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Quantifier Variance and Realism

Noûs 36 (s1):51-73 (2002)

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  1. What Do the Folk Think about Composition and Does it Matter?Daniel Z. Korman & Chad Carmichael - 2017 - In David Rose (ed.), Experimental Metaphysics. New York: Bloomsbury Academic. pp. 187-206.
    Rose and Schaffer (forthcoming) argue that teleological thinking has a substantial influence on folk intuitions about composition. They take this to show (i) that we should not rely on folk intuitions about composition and (ii) that we therefore should not reject theories of composition on the basis of intuitions about composition. We cast doubt on the teleological interpretation of folk judgments about composition; we show how their debunking argument can be resisted, even on the assumption that folk intuitions have a (...)
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  • Devious Stipulations.John Horden - 2017 - Oxford Studies in Metaphysics 10.
    Recent attempts to answer ontological questions through conceptual analysis have been controversial. Still, it seems reasonable to assume that if the existence of certain things analytically follows from sentences we already accept, then there is no further ontological commitment involved in affirming the existence of those things. More generally, it is plausible that whenever a sentence analytically entails another, the conjunction of those sentences requires nothing more of the world for its truth than the former sentence alone. In his ‘Analyticity (...)
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  • Realism, Truthmakers, and Language: A study in meta-ontology and the relationship between language and metaphysics.J. T. M. Miller - 2014 - Dissertation, Durham University
    Metaphysics has had a long history of debate over its viability, and substantivity. This thesis explores issues connected to the realism question within the domain of metaphysics, ultimately aiming to defend a realist, substantive metaphysics by responding to so-called deflationary approaches, which have become prominent, and well supported within the recent metametaphysical and metaontological literature. To this end, I begin by examining the changing nature of the realism question. I argue that characterising realism and anti-realism through theories of truth unduly (...)
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  • New Wave Pluralism.David Ludwig - 2013 - Dialectica 67 (4):545-560.
    The aim of this paper is to develop a pluralist interpretation of the phenomenal concept strategy (PCS). My starting point is Horgan and Tienson's deconstructive argument according to which proponents of PCS face the following dilemma: either phenomenal concepts or physical concepts allow us to conceive phenomenal states as they are in themselves. If phenomenal concepts allow us to conceive phenomenal states as they are in themselves, then phenomenal states are non-physical states and physicalism is wrong. If physical concepts allow (...)
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  • The Endurance/Perdurance Controversy is No Storm in a Teacup.Tobias Hansson Wahlberg - 2014 - Axiomathes 24 (4):463-482.
    Several philosophers have maintained in recent years that the endurance/perdurance debate is merely verbal: these prima facie distinct theories of objects’ persistence are in fact metaphysically equivalent, they claim. The present paper challenges this view. Three proposed translation schemes are examined; all are shown to be faulty. In the process, constructive reasons for regarding the debate as a substantive one are provided. It is also suggested that the theories may have differing practical implications.
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  • Don't Ask, Look! Linguistic Corpora as a Tool for Conceptual Analysis.Roland Bluhm - 2013 - In Miguel Hoeltje, Thomas Spitzley & Wolfgang Spohn (eds.), Was dürfen wir glauben? Was sollen wir tun? Sektionsbeiträge des achten internationalen Kongresses der Gesellschaft für Analytische Philosophie e.V. DuEPublico. pp. 7-15.
    Ordinary Language Philosophy has largely fallen out of favour, and with it the belief in the primary importance of analyses of ordinary language for philosophical purposes. Still, in their various endeavours, philosophers not only from analytic but also from other backgrounds refer to the use and meaning of terms of interest in ordinary parlance. In doing so, they most commonly appeal to their own linguistic intuitions. Often, the appeal to individual intuitions is supplemented by reference to dictionaries. In recent times, (...)
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  • Introduzione.Luca Morena & Giuliano Torrengo - 2006 - Rivista di Estetica 32:3-6.
    1 In un tentativo d’autodifesa che all’epoca apparve ai più come disperato. Bill Clinton ebbe a dire che l’esistenza o meno del suo affaire con Monica Lewinsky dipendeva da quale significato si sarebbe dovuto attribuire alla semplice parola «è» Che il legame tra le parole e la realtà non sia esattamente come quello immaginato (o, meglio, sperato) da Clinton dovrebbe essere evidente a tutti: sappiamo con ragionevole certezza che l’esistenza di un gran numero di cose non dipende dal significato...
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  • Is ontological revisionism uncharitable?Chris Daly & David Liggins - 2016 - Canadian Journal of Philosophy 46 (3):405-425.
    Some philosophers deny the existence of composite material objects. Other philosophers hold that whenever there are some things, they compose something. The purpose of this paper is to scrutinize an objection to these revisionary views: the objection that nihilism and universalism are both unacceptably uncharitable because each of them implies that a great deal of what we ordinarily believe is false. Our main business is to show how nihilism and universalism can be defended against the objection. A secondary point is (...)
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  • Life on the Range.G. Aldo Antonelli - 2015 - In Alessandro Torza (ed.), Quantifiers, Quantifiers, and Quantifiers. Themes in Logic, Metaphysics, and Language. (Synthese Library vol. 373). Springer. pp. 171-189.
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  • The Existential Quantifier, Composition and Contingency.Kristie Miller - 2010 - Erkenntnis 73 (2):211 - 235.
    There is a good deal of disagreement about composition. There is firstorder disagreement: there are radically different answers to the special composition question—the question of under what circumstances the xs compose a y. There is second-order disagreement: there are different answers to the question of whether first-order disagreement is real or merely semantic. Virtually all disputants with respect to both the first-and second-order issues agree that the answer or answers to the special composition question will take the form of a (...)
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  • Presentism, eternalism, and the growing block.Kristie Miller - 2013 - In Heather Dyke & Adrian Bardon (eds.), A Companion to the Philosophy of Time. Chichester, UK: Wiley-Blackwell. pp. 345-364.
    This paper has three main sections. The first section provides a general characterisation of presentism, eternalism and growing blockism. It presents a pair of core, defining claims that jointly capture each of these three views. This makes clear the respects in which the different views agree, and the respects in which they disagree, about the nature of time. The second section takes these characterisations and considers whether we really do have three distinct views, or whether defenders of these views are (...)
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  • The Necessity of Metaphysics.Tuomas E. Tahko - 2008 - Dissertation, Durham University
    The purpose of this thesis is to demonstrate that metaphysics is a necessary discipline -- necessary in the sense that all areas of philosophy, all areas of science, and in fact any type of rational activity at all would be impossible without a metaphysical background or metaphysical presuppositions. Because of the extremely strong nature of this claim, it is not possible to put forward a very simple argument, although I will attempt to construct one. A crucial issue here is what (...)
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  • Folk Mereology is Teleological.David Rose & Jonathan Schaffer - 2017 - Noûs 51 (2):238-270.
    When do the folk think that mereological composition occurs? Many metaphysicians have wanted a view of composition that fits with folk intuitions, and yet there has been little agreement about what the folk intuit. We aim to put the tools of experimental philosophy to constructive use. Our studies suggest that folk mereology is teleological: people tend to intuit that composition occurs when the result serves a purpose. We thus conclude that metaphysicians should dismiss folk intuitions, as tied into a benighted (...)
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  • Fundamental Quantification and the Language of the Ontology Room.Daniel Z. Korman - 2013 - Noûs 49 (2):298-321.
    Nihilism is the thesis that no composite objects exist. Some ontologists have advocated abandoning nihilism in favor of deep nihilism, the thesis that composites do not existO, where to existO is to be in the domain of the most fundamental quantifier. By shifting from an existential to an existentialO thesis, the deep nihilist seems to secure all the benefits of a composite-free ontology without running afoul of ordinary belief in the existence of composites. I argue that, while there are well-known (...)
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  • What Generates the Realism/Anti-Realism Dichotomy?Jesse M. Mulder - 2012 - Philosophica 84 (1):53-84.
    The most basic divide amongst analytic metaphysicians separates realists from anti-realists. By examining certain characteristic and problematic features of these two families of views, we uncover their underlying metametaphysicalorientations, which turn out to coincide. This shared philosophical picture that underlies both the realist and the anti-realist project we call the Modern Picture. It rests on a crucial distinction between reality as it is for us and reality as it is in itself. It is argued that this distinction indeed generates the (...)
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  • The Metaphysics of Mass Expressions.Mark Steen - 2012 - Stanford Encyclopedia of Philosophy.
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  • The privilege of the physical and the status of ontological debates.Nurbay Irmak - 2013 - Philosophical Studies 166 (S1):1-18.
    Theodore Sider in his latest book provides a defense of the substantivity of the first-order ontological debates against recent deflationary attacks. He articulates and defends several realist theses: (a) nature has an objective structure, (b) there is an objectively privileged language to describe the structure, and (c) ontological debates are substantive. Sider’s defense of metaontological realism, (c), crucially depends on his realism about fundamental languages, (b). I argue that (b) is wrong. As a result, Sider’s metaontological realism fails to establish (...)
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  • Verbal Disputes and Substantiveness.Brendan Balcerak Jackson - 2014 - Erkenntnis 79 (S1):31-54.
    One way to challenge the substantiveness of a particular philosophical issue is to argue that those who debate the issue are engaged in a merely verbal dispute. For example, it has been maintained that the apparent disagreement over the mind/brain identity thesis is a merely verbal dispute, and thus that there is no substantive question of whether or not mental properties are identical to neurological properties. The goal of this paper is to help clarify the relationship between mere verbalness and (...)
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  • Logic and Ontological Pluralism.Jason Turner - 2012 - Journal of Philosophical Logic 41 (2):419-448.
    Ontological pluralism is the doctrine that there are different ways or modes of being. In contemporary guise, it is the doctrine that a logically perspicuous description of reality will use multiple quantifiers which cannot be thought of as ranging over a single domain. Although thought defeated for some time, recent defenses have shown a number of arguments against the view unsound. However, another worry looms: that despite looking like an attractive alternative, ontological pluralism is really no different than its counterpart, (...)
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  • Looking for the Nature of Law: On Shapiro’s Challenge. [REVIEW]Damiano Canale - 2012 - Law and Philosophy 31 (4):409-441.
    This article critically focuses on the methodological aspects of Scott Shapiro’s book Legality . Indeed Shapiro’s book sets out several original theses about not only the nature of law and the main problems of jurisprudence, but also about how the nature of law can be discovered by jurisprudence. In this sense, the method of inquiry adopted by Shapiro can be considered as one of the most challenging outcomes of his research. The article is divided into two parts. In the first (...)
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  • Metaphilosophy.Yuri Cath - 2011 - Oxford Bibliographies in Philosophy.
    Often philosophers have reason to ask fundamental questions about the aims, methods, nature, or value of their own discipline. When philosophers systematically examine such questions, the resulting work is sometimes referred to as “metaphilosophy.” Metaphilosophy, it should be said, is not a well-established, or clearly demarcated, field of philosophical inquiry like epistemology or the philosophy of art. However, in the late 20th and early 21st centuries there has been a great deal of metaphilosophical work on issues concerning the methodology of (...)
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  • Carnap's Metaontology.Matti Eklund - 2011 - Noûs 47 (2):229-249.
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  • Kantian Monism.Uriah Kriegel - 2012 - Philosophical Papers 41 (1):23-56.
    Let ‘monism’ be the view that there is only one basic object—the world. Monists face the question of whether there are also non-basic objects. This is in effect the question of whether the world decomposes into parts. Jonathan Schaffer maintains that it does, Terry Horgan and Matjaž Potrč that it does not. In this paper, I propose a compromise view, which I call ‘Kantian monism.’ According to Kantian monism, the world decomposes into parts insofar as an ideal subject under ideal (...)
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  • Ordinary objects.Daniel Z. Korman - 2011 - Stanford Encyclopedia of Philosophy.
    An encyclopedia entry which covers various revisionary conceptions of which macroscopic objects there are, and the puzzles and arguments that motivate these conceptions: sorites arguments, the argument from vagueness, the puzzles of material constitution, arguments against indeterminate identity, arguments from arbitrariness, debunking arguments, the overdetermination argument, and the problem of the many.
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  • How To Precisify Quantifiers.Arvid Båve - 2011 - Journal of Philosophical Logic 40 (1):103-111.
    I here argue that Ted Sider's indeterminacy argument against vagueness in quantifiers fails. Sider claims that vagueness entails precisifications, but holds that precisifications of quantifiers cannot be coherently described: they will either deliver the wrong logical form to quantified sentences, or involve a presupposition that contradicts the claim that the quantifier is vague. Assuming (as does Sider) that the “connectedness” of objects can be precisely defined, I present a counter-example to Sider's contention, consisting of a partial, implicit definition of the (...)
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  • Two Defenses of Common-Sense Ontology.Uriah Kriegel - 2011 - Dialectica 65 (2):177-204.
    In a series of publications, Eli Hirsch has presented a sustained defense of common-sense ontology. Hirsch's argument relies crucially on a meta-ontological position sometimes known as ‘superficialism’. Hirsch's argument from superficialism to common-sense ontology is typically resisted on the grounds that superficialism is implausible. In this paper, I present an alternative argument for common-sense ontology, one that relies on (what I argue is) a much more plausible meta-ontological position, which I call ‘constructivism’. Note well: I will not quite argue that (...)
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  • Ontological anti-realism.David J. Chalmers - 2009 - In Ryan Wasserman, David Manley & David Chalmers (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford, England: Oxford University Press.
    The basic question of ontology is “What exists?”. The basic question of metaontology is: are there objective answers to the basic question of ontology? Here ontological realists say yes, and ontological anti-realists say no. (Compare: The basic question of ethics is “What is right?”. The basic question of metaethics is: are there objective answers to the basic question of ethics? Here moral realists say yes, and moral anti-realists say no.) For example, the ontologist may ask: Do numbers exist? The Platonist (...)
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  • What Is Ontological Realism?C. S. Jenkins - 2010 - Philosophy Compass 5 (10):880-890.
    The purpose of this paper is to clarify what metaontological realism, as discussed in contemporary metaontological literature, amounts to. Although metaontological debates are of relatively long standing, the terms ‘realism’ and ‘anti‐realism’ have only recently come to be regularly applied to metaontological positions. The new usage is not fully stable. This paper aims to: (1) distinguish three key claims associated with the term ‘realism’ in metaontology, and give some initial reasons why it is important to be very clear about the (...)
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  • Naturalness, Vagueness, and Sortals.Marta Campdelacreu - 2010 - Metaphysica 11 (1):79-91.
    In the past few years, deflationary positions in the debate on the nature of composite material objects have become prominent. According to Ted Sider these include the thesis of quantifier variance, against which he has defended ontological realism. Recently, Sider has considered the possibility of rejecting his arguments against the vagueness of the unrestricted quantifiers in terms of translation functions. Against this strategy, he has presented an intuitive complaint and has argued that it can only be resisted if quantifier variance (...)
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  • Introduction : a guided tour of metametaphysics.David Manley - 2009 - In Ryan Wasserman, David Manley & David Chalmers (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford, England: Oxford University Press.
    Metaphysics is concerned with the foundations of reality. It asks questions about the nature of the world, such as: Aside from concrete objects, are there also abstract objects like numbers and properties? Does every event have a cause? What is the nature of possibility and necessity? When do several things make up a single bigger thing? Do the past and future exist? And so on. -/- Metametaphysics is concerned with the foundations of metaphysics. It asks: Do the questions of metaphysics (...)
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  • Carnap and ontological pluralism.Matti Eklund - 2009 - In Ryan Wasserman, David Manley & David Chalmers (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford, England: Oxford University Press. pp. 130--56.
    My focus here will be Rudolf Carnap’s views on ontology, as these are presented in the seminal “Empiricism, Semantics and Ontology” (1950). I will first describe how I think Carnap’s distinction between external and internal questions is best understood. Then I will turn to broader issues regarding Carnap’s views on ontology. With certain reservations, I will ascribe to Carnap an ontological pluralist position roughly similar to the positions of Eli Hirsch and the later Hilary Putnam. Then I turn to some (...)
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  • Is the Hirsch–Sider Dispute Merely Verbal?Gerald Marsh - 2010 - Australasian Journal of Philosophy 88 (3):459-469.
    There is currently debate between deflationists and anti-deflationists about the ontology of persisting objects. Some deflationists think that disputes between, for example, four-dimensionalists (e.g. Ted Sider and David Lewis) and quasi-nihilists (e.g. Peter Van Inwagen and Trenton Merricks) are merely verbal disputes. Anti-deflationists deny this. Eli Hirsch is a deflationist who maintains that many ontological disputes are merely verbal. Theodore Sider maintains that the disputes are not merely verbal. Hirsch and Sider are thus engaged in a metaontological dispute. In this (...)
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  • 4. Absolute Generality Reconsidered.Agustín Rayo - 2012 - Oxford Studies in Metaphysics 7:93.
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  • Material constitution.Ryan Wasserman - 2010 - Stanford Encyclopedia of Philosophy.
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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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  • Eliminativism and the challenge from folk belief.Daniel Z. Korman - 2009 - Noûs 43 (2):242-264.
    Virtually everyone agrees that, even after having presented the arguments for their positions, proponents of revisionary philosophical theories are required to provide some sort of account of the conflict between their theories and what the folk believe. I examine various strategies for answering the challenge from folk belief. The examination proceeds as a case study, whose focus is eliminativism about ordinary material objects. I critically assess eliminativist attempts to explain folk belief by appeal to paraphrase, experience, and intuition.
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  • Existence questions.Amie L. Thomasson - 2008 - Philosophical Studies 141 (1):63 - 78.
    I argue that thinking of existence questions as deep questions to be resolved by a distinctively philosophical discipline of ontology is misguided. I begin by examining how to understand the truth-conditions of existence claims, by way of understanding the rules of use for ‘exists’ and for general noun terms. This yields a straightforward method for resolving existence questions by a combination of conceptual analysis and empirical enquiry. It also provides a blueprint for arguing against most common proposals for uniform substantive (...)
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  • A Return to the Analogy of Being.Kris Mcdaniel - 2010 - Philosophy and Phenomenological Research 81 (3):688 - 717.
    Recently, I’ve championed the doctrine that fundamentally different sorts of things exist in fundamentally different ways.1 On this view, what it is for an entity to be can differ across ontological categories.2 Although historically this doctrine was very popular, and several important challenges to this doctrine have been dealt with, I suspect that contemporary metaphysicians will continue to treat this view with suspicion until it is made clearer when one is warranted in positing different modes of existence.3 I address this (...)
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  • Against vague existence.Theodore Sider - 2003 - Philosophical Studies 114 (1-2):135 - 146.
    In my book Four-dimensionalism (chapter 4, section 9), I argued that fourdimensionalism – the doctrine of temporal parts – follows from several other premises, chief among which is the premise that existence is never vague. Kathrin Koslicki (preceding article) claims that the argument fails since its crucial premise is unsupported, and is dialectically inappropriate to assume in the context of arguing for four-dimensionalism. Since the relationship between four-dimensionalism and the non-vagueness of existence is not perfectly transparent, I think the argument (...)
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  • Quantifiers and temporal ontology.Theodore Sider - 2006 - Mind 115 (457):75-97.
    Eternalists say that non-present entities (for instance dinosaurs) exist; presentists say that they do not. But some sceptics deny that this debate is genuine, claiming that presentists simply represent eternalists' quantifiers over non-present entities in different notation. This scepticism may be refuted on purely logical grounds: one of the leading candidate ‘presentist quantifiers’ over non-present things has the inferential role of a quantifier. The dispute over whether non-present objects exist is as genuine and non-verbal as the dispute over whether there (...)
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  • What is a second order theory committed to?Charles Sayward - 1983 - Erkenntnis 20 (1):79 - 91.
    The paper argues that no second order theory is ontologically commited to anything beyond what its individual variables range over.
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  • Quantifying over the reals.Philip Hugly & Charles Sayward - 1994 - Synthese 101 (1):53 - 64.
    Peter Geach proposed a substitutional construal of quantification over thirty years ago. It is not standardly substitutional since it is not tied to those substitution instances currently available to us; rather, it is pegged to possible substitution instances. We argue that (i) quantification over the real numbers can be construed substitutionally following Geach's idea; (ii) a price to be paid, if it is that, is intuitionism; (iii) quantification, thus conceived, does not in itself relieve us of ontological commitment to real (...)
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  • Change, temporal parts, and the argument from vagueness.Achille C. Varzi - 2005 - Dialectica 59 (4):485–498.
    The so-called "argument from vagueness", the clearest formulation of which is to be found in Ted Sider’s book Four-dimensionalism, is arguably the most powerful and innovative argument recently offered in support of the view that objects are four-dimensional perdurants. The argument is defective--I submit--and in a number of ways that is worth looking into. But each "defect" corresponds to a model of change that is independently problematic and that can hardly be built into the common-sense picture of the world. So (...)
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  • Sider on existence.David Liebesman & Matti Eklund - 2007 - Noûs 41 (3):519–528.
    In (2001), (2003), and elsewhere, Ted Sider presents two arguments concerning the existential quantifier which are justly central to the recent discussion of metaontology. What we will call Sider's indeterminacy argument is an attempted reductio of the suggestion that the existential quantifier might be semantically indeterminate. What we will call Sider's naturalness argument is an argument for the claim that the semantic value of the existential quantifier is the most eligible existence-like meaning there is, à la David Lewis' eligibility theory (...)
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  • Truthmakers and ontological commitment: or how to deal with complex objects and mathematical ontology without getting into trouble.Ross P. Cameron - 2008 - Philosophical Studies 140 (1):1 - 18.
    What are the ontological commitments of a sentence? In this paper I offer an answer from the perspective of the truthmaker theorist that contrasts with the familiar Quinean criterion. I detail some of the benefits of thinking of things this way: they include making the composition debate tractable without appealing to a neo-Carnapian metaontology, making sense of neo-Fregeanism, and dispensing with some otherwise recalcitrant necessary connections.
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  • Realism and social structure.Elizabeth Barnes - 2017 - Philosophical Studies 174 (10):2417-2433.
    Social constructionism is often considered a form of anti-realism. But in contemporary feminist philosophy, an increasing number of philosophers defend views that are well-described as both realist and social constructionist. In this paper, I use the work of Sally Haslanger as an example of realist social constructionism. I argue: that Haslanger is best interpreted as defending metaphysical realism about social structures; that this type of metaphysical realism about the social world presents challenges to some popular ways of understanding metaphysical realism.
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  • Can an Ontological Pluralist Really be a Realist?J. T. M. Miller - 2016 - Metaphilosophy 47 (3):425-430.
    This article examines whether it is possible to uphold one form of deflationism towards metaphysics, ontological pluralism, whilst maintaining metaphysical realism. The focus therefore is on one prominent deflationist who fits the definition of an ontological pluralist, Eli Hirsch, and his self-ascription as a realist. The article argues that ontological pluralism is not amenable to the ascription of realism under some basic intuitions as to what a “realist” position is committed to. These basic intuitions include a commitment to more than (...)
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  • The Metaphysical Commitments of Logic.Thomas Brouwer - 2013 - Dissertation, University of Leeds
    This thesis is about the metaphysics of logic. I argue against a view I refer to as ‘logical realism’. This is the view that the logical constants represent a particular kind of metaphysical structure, which I dub ‘logico-metaphysical structure’. I argue instead for a more metaphysically lightweight view of logic which I dub ‘logical expressivism’. -/- In the first part of this thesis (Chapters I and II) I argue against a number of arguments that Theodore Sider has given for logical (...)
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  • Much Ado About 'Something'.Jessica M. Wilson - 2011 - Analysis 71 (1):172-188.
    Every paper in this collection is worth reading, for one reason or another. Still, due to certain problematic metametaphysical presuppositions most of these discussions miss the deeper mark, on the pessimist as well as the optimist side. My reasons for thinking this come from considering how best to answer three metametaphysical questions. First, why be pessimistic about metaphysics – why be Carnapian in a post-positivist age? There is, I’ll suggest, a post-positivist strategy for reviving Carnapian pessimism, but it is almost (...)
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  • Quantifier Variance and Indefinite Extensibility.Jared Warren - 2017 - Philosophical Review 126 (1):81-122.
    This essay clarifies quantifier variance and uses it to provide a theory of indefinite extensibility that I call the variance theory of indefinite extensibility. The indefinite extensibility response to the set-theoretic paradoxes sees each argument for paradox as a demonstration that we have come to a different and more expansive understanding of ‘all sets’. But indefinite extensibility is philosophically puzzling: extant accounts are either metasemantically suspect in requiring mysterious mechanisms of domain expansion, or metaphysically suspect in requiring nonstandard assumptions about (...)
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