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Necessary Beings: An Essay on Ontology, Modality, and the Relations Between Them

Oxford, England: Oxford University Press (2013)

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  1. Epistemic Modality and Hyperintensionality in Mathematics.Timothy Bowen - 2017 - Dissertation, Arché, University of St Andrews
    This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...)
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  • A Hyperintensional Two-Dimensionalist Solution to the Access Problem.Timothy Bowen - manuscript
    I argue that the two-dimensional hyperintensions of epistemic topic-sensitive two-dimensional truthmaker semantics provide a compelling solution to the access problem. I countenance an abstraction principle for epistemic hyperintensions based on Voevodsky's Univalence Axiom and function type equivalence in Homotopy Type Theory. I apply, further, modal rationalism in modal epistemology to solve the access problem. Epistemic possibility and hyperintensionality, i.e. conceivability, can be a guide to metaphysical possibility and hyperintensionality, when (i) epistemic worlds or epistemic hyperintensional states are interpreted as being (...)
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  • Hale’s argument from transitive counting.Eric Snyder, Richard Samuels & Stewart Shaprio - 2019 - Synthese 198 (3):1905-1933.
    A core commitment of Bob Hale and Crispin Wright’s neologicism is their invocation of Frege’s Constraint—roughly, the requirement that the core empirical applications for a class of numbers be “built directly into” their formal characterization. According to these neologicists, if legitimate, Frege’s Constraint adjudicates in favor of their preferred foundation—Hume’s Principle—and against alternatives, such as the Dedekind–Peano axioms. In this paper, we consider a recent argument for legitimating Frege’s Constraint due to Hale, according to which the primary empirical application of (...)
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  • Bob Hale. Essence and Existence: Selected Essays.Øystein Linnebo - 2021 - Philosophia Mathematica 29 (3):420-427.
    Essence and Existence: Selected Essays brings together fifteen essays by Bob Hale, mostly written between the publication of his last book, Necessary Beings, in.
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  • Aristotle’s Explanationist Epistemology of Essence.Christopher Hauser - 2019 - Metaphysics 2 (1):26-39.
    Essentialists claim that at least some individuals or kinds have essences. This raises an important but little-discussed question: how do we come to know what the essence of something is? This paper examines Aristotle’s answer to this question. One influential interpretation (viz., the Explanationist Interpretation) is carefully expounded, criticized, and then refined. Particular attention is given to what Aristotle says about this issue in DA I.1, APo II.2, and APo II.8. It is argued that the epistemological claim put forward in (...)
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  • Abstracta and Possibilia: Hyperintensional Foundations of Mathematical Platonism.Timothy Bowen - manuscript
    This paper aims to provide hyperintensional foundations for mathematical platonism. I examine Hale and Wright's (2009) objections to the merits and need, in the defense of mathematical platonism and its epistemology, of the thesis of Necessitism. In response to Hale and Wright's objections to the role of epistemic and metaphysical modalities in providing justification for both the truth of abstraction principles and the success of mathematical predicate reference, I examine the Necessitist commitments of the abundant conception of properties endorsed by (...)
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  • Generality.Nils Kürbis - 2022 - In Nils Kürbis, Bahram Assadian & Jonathan Nassim (eds.), Knowledge, Number and Reality: Encounters with the Work of Keith Hossack. London: Bloomsbury. pp. 161-176.
    Hossack's 'The Metaphysics of Knowledge' develops a theory of facts, entities in which universals are combined with universals or particulars, as the foundation of his metaphysics. While Hossack argues at length that there must be negative facts, facts in which the universal 'negation' is combined with universals or particulars, his conclusion that there are also general facts, facts in which the universal 'generality' is combined with universals, is reached rather more swiftly. In this paper I present Hossack with three arguments (...)
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  • Contemporary (Analytic Tradition).Robert Michels - 2024 - In Kathrin Koslicki & Michael J. Raven (eds.), The Routledge Handbook of Essence in Philosophy. Routledge.
    This paper provides an overview of the history of the notion of essence in 20th century analytic philosophy, focusing on views held by influential analytic philosophers who discussed, or relied on essence or cognate notions in their works. It in particular covers Russell and Moore’s different approaches to essence before and after breaking with British idealism, the (pre- and post-)logical positivists’ critique of metaphysics and rejection of essence (Wittgenstein, Carnap, Schlick, Stebbing), the tendency to loosen the notion of logical necessity (...)
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  • A Defense of Hume's Dictum.Cameron Gibbs - 2019 - Dissertation, University of Massachusetts Amherst
    Is the world internally connected by a web of necessary connections or is everything loose and independent? Followers of David Hume accept the latter by upholding Hume’s Dictum, according to which there are no necessary connections between distinct existences. Roughly put, anything can coexist with anything else, and anything can fail to coexist with anything else. Hume put it like this: “There is no object which implies the existence of any other if we consider these objects in themselves.” Since Hume’s (...)
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  • Formal Causes for Powers Theorists.Giacomo Giannini & Stephen Mumford - 2021 - In Ludger Jansen & Petter Sandstad (eds.), Neo-Aristotelian Perspectives on Formal Causation. Abingdon, Oxon: Routledge. pp. 87-106.
    In this paper we examine whether and how powers ontologies can back formal causation. We attempt to answer three questions: i) what is formal causation; ii) whether we need formal causation, and iii) whether formal causation need powers and whether it can be grounded in powers. We take formal causal explanations to be explanations in which something's essence features prominently in the explanans. Three kinds of essential explanations are distinguished: constitutive, consequential, and those singling out something's propria. This last kind (...)
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  • Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.
    Presenting the first comprehensive, in-depth study of hyperintensionality, this book equips readers with the basic tools needed to appreciate some of current and future debates in the philosophy of language, semantics, and metaphysics. After introducing and explaining the major approaches to hyperintensionality found in the literature, the book tackles its systematic connections to normativity and offers some contributions to the current debates. The book offers undergraduate and graduate students an essential introduction to the topic, while also helping professionals in related (...)
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  • Forms of Luminosity.Hasen Khudairi - 2017
    This dissertation concerns the foundations of epistemic modality. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The dissertation demonstrates how phenomenal consciousness and gradational possible-worlds models in Bayesian perceptual psychology relate to epistemic modal space. The dissertation demonstrates, then, how epistemic modality relates to the computational theory of mind; metaphysical modality; deontic modality; logical modality; the types of mathematical modality; to the (...)
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  • Against the reduction of modality to essence.Nathan Wildman - 2018 - Synthese (Suppl 6):1-17.
    It is a truth universally acknowledged that a claim of metaphysical modality, in possession of good alethic standing, must be in want of an essentialist foundation. Or at least so say the advocates of the reductive-essence-first view, according to which all modality is to be reductively defined in terms of essence. Here, I contest this bit of current wisdom. In particular, I offer two puzzles—one concerning the essences of non-compossible, complementary entities, and a second involving entities whose essences are modally (...)
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  • A Note on Lange on Contingent Necessity-Makers.Nathan Wildman - 2019 - Erkenntnis 86 (3):763-771.
    Lange has argued that contingencies lack the modal strength to be necessity-makers. Here, I argue that Lange’s case turns upon a faulty premise, and that there is no obvious fixes he might pursue. The general upshot is that his argument gives us no reason to think that contingencies could not be necessity-makers after all.
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  • A Note on Morato on Modality and Explanation.Nathan Wildman - 2017 - Erkenntnis 82 (5):967-974.
    This brief note critically assesses the central arguments in Morato’s recent contribution to the growing literature on Blackburn’s dilemma about necessity. In particular, I demonstrate that neither of Morato’s two novel reconstructions of the dilemma’s contingency horn succeed, since both turn on false premises; and, Morato fails to adequately motivate his own response to these reconstructions. The upshot is that Morato has set himself a pair of flawed problems, then offered a flawed solution.
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  • Hale’s Deflationary Conception of Properties and Frege’s Theorem.Eduardo Villanueva - 2020 - Analysis 80 (3):583-594.
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  • Essence, Potentiality, and Modality.Barbara Vetter - 2021 - Mind 130 (519):833-861.
    According to essentialism, metaphysical modality is founded in the essences of things, where the essence of a thing is roughly akin to its real definition. According to potentialism (also known as dispositionalism), metaphysical modality is founded in the potentialities of things, where a potentiality is roughly the generalized notion of a disposition. Essentialism and potentialism have much in common, but little has been written about their relation to each other. The aim of this paper is to understand better the relations (...)
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  • The epistemology of modality and the problem of modal epistemic friction.Anand Jayprakash Vaidya & Michael Wallner - 2021 - Synthese 198 (Suppl 8):1909-1935.
    There are three theories in the epistemology of modality that have received sustained attention over the past 20 years: conceivability-theory, counterfactual-theory, and deduction-theory. In this paper we argue that all three face what we call the problem of modal epistemic friction. One consequence of the problem is that for any of the three accounts to yield modal knowledge, the account must provide an epistemology of essence. We discuss an attempt to fend off the problem within the context of the internalism (...)
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  • The laws of modality.Matthew Tugby - 2022 - Philosophical Studies 179 (8):2597-2618.
    Nomic realists have traditionally put laws to work within a theory of natural modality, in order to provide a metaphysical source for causal necessitation, counterfactuals, and dispositions. However, laws are well-suited to perform other work as well. Necessitation is a widespread phenomenon and includes cases of categorial, conceptual, grounding, mathematical and normative necessitation. A permissive theory of universals allows us to extend nomic realism into these other domains. With a particular focus on grounding necessitation, it is argued that the sorts (...)
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  • The concept horse with no name.Robert Trueman - 2015 - Philosophical Studies 172 (7):1889-1906.
    In this paper I argue that Frege’s concept horse paradox is not easily avoided. I do so without appealing to Wright’s Reference Principle. I then use this result to show that Hale and Wright’s recent attempts to avoid this paradox by rejecting or otherwise defanging the Reference Principle are unsuccessful.
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  • The Epistemology of Modality.Margot Strohminger & Juhani Yli-Vakkuri - 2017 - Analysis 77 (4):825-838.
    This article surveys recent developments in the epistemology of modality.
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  • Perceptual Knowledge of Nonactual Possibilities.Margot Strohminger - 2015 - Philosophical Perspectives 29 (1):363-375.
    It is widely assumed that sense perception cannot deliver knowledge of nonactual (metaphysical) possibilities. We are not supposed to be able to know that a proposition p is necessary or that p is possible (if p is false) by sense perception. This paper aims to establish that the role of sense perception is not so limited. It argues that we can know lots of modal facts by perception. While the most straightforward examples concern possibility and contingency, others concern necessity and (...)
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  • Husserlian Essentialism.Nicola Spinelli - 2021 - Husserl Studies 37 (2):147-168.
    Husserl’s official account of essence is modal. It is also, I submit, incompatible with the role that essence is supposed to play, especially relative to necessity, in his overall philosophy. In the Husserlian framework, essence should rather be treated as a non-modal notion. The point, while not generally acknowledged, has been made before (by Kevin Mulligan for one); yet the arguments given for it, though perhaps sound, are not Husserlian. In this paper I present a thoroughly Husserlian argument for that (...)
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  • In Defence of Hybrid Contingentism.Lukas Skiba - 2022 - Philosophers' Imprint 22 (4):1-30.
    Hybrid contingentism combines first-order contingentism, the view that it is contingent what individuals there are, with higher-order necessitism, the view that it is non-contingent what properties and propositions there are (where these are conceived as entities in the range of appropriate higher-order quantifiers). This combination of views avoids the most delicate problems afflicting alternative contingentist positions while preserving the central contingentist claim that ordinary, concrete entities exist contingently. Despite these attractive features, hybrid contingentism is usually faced with rejection. The main (...)
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  • Non-uniformism and the Epistemology of Philosophically Interesting Modal Claims.Ylwa Sjölin Wirling - 2021 - Grazer Philosophische Studien 98 (4):629-656.
    Philosophers often make exotic-sounding modal claims, such as: “A timeless world is impossible”, “The laws of physics could have been different from what they are”, “There could have been an additional phenomenal colour”. Otherwise popular empiricist modal epistemologies in the contemporary literature cannot account for whatever epistemic justification we might have for making such modal claims. Those who do not, as a result of this, endorse scepticism with respect to their epistemic status typically suggest that they can be justified but (...)
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  • An Integrative Design? How liberalised modal empiricism fails the integration challenge.Ylwa Sjölin Wirling - 2021 - Synthese 198 (6):5655-5673.
    The idea that justified modal belief can be accounted for in terms of empirically justified, non-modal belief is enjoying increasing popularity in the epistemology of modality. One alleged reason to prefer modal empiricism over more traditional, rationalist modal epistemologies is that empiricism avoids the problem with the integration challenge that arise for rationalism, assuming that we want to be realists about modal metaphysics. In this paper, I argue that given two very reasonable constraints on what it means to meet the (...)
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  • Singular Terms Revisited.Robert Schwartzkopff - 2016 - Synthese 193 (3).
    Neo-Fregeans take their argument for arithmetical realism to depend on the availability of certain, so-called broadly syntactic tests for whether a given expression functions as a singular term. The broadly syntactic tests proposed in the neo-Fregean tradition are the so-called inferential test and the Aristotelian test. If these tests are to subserve the neo-Fregean argument, they must be at least adequate, in the sense of correctly classifying paradigm cases of singular terms and non-singular terms. In this paper, I pursue two (...)
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  • Naming the concept horse.Michael Price - 2016 - Philosophical Studies 173 (10):2727-2743.
    Frege’s rejection of singular reference to concepts is centrally implicated in his notorious paradox of the concept horse. I distinguish a number of claims in which that rejection might consist and detail the dialectical difficulties confronting the defense of several such claims. Arguably the least problematic such claim—that it is simply nonsense to say that a concept can be referred to with a singular term—has recently received a novel defense due to Robert Trueman. I set out Trueman’s argument for this (...)
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  • Truth, Predication and a Family of Contingent Paradoxes.Francesco Orilia & Gregory Landini - 2019 - Journal of Philosophical Logic 48 (1):113-136.
    In truth theory one aims at general formal laws governing the attribution of truth to statements. Gupta’s and Belnap’s revision-theoretic approach provides various well-motivated theories of truth, in particular T* and T#, which tame the Liar and related paradoxes without a Tarskian hierarchy of languages. In property theory, one similarly aims at general formal laws governing the predication of properties. To avoid Russell’s paradox in this area a recourse to type theory is still popular, as testified by recent work in (...)
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  • Linguistic Conventionalism and the Truth-Contrast Thesis.Fredrik Nyseth - 2021 - Philosophical Quarterly 71 (2):264-285.
    According to linguistic conventionalism, necessities are to be explained in terms of the conventionally adopted rules that govern the use of linguistic expressions. A number of influential arguments against this view concerns the ‘Truth-Contrast Thesis’. This is the claim that necessary truths are fundamentally different from contingent ones since they are not made true by ‘the facts’. Instead, they are supposed to be something like ‘true in virtue of meaning’. This thesis is widely held to be a core commitment of (...)
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  • How Science and Semantics Settle the Issue of Natural Kind Essentialism.Christian Nimtz - 2018 - Erkenntnis 86 (1):149-170.
    Standard arguments for essentialism with respect to natural kinds such as gold, star, water or tiger enlist essentialist principles or essentialist intuitions. I argue that we need neither. All it takes to establish essentialism for the kinds in question are insights from science and semantics. Semantics establishes that natural kind predicates such as “is gold” or “is a star” are paradigm terms whose application conditions are relationally determined, object involving, and actuality dependent. Science assures us that a posteriori hypotheses such (...)
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  • Hale on the Absoluteness of Logical Necessity.Hashem Morvarid - 2017 - Acta Analytica 32 (1):1-11.
    Hale has argued that logical necessities are absolute in the sense that there is no competing kind of modality under which they may be false. In this paper, I argue that there are competing kinds of modality, which I call “essentialist modalities,” under which logical necessities may be false. Since it is counter-intuitive to say that logical necessities are not absolute, my argument, if correct, shows that Hale’s characterization of absolute necessity does not adequately capture the intuitive notion of absolute (...)
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  • Essence and logical properties.Hashem Morvarid - 2019 - Philosophical Studies 176 (11):2897-2917.
    Since Kit Fine presented his counter-examples to the standard versions of the modal view, many have been convinced that the standard versions of the modal view are not adequate. However, the scope of Fine's argument has not been fully appreciated. In this paper, I aim to carry Fine’s argument to its logical conclusion and argue that once we embrace the intuition underlying his counter-examples, we have to hold that properties obtained, totally or partially, by application of logical operations are not (...)
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  • Theories as recipes: third-order virtue and vice.Michaela Markham McSweeney - 2020 - Philosophical Studies 177 (2):391-411.
    A basic way of evaluating metaphysical theories is to ask whether they give satisfying answers to the questions they set out to resolve. I propose an account of “third-order” virtue that tells us what it takes for certain kinds of metaphysical theories to do so. We should think of these theories as recipes. I identify three good-making features of recipes and show that they translate to third-order theoretical virtues. I apply the view to two theories—mereological universalism and plenitudinous platonism—and draw (...)
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  • A defense of modal appearances.C. A. McIntosh - 2020 - International Journal for Philosophy of Religion 89 (3):243-261.
    I argue that beliefs about what appears possible are justified in much the same way as beliefs about what appears actual. I do so by chisholming, and then modalizing, the epistemic principle associated with phenomenal conservatism. The principle is tested against a number of examples, and it gives the intuitively correct results. I conclude by considering how it can be used to defend two controversial modal arguments, a Cartesian argument for dualism and an ontological argument for the existence of God.
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  • Existence Is Not Relativistically Invariant—Part 1: Meta-ontology.Florian Marion - 2024 - Acta Analytica 39:1-25.
    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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  • Two Notions of Metaphysical Modality.Antonella Mallozzi - 2018 - Synthese (Suppl 6):1-22.
    The paper explores the project of an ambitious modal epistemology that attempts to combine the a priori methods of Chalmers’ 2D semantics with Kripke’s modal metaphysics. I argue that such a project is not viable. The ambitious modal epistemology involves an inconsistent triad composed of (1) Modal Monism, (2) Two-Dimensionalism, and what I call (3) “Metaphysical Kripkeanism”. I present the three theses and show how only two of those can be true at a time. There is a fundamental incompatibility between (...)
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  • Superexplanations for counterfactual knowledge.Antonella Mallozzi - 2020 - Philosophical Studies 178 (4):1315-1337.
    I discuss several problems for Williamson’s counterfactual-theory of modal knowledge and argue that they have a common source, in that the theory neglects to elucidate the proper constraints on modal reasoning. Williamson puts forward an empirical hypothesis that rests on the role of counterfactual reasoning for modal knowledge. But he overlooks central questions of normative modal epistemology. In order for counterfactual reasoning to yield correct beliefs about modality, it needs to be suitably constrained. I argue that what is needed is, (...)
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  • Putting Modal Metaphysics First.Antonella Mallozzi - 2018 - Synthese (Suppl 8):1-20.
    I propose that we approach the epistemology of modality by putting modal metaphysics first and, specifically, by investigating the metaphysics of essence. Following a prominent Neo-Aristotelian view, I hold that metaphysical necessity depends on the nature of things, namely their essences. I further clarify that essences are core properties having distinctive superexplanatory powers. In the case of natural kinds, which is my focus in the paper, superexplanatoriness is due to the fact that the essence of a kind is what causes (...)
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  • New Directions in the Epistemology of Modality: Introduction.Antonella Mallozzi - 2021 - Synthese 198 (Suppl 8):1841-1859.
    The fourteen papers in this collection offer a variety of original contributions to the epistemology of modality. In seeking to explain how we might account for our knowledge of possibility and necessity, they raise some novel questions, develop some unfamiliar theoretical perspectives, and make some intriguing proposals. Collectively, they advance our understanding of the field. In Part I of this Introduction, I give some general background about the contemporary literature in the area, by sketching a timeline of the main tendencies (...)
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  • In defence of modal essentialism.Jonathan Livingstone-Banks - 2017 - Inquiry: An Interdisciplinary Journal of Philosophy 60 (8):816-838.
    Kit Fine’s arguments in Essence and Modality are widely accepted as being a decisive blow against modal essentialism. A selection of replies exist that have done little to counter the general view that modally construed essence is out of touch with what we really mean when we make essentialist claims. I argue that Fine’s arguments fail to strike a decisive blow, and I suggest a new interpretation of the debate that shows why Fine’s arguments fall short of achieving their goal.
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  • Should a higher-order metaphysician believe in properties?David Liggins - 2021 - Synthese 199 (3-4):10017-10037.
    In this paper I take second order-quantification to be a sui generis form of quantification, irreducible to first-order quantification, and I examine the implications of doing so for the debate over the existence of properties. Nicholas K. Jones has argued that adding sui generis second-order quantification to our ideology is enough to establish that properties exist. I argue that Jones does not settle the question of whether there are properties because—like other ontological questions—it is first-order. Then I examine three of (...)
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  • The Varieties of (Relative) Modality.Jessica Leech - 2015 - Pacific Philosophical Quarterly 97 (2).
    In ‘The Varieties of Necessity’ Fine presents purported counterexamples to the view that a proposition is a naturally necessary truth if and only if it is logically necessary relative to or conditional upon the basic truths about the status and distribution of natural kinds, properties and relations. The aim of this article is to defend the view that natural necessity is relative necessity, and the general idea that we can define other kinds of necessity as relative, against Fine's criticisms.
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  • The function of modal judgment and the Kantian gap.Jessica Leech - 2018 - Synthese 198 (Suppl 13):3193-3212.
    What is the function of modal judgment? Why do we make judgments of possibility and necessity? Or are such judgments, in fact, dispensable? This paper introduces and develops an answer to these questions based on Kant’s remarks in section 76 of the Critique of Judgment. Here, Kant appears to argue the following: that a capacity to make modal judgments using modal concepts is required for a capacity for objective representation, in light of our split cognitive architecture. This split cognitive architecture (...)
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  • Ruth Barcan Marcus and Minimal Essentialism.Jessica Leech - 2023 - Ratio 36 (4):289-305.
    Since the publication of Kit Fine's “Essence and Modality”, there has been lively debate over how best to think of essence in relation to necessity. The present aim is to draw attention to a definition of essence in terms of modality that has not been given sufficient attention. This neglect is perhaps unsurprising, since it is not a proposal made in response to Fine's 1994 paper and ensuing discussion, but harks back to Ruth Barcan Marcus's earlier work in the 1960s (...)
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  • Potentiality.Jessica Leech - 2017 - Analysis 77 (2):457-467.
    Vetter's Potentiality is an exposition and development of a new account of possibility and necessity, given in terms of potentialities. In this critical notice, I give an outline of some of the key claims of the book. I then raise some issues for the extent to which Vetter's view can accommodate genuine de re modalities, especially those of possible existence and non-existence.
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  • Essence and modal knowledge.Boris Kment - 2018 - Synthese 198 (Suppl 8):1957-1979.
    During the last quarter of a century, a number of philosophers have become attracted to the idea that necessity can be analyzed in terms of a hyperintensional notion of essence. One challenge for proponents of this view is to give a plausible explanation of our modal knowledge. The goal of this paper is to develop a strategy for meeting this challenge. My approach rests on an account of modality that I developed in previous work, and which analyzes modal properties in (...)
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  • Modal Objectivity.Clarke-Doane Justin - 2019 - Noûs 53:266-295.
    It is widely agreed that the intelligibility of modal metaphysics has been vindicated. Quine's arguments to the contrary supposedly confused analyticity with metaphysical necessity, and rigid with non-rigid designators.2 But even if modal metaphysics is intelligible, it could be misconceived. It could be that metaphysical necessity is not absolute necessity – the strictest real notion of necessity – and that no proposition of traditional metaphysical interest is necessary in every real sense. If there were nothing otherwise “uniquely metaphysically significant” about (...)
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  • Unrestricted Quantification and the Structure of Type Theory.Salvatore Florio & Nicholas K. Jones - 2021 - Philosophy and Phenomenological Research 102 (1):44-64.
    Semantic theories based on a hierarchy of types have prominently been used to defend the possibility of unrestricted quantification. However, they also pose a prima facie problem for it: each quantifier ranges over at most one level of the hierarchy and is therefore not unrestricted. It is difficult to evaluate this problem without a principled account of what it is for a quantifier to be unrestricted. Drawing on an insight of Russell’s about the relationship between quantification and the structure of (...)
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  • How to Unify.Nicholas K. Jones - 2018 - Ergo: An Open Access Journal of Philosophy 5.
    This paper evaluates the argument for the contradictoriness of unity, that be- gins Priest’s recent book One. The argument is seen to fail because it does not adequately differentiate between different forms of unity. This diagnosis of the argument’s failure is used as a basis for two consistent accounts of unity. The paper concludes by arguing that reality contains two absolutely fundamental and unanalysable forms of unity, which are in principle presupposed by any theory of anything. These fundamental forms of (...)
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