluralism pioneered by Michael Lynch and Crispin Wright. We argue that despite their considerable differences, these theories exhibit a common "pluralizing tendency" with respect to truth. In the final section, we look at the underinvestigated (...)
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  • Fictionalism and Mathematical Objectivity.Iulian D. Toader - 2012 - In Mircea Dumitru, Mircea Flonta & Valentin Muresan (eds.), Metaphysics and Science. Dedicated to professor Ilie Pârvu. Universty of Bucharest Press. pp. 137-158.
    This paper, written in Romanian, compares fictionalism, nominalism, and neo-Meinongianism as responses to the problem of objectivity in mathematics, and then motivates a fictionalist view of objectivity as invariance.
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  • Identity in Fiction.Richard Woodward - 2017 - Philosophy and Phenomenological Research 94 (3):646-671.
    Anthony Everett () argues that those who embrace the reality of fictional entities run into trouble when it comes to specifying criteria of character identity. More specifically, he argues that realists must reject natural principles governing the identity and distinctness of fictional characters due to the existence of fictions which leave it indeterminate whether certain characters are identical and the existence of fictions which say inconsistent things about the identities of their characters. Everett's critique has deservedly drawn much attention and (...)
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  • Why deflationary nominalists shouldn’t be agnostics.Jody Azzouni - 2015 - Philosophical Studies 172 (5):1143-1161.
    A feature of agnostic views—views that officially express ignorance about the existence of something —is that they are widely perceived to be epistemically more cautious than views that are committed to the entities in question. This is often seen as giving agnostics a debating advantage: all things being equal, fence-sitters have smaller argumentative burdens. Otávio Bueno argues in this way for what he calls “agnostic nominalism,” the view that we don’t know whether ontologically-independent Platonic objects exist. I show that agnostic (...)
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  • Explicating Eternalism A Study in Metaontology.Thorben Petersen - 2012 - Philosophia Naturalis 49 (1):137-161.
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  • (1 other version)Disjunctivism Unmotivated.Gordon Knight - 2013 - Phenomenology and the Cognitive Sciences (2):1-18.
    Many naive realists endorse a negative disjunctivist strategy in order to deal with the challenge presented by the possibility of phenomenologically indistinguishable halucination. In the first part of this paper I argue that this approach is methodologically inconsistent because it undercuts the phenomenological motivation that underlies the the appeal of naive realism. In the second part of the paper I develop an alternative to the negative disjunctivist account along broadly Meinongian lines. In the last section of this paper I consider (...)
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  • (1 other version)Extended Modal Realism — A New Solution to Problems Related to Non-existence.Andrew Thomas - 2021 - Dissertation, Durham University
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  • Phonetic Segments and the Organization of Speech.Luca Gasparri - 2019 - Philosophy of Science 86 (2):304-324.
    According to mainstream linguistic phonetics, speech can be modeled as a string of discrete sound segments or “phones” drawn from a universal phonetic inventory. Recent work has argued that a mature phonetics should refrain from theorizing about speech and speech processing using sound segments, and that the phone concept should be eliminated from linguistic theory. The paper lays out the tenets of the phone methodology and evaluates its prospects in light of the eliminativist arguments. I claim that the eliminativist arguments (...)
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  • Talking about Something (But Really Talking about Nothing). [REVIEW]Nikk Effingham - 2012 - Analysis 72 (2):329-340.
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  • (2 other versions)Singular Thoughts (Objects-Directed Thoughts).Jody Azzouni - 2011 - Aristotelian Society Supplementary Volume 85 (1):45-61.
    Tim Crane (2011) characterizes the cognitive role of singular thought via singular mental files: the application of such files to more than one object is senseless. As many do, he thus stresses the contrast between ‘singular’ and ‘general’. I give a counterexample, plurally-directed singular thought, and I offer alternative characterizations of singular thought—better described as ‘objects-directed thought’—initially in terms of the defeasibility of the descriptions associated with one's thinking of an object, and then more broadly in terms of whether descriptions (...)
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  • The non-existence of institutional facts.Friedrich Christoph Dörge & Matthias Holweger - 2021 - Synthese 199: 4953–4974.
    That certain paper bills have monetary value, that Vladimir Putin is the president of Russia, and that Prince Philip is the husband of Queen Elizabeth II: such facts are commonly called ‘institutional facts’. IFF are, by definition, facts that exist by virtue of collective recognition. The standard view or tacit belief is that such facts really exist. In this paper we argue, however, that they really do not—they really are just well-established illusions. We confront realism about IFF with six criteria (...)
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  • Vague fictional objects.Elisa Paganini - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (2):158-184.
    ABSTRACTI propose a different account of fictional objects from the ones already present in the literature. According to my account, fictional objects are culturally created abstract objects dependent for their existence on the pretence attitude adopted by a group of people towards a single fictional content. My work is divided into three parts: in the first one, I present how fictional objects come into existence according to my proposal; in the second part, I illustrate how the existence of fictional objects (...)
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  • Co‐Identification and Fictional Names.Manuel García-Carpintero - 2020 - Philosophy and Phenomenological Research 101 (1):3-34.
    Philosophy and Phenomenological Research, EarlyView.
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  • On Crane’s Psychologistic Account of Intentionality.Mohammad Saleh Zarepour - 2018 - Acta Analytica 33 (4):453-462.
    The intuition that we can think about non-existent objects seems to be in tension with philosophical concerns about the relationality of intentionality. Tim Crane’s psychologism removes this tension by proposing a psychologistic account of intentionality according to which intentionality is a purely non-relational notion. I argue that his account has counterintuitive consequences regarding our thoughts about existing objects, and as such is insufficiently plausible to convince us to reject the relationality of intentionality.
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  • Intentional Identity and Coordination.Hsiang-Yun Chen - 2017 - Studia Semiotyczne 31 (2):35-51.
    The concept of intentional identity has aroused considerable interests since Geach. I argue, however, that the real import of intentional identity is still not duly appreciated. Drawing on three sets of close-knit data – intersubjective and intrasubjective intentional identity, along with cross-speaker anaphora, I submit coordination as the key to its proper understanding and propose a set of success conditions thereof.
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  • The Diversity of Fiction and Copredication: An Accommodation Problem.John Collins - 2019 - Erkenntnis 86 (5):1197-1223.
    The paper presents an accommodation problem for extant semantic accounts of fiction. Some accounts of fiction are designed to accommodate one or another form of fictive statement exclusively, what I shall call in-fiction and out-fiction. Thus, typically, the accounts fail to do justice to their respective excluded form. A natural response, entertained by Kripke and in a different fashion by latter-day Meinongians, is to let the two different kinds of fiction have their respective accounts. It is very easy, however, to (...)
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  • Replies for Book Symposium on Pretense and Pathology: Philosophical Fictionalism and its Applications.Bradley Armour-Garb & James A. Woodbridge - 2018 - Analysis 78 (4):718-736.
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  • A new characterization of scientific theories.Jody Azzouni - 2014 - Synthese 191 (13):2993-3008.
    First, I discuss the older “theory-centered” and the more recent semantic conception of scientific theories. I argue that these two perspectives are nothing more than terminological variants of one another. I then offer a new theory-centered view of scientific theories. I argue that this new view captures the insights had by each of these earlier views, that it’s closer to how scientists think about their own theories, and that it better accommodates the phenomenon of inconsistent scientific theories.
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  • Pushing the Boundaries of Pretence.Frederick Kroon - 2018 - Analysis 78 (4):703-712.
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  • The challenge of many logics: a new approach to evaluating the role of ideology in Quinean commitment.Jody Azzouni - 2019 - Synthese 196 (7):2599-2619.
    Can Quine’s criterion for ontological commitment be comparatively applied across different logics? If so, how? Cross-logical evaluations of discourses are central to contemporary philosophy of mathematics and metaphysics. The focus here is on the influential and important arguments of George Boolos and David Lewis that second-order logic and plural quantification don’t incur additional ontological commitments over and above those incurred by first-order quantifiers. These arguments are challenged by the exhibition of a technical tool—the truncation-model construction of notational equivalents—that compares the (...)
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  • Mind and Object. An Essay on Intentionality.Patrik Engisch - 2017 - Dissertation, Université de Fribourg
    Provides a certain conception of the target of a theory of intentionality in terms of five properties (aboutness, non-existence, aspectuality, generality, and semantic normativity) and provides a guided tour of how different styles of theories of intentionality can meet up these requirements.
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  • New Thinking about Propositions. [REVIEW]John Collins - 2015 - Philosophical Quarterly 65 (261):842-845.
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  • Sainsbury on Thinking about Fictional Things.Anthony Everett - 2014 - Acta Analytica 29 (2):181-194.
    In a number of places Mark Sainsbury has recently developed an attractive irrealist account of fiction and intentionality, on which there are no fictional objects or exotic intentional entities. A central component of his account is an ambitious argument, which aims to establish that the truth of intensional transitives such as “I think about Holmes” and “Alexander feared Zeus” does not require the existence of fictional or intentional objects. It would be good news indeed for the irrealist if Sainsbury’s argument (...)
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  • Operators Solve the Many Categories Problem with Universals.Peter Forrest - 2018 - International Journal of Philosophical Studies 26 (5):747-762.
    ABSTRACTBy the Many Categories problem, I mean the prima facie violation of Ockham’s Razor by realists about universals: there is, it might seem, just too much variety. Thus, David Armstrong posits both properties and relations. He also theorises about determinates of determinables. Another influential realist, E. J. Lowe distinguishes non-substantial from substantial universals. Yet again, both Armstrong and Lowe include in their ontology abstract particulars in addition to universals. My aim in this paper is to offer a unification of these (...)
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  • An anti-realist account of the application of mathematics.Otávio Bueno - 2016 - Philosophical Studies 173 (10):2591-2604.
    Mathematical concepts play at least three roles in the application of mathematics: an inferential role, a representational role, and an expressive role. In this paper, I argue that, despite what has often been alleged, platonists do not fully accommodate these features of the application of mathematics. At best, platonism provides partial ways of handling the issues. I then sketch an alternative, anti-realist account of the application of mathematics, and argue that this account manages to accommodate these features of the application (...)
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