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  1. 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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  • No fact of the matter.Marius Baumann - 2021 - Metaphilosophy 52 (3-4):466-478.
    Theodore Sider has argued that while there are some philosophical debates about which there is no fact of the matter, debates in normative ethics are likely not among them. This essay investigates a possible counterexample: the debate about so-called dirty hands. The essay first surveys several cases where No-Fact-of-the-Matter (NFM) claims have been made. Taking its cue from these cases, it then outlines two strategies that factualists about some domain can take, as well as two non-factualist counter strategies. Next, it (...)
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  • Ontology and the word 'exist': Uneasy relations.Jody Azzouni - 2010 - Philosophia Mathematica 18 (1):74-101.
    An extensive exploration of the special properties of ‘exist’ is here undertaken. Two of several results are: Denying that `exist’ has associated with it a set of necessary and sufficient conditions has seemed to a number of philosophers to imply metaphysical nihilism . This is because it has seemed that without such conditions the target domain of `existence’ is arbitrarily open. I show this is wrong. Second, my analysis sheds light on the puzzling question of what we are asking when (...)
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  • On what it takes for there to be no fact of the matter.Jody Azzouni & Otávio Bueno - 2008 - Noûs 42 (4):753-769.
    Philosophers are very fond of making non-factualist claims—claims to the effect that there is no fact of the matter as to whether something is the case. But can these claims be coherently stated in the context of classical logic? Some care is needed here, we argue, otherwise one ends up denying a tautology or embracing a contradiction. In the end, we think there are only two strategies available to someone who wants to be a non-factualist about something, and remain within (...)
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  • Empty de re attitudes about numbers.Jody Azzouni - 2009 - Philosophia Mathematica 17 (2):163-188.
    I dub a certain central tradition in philosophy of language (and mind) the de re tradition. Compelling thought experiments show that in certain common cases the truth conditions for thoughts and public-language expressions categorically turn on external objects referred to, rather than on linguistic meanings and/or belief assumptions. However, de re phenomena in language and thought occur even when the objects in question don't exist. Call these empty de re phenomena. Empty de re thought with respect to numeration is explored (...)
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  • From primitive identity to the non-individuality of quantum objects.Jonas Becker Arenhart & Décio Krause - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 46 (2):273-282.
    We consider the claim by Dorato and Morganti 591–610) that primitive individuality should be attributed to the entities dealt with by non-relativistic quantum mechanics. There are two central ingredients in the proposal: in the case of non-relativistic quantum mechanics, individuality should be taken as a primitive notion and primitive individuality is naturalistically acceptable. We argue that, strictly understood, naturalism faces difficulties in helping to provide a theory with a unique principle of individuation. We also hold that even when taken in (...)
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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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  • Indispensability argument and anti-realism in philosophy of mathematics.Feng Ye - 2007 - Frontiers of Philosophy in China 2 (4):614-628.
    The indispensability argument for abstract mathematical entities has been an important issue in the philosophy of mathematics. The argument relies on several assumptions. Some objections have been made against these assumptions, but there are several serious defects in these objections. Ameliorating these defects leads to a new anti-realistic philosophy of mathematics, mainly: first, in mathematical applications, what really exist and can be used as tools are not abstract mathematical entities, but our inner representations that we create in imagining abstract mathematical (...)
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  • Democracy, Civility, and Semantic Descent.Robert Talisse - 2023 - Analyse & Kritik 45 (1):5-22.
    In a well-functioning democracy, must citizens regard one another as political equals, despite ongoing disagreements about normatively significant questions of public policy. A conception of civility is needed to supply citizens with a common sense of the rules of political engagement. By adhering to the norms of civility, deeply divided citizens can still assure one another of their investment in democratic politics. Noting well-established difficulties with the very idea of civility, this essay raises a more fundamental problem. Any conception of (...)
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  • Newton’s Challenge to Philosophy: A Programmatic Essay.Eric Schliesser - 2011 - Hopos: The Journal of the International Society for the History of Philosophy of Science 1 (1):101-128.
    I identify a set of interlocking views that became (and still are) very influential within philosophy in the wake of Newton’s success. These views use the authority of natural philosophy/mechanics to settle debates within philosophy. I label these “Newton’s Challenge.”.
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  • The facticity of explanation and its consequences.Yvonne Raley - 2007 - International Studies in the Philosophy of Science 21 (2):123 – 135.
    This paper argues that, contrary to the views of Nancy Cartwright and Brian Ellis, explanations are factive: if a statement is taken to be an explanation, it also has to be accepted as true. Taking explanations to be true, in turn, seems to imply that all the entities posited in explanations are real. But this is precisely what some philosophers, such as Cartwright and Ellis, want to deny. What these philosophers do not want to deny, however, is that such statements (...)
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  • Deflating existence away? A critique of Azzouni's nominalism.Yvonne Raley - 2009 - Philosophia Mathematica 17 (1):73-83.
    Yet, he also says that it is philosophically indeterminate which criterion for what exists is correct. Nominalism is the view that certain objects ( i.e ., abstract objects) do not exist, and not the view that it is philosophically indeterminate whether or not they do. I resolve the dilemma that Azzouni's claims pose: Azzouni is a non-factualist about what exists, but he is a factualist about which criterion for what exists our community of speakers has adopted. It is in the (...)
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  • On the substantive nature of disagreements in ontology.Kathrin Koslicki - 2005 - Philosophy and Phenomenological Research 71 (1):85–151.
    This paper concerns a fundamental dispute in ontology between the “Foundational Ontologist”, who believes that there is only one correct way of characterizing what there is, and the ontological “Skeptic”, who believes that there are viable alternative characterizations of what there is. I examine in detail an intriguing recent proposal in Dorr (2005), which promises to yield (i) a way of interpreting the Skeptic by means of a counterfactual semantics; and (ii) a way of converting the Skeptic to a position (...)
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  • back to the question of ontology.Jonas Rafael Becker Arenhart & Raoni Wohnrath Arroyo - 2021 - Manuscrito 44 (2):1-51.
    We articulate a distinction between ontology, understood as involving existence questions, and metaphysics, understood as either providing for metaphysical profiles of entities or else as dealing with fundamentality and/or grounding and dependence questions. The distinction, we argue, allows a better understanding of the roles of metaontology and metametaphysics when it comes to discussing the relations between ontology and science on the one hand, and metaphysics and science on the other. We argue that while ontology, as understood in this paper, may (...)
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  • Committing to an individual: ontological commitment, reference and epistemology.Frederique Janssen-Lauret - 2016 - Synthese 193 (2):583-604.
    When we use a directly referential expression to denote an object, do we incur an ontological commitment to that object, as Russell and Barcan Marcus held? Not according to Quine, whose regimented language has only variables as denoting expressions, but no constants to model direct reference. I make a case for a more liberal conception of ontological commitment—more wide-ranging than Quine’s—which allows for commitment to individuals, with an improved logical language of regimentation. The reason for Quine’s prohibition on commitment to (...)
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  • Indispensability argument and anti-realism in philosophy of mathematics.Y. E. Feng - 2007 - Frontiers of Philosophy in China 2 (4):614-628.
    The indispensability argument for abstract mathematical entities has been an important issue in the philosophy of mathematics. The argument relies on several assumptions. Some objections have been made against these assumptions, but there are several serious defects in these objections. Ameliorating these defects leads to a new anti-realistic philosophy of mathematics, mainly: first, in mathematical applications, what really exist and can be used as tools are not abstract mathematical entities, but our inner representations that we create in imagining abstract mathematical (...)
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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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  • In Defense of Quinean Ontological Naturalism.Patrick Dieveney - 2012 - Erkenntnis 76 (2):225-242.
    Quinean Ontological Naturalism addresses the question “What is there?” Advocates of the view maintain that we can answer this question by applying Quine’s criterion of ontological commitment to our best scientific theories. In this paper, I discuss two major objections that are commonly offered to this view, what I call the “Paraphrase Objection” and “First Philosophy Objection”. I argue that these objections arise from a common uncharitable characterization of the Quinean Ontological Naturalist’s project that fails to distinguish two distinct roles (...)
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  • Dispensability in the Indispensability Argument.Patrick S. Dieveney - 2007 - Synthese 157 (1):105-128.
    One of the most influential arguments for realism about mathematical objects is the indispensability argument. Simply put, this is the argument that insofar as we are committed to the existence of the physical objects existentially quantified over in our best scientific theories, we are also committed to the mathematical objects existentially quantified over in these theories. Following the Quine–Putnam formulation of the indispensability argument, some proponents of the indispensability argument have made the mistake of taking confirmational holism to be an (...)
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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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  • Neo-Nagelian reduction: a statement, defence, and application.Foad Dizadji-Bahmani - 2011 - Dissertation, London School of Economics
    The thesis proposes, defends, and applies a new model of inter-theoretic reduction, called "Neo-Nagelian" reduction. There are numerous accounts of inter-theoretic reduction in the philosophy of science literature but the most well-known and widely-discussed is the Nagelian one. In the thesis I identify various kinds of problems which the Nagelian model faces. Whilst some of these can be resolved, pressing ones remain. In lieu of the Nagelian model, other models of inter-theoretic reduction have been proposed, chief amongst which are so-called (...)
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  • Ontological Commitment.Daniel Durante Pereira Alves - 2018 - AL-Mukhatabat 1 (27):177-223.
    Disagreement over what exists is so fundamental that it tends to hinder or even to block dialogue among disputants. The various controversies between believers and atheists, or realists and nominalists, are only two kinds of examples. Interested in contributing to the intelligibility of the debate on ontology, in 1939 Willard van Orman Quine began a series of works which introduces the notion of ontological commitment and proposes an allegedly objective criterion to identify the exact conditions under which a theoretical discourse (...)
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  • Objects and objectivity : Alternatives to mathematical realism.Ebba Gullberg - 2011 - Dissertation, Umeå Universitet
    This dissertation is centered around a set of apparently conflicting intuitions that we may have about mathematics. On the one hand, we are inclined to believe that the theorems of mathematics are true. Since many of these theorems are existence assertions, it seems that if we accept them as true, we also commit ourselves to the existence of mathematical objects. On the other hand, mathematical objects are usually thought of as abstract objects that are non-spatiotemporal and causally inert. This makes (...)
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