Durham E-Theses

Total Page:16

File Type:pdf, Size:1020Kb

Durham E-Theses View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Durham e-Theses Durham E-Theses Realism, Truthmakers, and Language: A study in meta-ontology and the relationship between language and metaphysics MILLER, JAMES,TIMOTHY,MATTHEW How to cite: MILLER, JAMES,TIMOTHY,MATTHEW (2014) Realism, Truthmakers, and Language: A study in meta-ontology and the relationship between language and metaphysics, Durham theses, Durham University. Available at Durham E-Theses Online: http://etheses.dur.ac.uk/10696/ Use policy The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that: • a full bibliographic reference is made to the original source • a link is made to the metadata record in Durham E-Theses • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders. Please consult the full Durham E-Theses policy for further details. Academic Support Oce, Durham University, University Oce, Old Elvet, Durham DH1 3HP e-mail: [email protected] Tel: +44 0191 334 6107 http://etheses.dur.ac.uk 2 REALISM, TRUTHMAKERS, AND LANGUAGE A STUDY IN META-ONTOLOGY AND THE RELATIONSHIP BETWEEN LANGUAGE AND METAPHYSICS A thesis submitted for the degree of Doctor of Philosophy by James Timothy Matthew Miller Department of Philosophy University of Durham 2014 i I confirm that no part of the material contained in this thesis has previously been submitted for any degree in this or any other university. All the material is the author’s own work, except for quotations and paraphrases which have been suitably indicated. The copyright of this thesis rests with the author. No quotation from it should be published without his prior written consent, and information derived from it should be acknowledged. J.T.M. Miller ii Abstract 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 places epistemology prior to ontology, and is unwarranted in assuming a non-neutrality between theories of truth and positions within the realism debate. I therefore propose a characterisation of realism and anti-realism understood through truthmaking. This produces a suitable working characterisation of realism that will be used within the remainder of this project. In the second section, I trace the historical influences upon current deflationary approaches to metaphysics, most prominently those of Carnap, and Putnam. I argue that Quine’s supposed attack on Carnap’s anti-metaphysical thought fails, and show how current deflationary thought, most prominently exhibited by Hirsch, came to focus on linguistically derived concerns over the substantivity of metaphysics. In the third section, I outline a number of issues for the deflationist, and defend the coherency and legitimacy of the unrestricted existential quantifier. Focusing on the linguistic aspect of deflationism, I argue that the conception of language that the deflationist relies upon lacks suitable empirical and theoretical support within linguistics and other related domains. Furthermore, I suggest that linguistic analysis in fact supports the claim that the quantifier carries no inherent restrictions. This restores our ability to suitably posit the unrestricted existential quantifier, as a iii quantifier wherein the domain is only restricted by metaphysically substantive restrictions. Through this, I argue that metaphysics is a substantive domain of discourse. Lastly, I sketch a positive account of how, under an empirically and theoretically justified conception of language, metaphysics can be coherently held to be a realist, substantive enterprise, contra claims that hold that the nature of language inherently prevents metaphysics being considered to be a substantive domain of discourse. iv Acknowledgements The first thanks for any PhD thesis must go to the supervisors. Jonathan (E.J.) Lowe is the reason I am interested in metaphysics in the first place. Working with such a brilliant philosopher from my undergraduate all the way through to PhD has been an honour, and a continued source of inspiration to me. His passing shortly before submission of this thesis leaves a huge hole for all who knew him and philosophy more broadly; I only hope that he would be pleased with the thesis’ final state. Wolfram Hinzen, from our first meeting when he seemed surprised that I might wish to defend realist metaphysics, to the very last comments has provided invaluable support and advice. His thoughts on grammar, language, and the mind have greatly changed my thoughts on many areas in philosophy. Both of my supervisors’ endless willingness to comment on and discuss my ideas cannot be praised highly enough. Thanks must also go to Sophie Gibb and Matt Tugby for reading large sections of this work, and their excellent comments upon it. Durham, and its Philosophy Department, has been my home for the last 8 years, and this debt must be recognised. The academic climate in the department has always been fantastic, and very supportive of its members, and Durham’s own beauty cannot be denied. Thanks must go to the all of staff, both academic and just as importantly non-academic (we’d all be lost without them), in the Philosophy Department in Durham for their support both in my research and in my teaching duties; and to the students that I have had the pleasure of teaching over the last three years who have always provided me new ways to view old philosophical claims. I have benefited from discussions on many issues found in this thesis with Matti Eklund, Thomas Hofweber, David Liggins, Kit Fine, Jamin Asay, and all the speakers and attendees at the ‘Viability of Metaphysics’ workshop. To all, thank you. Thanks must also go to all my colleagues at the University Library in Durham, who have provided me with the stable basis without which this work would not have been possible. The Extended Hours Team have meant that long hours at work have been v more enjoyable than could ever be reasonably expected of evening and weekend work, and have been very forgiving and flexible around PhD writing, teaching, and conference schedules. I have been fortunate enough to have been part of two research groups in my time in Durham. First, the Language and Mind Research Group: thanks go to Dave, Tom, Andrew, Uli, Pallivi, Alex, and Josh, who allowed a realist metaphysician to join in their discussion about language and grammar. This thesis would not have the shape it does were it not for the support and comments of the members of this group. Second, the Metaphysics Reading Group, Alex, Richard, Olley, Henry, Tom, David, Donnchadh, and all other that have come along at one time or another – thank you for reminding me each week that there are still metaphysicians, and therefore that a thesis on its viability is worth my effort. Special thanks also go to all those who took time to proof-read and comment on sections of this thesis, including many of those already named above as well as Rune, and Mihretu. The mind of a PhD student can become very single-minded at times, so thanks must go to everyone who has endured me in this state and kept me going during difficult periods of research; and to all my friends that have put up with my endless talk of quantifiers, grammar, and metametaphysics, even during the countless, but all- important, games of darts. An acknowledgement must also go to the Tyneside Cinema, for providing so many breaks away to watch films all day when Durham began to feel a little small. It is not an overstatement to say that I would not be here were it not for the staff at The Royal Marsden Foundation Trust Hospital and the NHS more broadly. My treatment there was exemplary in every way, and it is a testament to them that despite periods of intensive treatment, this did not affect my education in the middle of crucial school years. That I have now reached the level of completing a PhD is, in no small way, due to them, and I hope that this might serve as some form of example vi that a cancer diagnosis need not stall or interrupt our aims in life when provided with such excellent medical care. Lastly, but by no means least, huge thanks must go to all of my family. My parents, brothers, and sister have all provided unlimited support, and this work would not have been possible without them. vii Table of Contents Abstract ii Acknowledgements iv Introduction: On the Viability of Metaphysics 1 Section I Realism and Truthmakers: An Alternative Characterisation of Realism 8 1.1 What is the ‘Realism Question’? 11 1.11 The Historic Question: Aristotle, Idealism and the Rise of Epistemology 13 1.12 The Realism Question of Post Kant 19 1.121 Chalmers and Sider 24 1.122 A (Non-Quantificational) Alternative 30 1.13 An Initial Characterisation 32 1.14 Returning to the Metaphysical Thesis and the Epistemological Thesis 33 1.2 The Neutrality of Truth 36 1.3 Deflationism 45 1.4 Truthmakers
Recommended publications
  • Abstract Entities Ted Sider August, 2001
    Bibliography on Abstract Entities Ted Sider August, 2001 Universals Some anthologies: Landesman, Charles, ed. 1971. The Problem of Universals. (New York: Basic Books). Loux, Michael J (Ed). Universals and Particulars: Readings in Ontology. University of Notre Dame, 1976. Mellor, D H (ed); Oliver, Alex (ed). “Properties”, Oxford Univ Pr : New York, 1997 This volume offers a selection of the most interesting and important readings on properties beginning with the work of Frege, Russell and Ramsey. In particular, it makes accessible for the first time contributions to the contemporary controversy about the nature and roles of properties: Do they differ from particulars? Are they universals, sets or tropes? How are properties involved with causation, laws and semantics? The editors' introduction guides the novice through these issues and critically discusses the readings. Van Inwagen, Peter, and Dean Zimmerman, eds. 1998. Metaphysics: The Big Questions. (Malden, MA: Blackwell). Van Iten, Richard J., ed. 1970. The Problem of Universals. (New York: Appleton Century Crofts). This has lots of good historical selections on the problem of universals, as well as selections through the middle part of the 20th century. Articles and Books: Agassi, Joseph; Sagal, Paul T. “The Problem of Universals”, Philosophical Studies. 1975; 28,289-294 The pair Democreteanism-platonism (nothing/something is outside space-time) differs from the pair nominalism-realism (universals are/are not nameable entities). Nominalism need not be Democretean, and Democreateanism is nominalist only if conceptualism is rejected. Putnam's critique of nominalism is thus invalid. Quine's theory is Democretean- when-possible: Quine is also a minimalist Platonist. Conceptualists and realists agree that universals exist but not as physical objects.
    [Show full text]
  • Metaontological Skepticism
    Metaontological Skepticism Inaugural-Dissertation zur Erlangung des Doktorgrades der Philosophie an der Ludwigs-Maximilians-Universität München vorgelegt von Walter Swetly Referent: Prof. Godehard Link Korreferent: Professor Karl-Georg Niebergall Tag der mündlichen Prüfung: 20.07.2009 Edward Hopper, Gas, Museum of Modern Art, New York Den Eltern zum Dank Acknowledgments This will be short and sweet. For their help by some means or other, I thank Anthony Everett, Andreas Foldenauer, Stasys Hiob, Thomas Hofweber, Herbert Huber, Hannes Leitgeb, Carlos-Ullisses Moulines, Odin Mühlenbein, Jakob Steinbrenner (and, of course, his wife), Brian Weatherson, André Wenzel and Tobias Wilsch. Special thanks go to Karl-Georg Niebergall, influence and nominalist extraordinaire, and Alexander Soutschek, who ran the long course, reading late drafts and participating in whole day meetings. I owe, however, the most and deepest depts to Godehard Link, ∅ystein Linnebo, and Alexander Oldemeier. Especially ∅ystein, and Alex had so much patience and guidance. They were there when work got difficult. Thanks, to my parents, my two sisters, my grandma and my grandpa, who sadly passed too early to see this, and my uncle Rainer and his wife, my aunt Gundi, for their support and love. Finally, thanks to my lovely girlfriend Anna for enduring me for 5 years. Keep on fighting, cinnamon! Contents ________________________________________________________ Chapter 1 Introduction S. 1 1.1 Worrying Questions S. 1 1.2 Metaontology S. 2 1.3 Skepticism S. 3 1.4 Metaontological Skepticism S. 7 1.5 Overview S. 9 Chapter 2 Quantifier Variance S. 11 2.1 Overview S. 11 2.2 An Attempt to Specify the Theory S.
    [Show full text]
  • Quantifiers, Domains, and (Meta-) Ontology
    Quantifiers, Domains, and (Meta-) Ontology Lajos Brons ([email protected])1 Department of Philosophy, Nihon University, and Lakeland College, Japan Campus, Tokyo, Japan abstract — In metaphysics, quantifiers are assumed to be either binary or unary. Binary quantifiers take the concept(s) ALL OF and/or SOME OF as primitive(s); unary quantifiers take the concept(s) EVERYTHING and/or SOMETHING as primitive(s). Binary quantifiers (explicitly) range over domains. However, EVERYTHING and SOMETHING are reducible to the binary quantifiers ALL OF and SOME OF: EVERYTHING is ALL OF some implied domain, and there is no natural, default, or inherent domain U such that EVERYTHING is ALL OF U. Therefore, any quantifier ranges over a domain, and is thus binary, and there are no unary quantifiers. This implies that if two theories assign different truth values to “Fs exist”, while they agree about the relevant properties of Fs, then the two theories quantify over different domains, and a choice between these two theories is, therefore, a choice between domains. However, none of the common arguments for or against particular domains is up to the task, and therefore, there are at least some cases in which there is no single right domain. The choice for a particular domain is a pragmatic choice. In addition to substantiating the above arguments, this paper discusses its implications for the metaphysical debate between Carnap and Quine and the contemporary controversies in meta-ontology. 1. introduction In “Empiricism, Semantics, and Ontology”, Carnap (1950) distinguished two kinds of ontological questions: internal questions concern the existence of certain entities within a given “framework”; external questions concern the “the choice whether or not to accept and use the forms of expression in the framework in question” (p.
    [Show full text]
  • Bibliography on Metaontology (Including Ontological Commitment, and Some Philosophy of Mathematics)
    Bibliography on Metaontology (including ontological commitment, and some philosophy of mathematics) Ted Sider, Spring 2006 Thanks to Savitt, and Amie Thomasson for sharing syllabi with me, and to Karen Bennett, Matti Eklund and Steve Yablo for posting syllabi online: Karen Bennett: http://www.princeton.edu/~kbennett/metasyllabus05.htm Matti Eklund: http://www.people.cornell.edu/pages/me72/ontologysyll.pdf Steve Yablo: http://www.mit.edu/~yablo/501.html Abstracts from The Philosopher’s Index, except when indicated parenthetically, or when in SMALLCAPS (the latter are by me). Alston, William P. “Ontological Commitments.”, Philosophical Studies. 1958; 9,8-16 This article considers the task of translating linguistic expressions, such as sentences of the form ‘there are p’s’, to sentences of some other form. The author is especially concerned with the view that such translations enable us to avoid “ontological commitments.” he takes an example from morton white which allegedly provides a case of a translation which avoids ontological commitments and argues that if the translation is adequate then it is used to make the same assertion as the original and so makes the same commitments. He concludes that those who take avoidance of ontological commitment as the point of linguistic translations are obstructing our view of the real point of such translations. Anderson, Alan Ross. 1959. Church on Ontological Commitment. Journal of Philosophy 56: 448-451. Austin, J. L. 1962. Sense and Sensibilia (Oxford University Press). Azzouni, Jody. 2004. Deflating Existential Consequence: A Case for Nominalism. Oxford: Oxford University Press. Belnap, Nuel. 1961-62. “Tonk, Plonk and Plink”, Analysis 22: 130-134.
    [Show full text]
  • Chalmers, Quantifier Variance and Mathematicians’ Freedom
    CHALMERS, QUANTIFIER VARIANCE AND MATHEMATICIANS' FREEDOM SHARON BERRY 1. Introduction Philosophers of mathematics have been much struck by mathematicians' apparent freedom to introduce new kinds of mathematical objects, such as complex numbers, sets and the objects and arrows of category theory. For example, in a recent Australasian Journal of Philosophy paper Julian Cole writes, “Reflecting on my experiences as a research mathematician, three things stand out. First, the frequency and intellectual ease with which I endorsed existential pure mathematical statements and referred to math- ematical entities. Second, the freedom I felt I had to introduce a new mathematical theory whose variables ranged over any mathematical enti- ties I wished, provided it served a legitimate mathematical purpose. And third, the authority I felt I had to engage in both types of activities. Most mathematicians will recognize these features of their everyday mathematical lives."[6]. In this paper, I will explore a way of using recent work on quantifier variance to explain this apparent freedom to introduce theories about new kinds of mathematical objects. In [5], David Chalmers suggests a way of de- scribing a class of alternative quantifier senses which are more ontologically profligate than our own using appeals to set theoretic models. I will suggest a modification of this proposal which frees it of certain arbitrary limitations on size by replacing appeals to set theory with appeals to an (independently 1 2 SHARON BERRY motivated) notion of broadly logical possibility. Once amended in this way, Chalmers' technique allows us to flesh out a Neo-Carnapian explanation for mathematicians' freedom to introduce new kinds of mathematical objects which avoids some major problems for existing accounts.
    [Show full text]
  • Introduction
    OUP CORRECTED PROOF – FINAL, 12/09/2015, SPi Introduction Stephan Blatti and Sandra Lapointe Metaphysics incorporates two levels of inquiry: ontology and metaontology.1 In the first, questions about what exists and about the properties and relations of various existents are posed and answered. The array of entities whose existence and properties are of concern ranges from the more familiar objects of everyday life, such as tables and persons, to the more exotic realms of numbers, fictional characters, propositions, and possible worlds. Given the enormous variety of things concerned, the questions ontol- ogists address often remain highly general. Ontological questions may concern, for example, what exists, what sort of stuff makes up those entities that do exist, in what kinds of relations existents stand with one another, the categories of existents, etc. Metaontology takes as its subject ontology itself. One may ask how, for instance, are ontological questions to be understood, and what really is at stake in raising and attempting to answer them? Or one may wonder by what standard are we to decide between competing answers to these questions? Or whether there are beliefs, state- ments, and/or practices that reveal antecedent commitments regarding answers to ontological questions (or antecedent constraints on the range of tenable answers)? While most, if not all, significant figures in the history of western metaphysics have held at least tacit views concerning these metaontological questions, careful and sustained work in metaontology is a relatively recent phenomenon.2 The single most significant episode in the brief history of metaontological inquiry was the mid-twentieth-century debate between the leading exponent of the logical positivist movement, Rudolf Carnap (1891–1970), and the leading critic of that movement, Willard Van Orman Quine (1908–2000).3 The subject of their dispute was the nature 1 The question of the relation between metaphysics and ontology is not altogether unproblematic.
    [Show full text]
  • Metaontology
    Metaontology Jason Turner for the Oxford Handbooks Online series Ontology studies being and existence. It asks questions like ‘Are there any tables, or just particles arranged in a table-like pattern?’; ‘Do immaterial minds exist?’; and so on. Meta-ontology studies ontology. It asks questions like ‘What do ontologists mean when they ask “Do immaterial minds exist?”, and how could they ever hope to answer such a question?’ In the analytic era, debates about metaontology burst on the scene as an outgrowth of the positivist’s attempts to eliminate metaphysics and Quine’s attempts to eliminate positivism. Carnap articulated a fully positivistic meta- ontological framework, according to which the sorts of ontological questions philosophers ask were either meaningless or trivial. Quine rejected that pic- ture as being bound up with the positivist’s analytic-synthetic distinction. As a matter of historical fact, Quine’s arguments carried the day, and the Carnapian program was all but abandoned. By and large, contemporary ontologists have operated with the sense of a shared legacy inherited from Quine; but recent broadly Carnapian resistance has arisen to challenge the received view. Here I review the debate between Carnap and Quine (§1) and identify several elements of the inherited Quinean legacy (§2), before going on to examine one broadly Carnapian line of thought and some contemporary resistance to it (§§3–4). 1 The Carnap-Quine Debate 1.1 Frameworks, Analyticity, and All That Carnap’s (1950) meta-ontological picture made heavy use of linguistic frame- works. A linguistic framework consists essentially of a syntax — a vocabulary plus rules for making sentences from it — and some linguistic rules.
    [Show full text]
  • ABSTRACT Quantifier Variance and Interpretive Charity John J. Giannini
    ABSTRACT Quantifier Variance and Interpretive Charity John J. Giannini, Ph.D. Mentor: Alexander R. Pruss, Ph.D. The ontological literature contains several ongoing discussions which seem not to be advancing: incompatible theories of what there is are energetically defended, but these defenses do not lead to consensus. Some have suggested that the explanation for this situation is that contemporary ontology pretends to more profundity than it possesses such that in many of these debates what is at issue is not in fact some deep truth about the world, but rather which linguistic convention to use in describing it. Many ontological debates are thus shallow. Eli Hirsch is a prominent defender of this view. He propounds a thesis called Quantifier Variance according to which there are multiple superficially similar languages which are equally good at describing reality, but which differ in their semantics, especially in the meanings they assign their quantifier terms. Speakers of two of these languages might appear to disagree about ontology when in fact they are having a merely verbal dispute. Hirsch further contends that the principle of interpretive charity obliges us to interpret various ontological camps as speaking different of these “ontological languages.” To do otherwise would be uncharitable, for it would be to assign error to some party on clearly insufficient grounds. It would follow that some debates in metaphysics are shallow, and inescapably so, for we would always need to interpret their participants at talking past one another. I aim to show that Hirsch’s contention is false, and that interpretive charity will not motivate such deflation.
    [Show full text]
  • Quantifier Variance, Mathematicians' Freedom and The
    QUANTIFIER VARIANCE, MATHEMATICIANS' FREEDOM AND THE REVENGE OF QUINEAN INDISPENSABILITY WORRIES SHARON BERRY Abstract. Invoking a form of Quantifier Variance promises to let us explain mathematicians' freedom to introduce new kinds of mathemat- ical objects in a way that avoids some problems for standard platonist and nominalist views. In this paper I'll note that, despite traditional as- sociations between quantifier variance and Carnapian rejection of meta- physics, Siderian realists about metaphysics can naturally be quantifier variantists. Unfortunately a variant on the Quinean indispensability argument concerning grounding seems to pose a problem for philoso- phers who accept this hybrid. However I will charitably reconstruct this problem and then argue for optimism about solving it. 1. Introduction Invoking a form of Quantifier Variance promises to let us attractively explain mathematicians' freedom to introduce new kinds of mathematical objects. Quantifier Variance allows one to say that when mathematicians introduce hypotheses characterizing new types of objects, this choice can simultaneously give meaning to newly coined predicate symbols and names and change the meaning of expressions like \there is", in such a way as to ensure the truth of the relevant hypotheses. Thus, for example, mathemati- cians' introduction of the complex numbers might change the meaning of our quantifiers so as to make the sentence \There is a number which is the square root of −1." go from expressing a falsehood to expressing a truth. Sharon Berry ([email protected]), Oakland University, Department of Philosophy, Mathematics and Science Center, Room 752, 146 Library Drive, Rochester, MI 48309-4479 E-mail address: [email protected].
    [Show full text]
  • DEFLATIONARY METAPHYSICS a Dissertation Presented to The
    DEFLATIONARY METAPHYSICS A Dissertation Presented to the Faculty of the Graduate School of Cornell University In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy by Eric C. Rowe August 2015 © 2015 Eric C. Rowe DEFLATIONARY METAPHYSICS Eric C. Rowe, Ph.D. Cornell University 2015 This dissertation consists of three papers on a handful of related metaphysical and metametaphysical topics. The first examines the connection between analyticity and ontology. Some hold that we can trivially resolve longstanding ontological debates by appealing to “ampliative” analytic truths (e.g. ‘if Socrates is wise, then wisdom is characteristic of Socrates’). I argue that once we clarify the theoretical role that analyticity needs to play for this view, it turns out that analyticity is ill-suited to play it; rather, what is motivating these theorists is a distinctive sort of equivalence claim – for instance, that ‘Socrates is wise’ and ‘wisdom is characteristic of Socrates’ merely provide different means of describing the same fact. I go on to argue that equivalencies of this sort are independent of controversial claims about analyticity, and threaten to hold important consequences for ontological inquiry. The second paper explores the metaphysical underpinnings of this type of equivalence claim. Part of the project is to clarify the content and consequences of such claims, and part is to canvass some motivations for accepting them; but the main goal is to explore two importantly ways of understanding their metametaphysical import. Briefly, one such view allows that ‘Socrates is wise’ and ‘Socrates instantiates wisdom’ can describe the same fact, but goes on to suggest that one of these sentences does a better job of carving that fact at its metaphysical joints.
    [Show full text]
  • Collapse and the Varieties of Quantifier Variance Matti Eklund
    Collapse and the Varieties of Quantifier Variance Matti Eklund [email protected] [draft version – published version in James Miller ed.), The Language of Ontology, Oxford University Press, 2021] 1. Introduction Quantifier variance—a much discussed thesis in recent discussions of ontology— will be my focus here. The thesis has been characterized in many, not obviously equivalent ways. Eventually, the differences between the characterizations will be a theme. Quantifier variance was introduced into the literature, under that name, by Eli Hirsch in a series of articles from the early 2000s and onwards, collected in his (2011), but the general idea has since Hirsch’s important work taken on a life of its own (and Hirsch himself credits Putnam with the basic idea). In his recent (2015) – which will be the focus of some of the present discussion – Jared Warren operates with this characterization: …there are distinct and inequivalent quantifier meanings such that the different parties in various ontological disputes can be interpreted as using different unrestricted existential quantifiers.1 In his seminal (2011) book, Ted Sider characterizes quantifier variance as follows: …ontological deflationists cannot accept that quantifiers carve at the joints. In my view they should go further and uphold quantifier variance, to use Hirsch’s term: the claim that there are multiple candidates to be meant by quantifiers, none of which carve perfectly at the joints, but none of which are exceeded in joint-carving by any other quantifier candidate.2 This at least provides a general idea of what quantifier variance is about, even if, as we will see, there are importantly different formulations of the thesis.
    [Show full text]
  • Quantifier Variance Dissolved 3 4Q1 SUKI FINN and OTÁVIO BUENO 5 6 7 Abstract 8 Quantifier Variance Faces a Number of Difficulties
    1 2 Quantifier Variance Dissolved 3 4Q1 SUKI FINN AND OTÁVIO BUENO 5 6 7 Abstract 8 Quantifier variance faces a number of difficulties. In this paper we first formulate the 9 view as holding that the meanings of the quantifiers may vary, and that languages 10 using different quantifiers may be charitably translated into each other. We then 11 object to the view on the basis of four claims: (i) quantifiers cannot vary their 12 meaning extensionally by changing the domain of quantification; (ii) quantifiers cannot vary their meaning intensionally without collapsing into logical pluralism; 13 (iii) quantifier variance is not an ontological doctrine; (iv) quantifier variance is 14 not compatible with charitable translation and as such is internally inconsistent. In 15 light of these troubles, we recommend the dissolution of quantifier variance and 16 suggest that the view be laid to rest. 17 18 19 20 1. Formulating Quantifier Variance 21 22 In contemporary metaontological discussions, quantifier variance is 23 the view according to which there is no unique best language to de- 1 24 scribe the world. Two equivalent descriptions of the world may 25 differ for a variety of pragmatic purposes, but none is privileged as 26 providing the correct account of reality. The view, crucially, involves 27 the recognition that there is variability in the use of the quantifica- 28 tional apparatus of a language, and it is this variation in the quantifi- 29 cational apparatus that provides the multitude of equally correct 30 languages to describe the world. Furthermore, these languages can 31 be charitably translated into one another so that speakers of each 32 may understand those of the other and see how their statements are 33 true in virtue of this translation.
    [Show full text]