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Modal Logic as Metaphysics

Oxford, England: Oxford University Press (2013)

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  1. Williamsonian modal epistemology, possibility-based.Barbara Vetter - 2016 - Canadian Journal of Philosophy 46 (4-5):766-795.
    Williamsonian modal epistemology is characterized by two commitments: realism about modality, and anti-exceptionalism about our modal knowledge. Williamson’s own counterfactual-based modal epistemology is the best known implementation of WME, but not the only option that is available. I sketch and defend an alternative implementation which takes our knowledge of metaphysical modality to arise, not from knowledge of counterfactuals, but from our knowledge of ordinary possibility statements of the form ‘x can F’. I defend this view against a criticism indicated in (...)
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  • Modality and Paradox.Gabriel Uzquiano - 2015 - Philosophy Compass 10 (4):284-300.
    Philosophers often explain what could be the case in terms of what is, in fact, the case at one possible world or another. They may differ in what they take possible worlds to be or in their gloss of what is for something to be the case at a possible world. Still, they stand united by the threat of paradox. A family of paradoxes akin to the set-theoretic antinomies seem to allow one to derive a contradiction from apparently plausible principles. (...)
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  • Quantification, Inference, and Ontology.Gabriel Uzquiano - 2018 - Analysis 78 (2):303-315.
    Thomas Hofweber has written a very rich book. In line with the conviction that ontology should be informed by linguistic considerations, he develops a systematic approach to central ontological questions as they arise in different regions of discourse. More generally, the book seeks to cast light upon the nature of ontology and its proper place in enquiry. His preferred methodology is not without consequence: it promises, for example, to solve what otherwise look like intractable philosophical puzzles raised by arithmetical practice (...)
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  • Is Objectual Identity Really Dispensable?Eric T. Updike - 2019 - Erkenntnis 84 (4):761-782.
    Kai Wehmeier’s Wittgensteinian Predicate Logic is a formulation of first-order logic under the exclusive interpretation of the quantifiers. W-logic has a distinguished relation constant for co-reference but no sign for objectual identity. Wehmeier denies that objectual identity exists on the grounds that it cannot be a genuine binary relation. Fortunately W-logic is equi-expressive with standard first-order logic with identity and it appears that objectual identity is dispensable across the broader logical enterprise. This paper challenges the latter claim as objectual identity (...)
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  • Continuants, identity and essentialism.Nicholas Unwin - 2020 - Synthese 197 (8):3375-3394.
    The question of whether it is permissible to quantify into a modal context is re-examined from an empiricist perspective. Following Wiggins, it is argued that an ontology of continuants implies essentialism, but it is also argued, against Wiggins, that the only conception of necessity that we need to start out with is that of analyticity. Essentialism, of a limited kind, can then be actually generated from this. An exceptionally fine-grained identity criterion for continuants is defended in this context. The debate (...)
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  • Hi-individuals and Where to Find Them—Towards a Hi-world Semantics for Quantified Modal Logic.Cheng-Chih Tsai - 2020 - Acta Analytica 35 (2):165-179.
    If to be is to be the value of a bound variable, then the acknowledgment and denial of the existence of chairs amounts to a serious disagreement about the range of a quantifier. However, by resorting to the intrinsic hierarchical structure of hi-world semantics, we find that the varying of domains from worlds to worlds can actually be accommodated within a unified framework. With the introduction of a universal domain D of hi-individuals and an existence predicate E that serves as (...)
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  • Idealism and the Identity Theory of Truth.Robert Trueman - 2020 - Mind 130 (519):783-807.
    In a recent article, Hofweber presents a new, and surprising, argument for idealism. His argument is surprising because it starts with an apparently innocent premiss from the philosophy of language: that ‘that’-clauses do not refer. I do not think that Hofweber's argument works, and my first aim in this paper is to explain why. However, I agree with Hofweber that what we say about ‘that’-clauses has important metaphysical consequences. My second aim is to argue that, far from leading us into (...)
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  • Speaking of Essence.Alessandro Torza - 2015 - Philosophical Quarterly:754-771.
    Classical modalism about essence is the view that essence can be analysed in modal terms. Despite Kit Fine's influential critique, no general refutation of classical modalism has yet been given. In the first part of the paper, I provide such a refutation by showing that the notion of essence cannot be analysed in terms of any sentential operator definable in the language of standard quantified modal logic. As a reaction to Fine's critique, some have defended sophisticated modalism, which attempts to (...)
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  • Ground and modality.Alessandro Torza - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (6):563-585.
    The grounding relation is routinely characterized by means of logical postulates. The aim of this paper is twofold. First, I show that a subset of those postulates is incompatible with a minimal characterization of metaphysical modality. Then I consider a number of ways for reconciling ground with modality. The simplest and most elegant solution consists in adopting serious actualism, which is best captured within a first-order modal language with predicate abstraction governed by negative free logic. I also explore a number (...)
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  • Holes in Spacetime: Some Neglected Essentials.Trevor Teitel - 2019 - Journal of Philosophy 116 (7):353-389.
    The hole argument purports to show that all spacetime theories of a certain form are indeterministic, including the General Theory of Relativity. The argument has given rise to an industry of searching for a metaphysics of spacetime that delivers the right modal implications to rescue determinism. In this paper, I first argue that certain prominent extant replies to the hole argument—namely, those that appeal to an essentialist doctrine about spacetime—fail to deliver the requisite modal implications. As part of my argument, (...)
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  • How to Be a Spacetime Substantivalist.Trevor Teitel - 2022 - Journal of Philosophy 119 (5):233-278.
    The consensus among spacetime substantivalists is to respond to Leibniz's classic shift arguments, and their contemporary incarnation in the form of the hole argument, by pruning the allegedly problematic metaphysical possibilities that generate these arguments. Some substantivalists do so by directly appealing to a modal doctrine akin to anti-haecceitism. Other substantivalists do so by appealing to an underlying hyperintensional doctrine that implies some such modal doctrine. My first aim in this paper is to pose a challenge for all extant forms (...)
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  • The Rotten Core of Presentism.Jonathan Tallant & David Ingram - 2021 - Synthese 199 (1-2):3969-3991.
    Recently, some have attempted to reformulate debates in first-order metaphysics, particularly in the metaphysics of time and modality, for reasons due to Williamson. In this paper, we focus on the ways in which the likes of Cameron, Correia and Rosenkranz, Deasy, Ingram, Tallant, Viebahn, inter alia, have initiated and responded to attempts to capture the core of presentism using a formal, logical machinery. We argue that such attempts are doomed to fail because there is no theoretical core to presentism. There (...)
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  • Presentism Remains.Jonathan Tallant - 2019 - Erkenntnis 84 (2):409-435.
    Here I examine some recent attempts to provide a new way of thinking about the philosophy of time that question the central role of ‘presentness’ within the definition of presentism. The central concern raised by these critics turns on the intelligibility and theoretical usefulness of the term ‘is present’. My overarching aim is to at least challenge such concerns. I begin with arguments due to Deasy. Deasy develops a view that he calls ‘transientism’ and that he takes to be a (...)
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  • Modal Logic as Methodology.Meghan Sullivan - 2014 - Philosophy and Phenomenological Research 88 (3):734-743.
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  • An A-theory without tense operators.Meghan Sullivan - 2016 - Canadian Journal of Philosophy 46 (4-5):735-758.
    A-theorists think there is a fundamental difference between the present and other times. This concern shows up in what kinds of properties they take to be instantiated, what objects they think exist and how they formalize their views. Nearly every contemporary A-theorist assumes that her metaphysics requires a tense logic – a logic with operators like and. In this paper, I show that there is at least one viable A-theory that does not require a logic with tense operators. And I (...)
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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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  • An Argument for Existentialism.Yannis Stephanou - 2020 - Acta Analytica 35 (4):507-520.
    Existentialism about propositions is the view that a proposition expressed in a sentence containing a nonempty name or indexical depends ontologically on the referent of the name or indexical: the proposition could not exist if the referent did not. The paper focuses on names. It discusses some arguments for existentialism and then presents a novel one. That argument does not presuppose that propositions have constituents, and it could be accepted by those who hold broadly Fregean views about names. It shows (...)
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  • The Potential in Frege’s Theorem.Will Stafford - 2023 - Review of Symbolic Logic 16 (2):553-577.
    Is a logicist bound to the claim that as a matter of analytic truth there is an actual infinity of objects? If Hume’s Principle is analytic then in the standard setting the answer appears to be yes. Hodes’s work pointed to a way out by offering a modal picture in which only a potential infinity was posited. However, this project was abandoned due to apparent failures of cross-world predication. We re-explore this idea and discover that in the setting of the (...)
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  • Models and reality.Robert Stalnaker - 2016 - Canadian Journal of Philosophy 46 (4-5):709-726.
    Kripke models, interpreted realistically, have difficulty making sense of the thesis that there might have existed things that do not in fact exist, since a Kripke model in which this thesis is true requires a model structure in which there are possible worlds with domains that contain things that do not exist. This paper argues that we can use Kripke models as representational devices that allow us to give a realistic interpretation of a modal language. The method of doing this (...)
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  • The moving spotlight(s).Giuseppe Spolaore & Giuliano Torrengo - 2021 - Inquiry: An Interdisciplinary Journal of Philosophy 64 (7):754-771.
    The moving spotlight account (MS) is a view that combines an eternalist ontology and an A-theoretic metaphysics. The intuition underlying MS is that the present time is somehow privileged and experientially vivid, as if it were illuminated by a moving spotlight. According to MS-theorists, a key reason to prefer MS to B-theoretic eternalism is that our experience of time supports it. We argue that this is false. To this end, we formulate a new family of positions in the philosophy of (...)
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  • Unnecessary existents.Joshua Spencer - 2013 - Canadian Journal of Philosophy 43 (5-6):766-775.
    Timothy Williamson has argued for the radical conclusion that everything necessarily exists. In this paper, I assume that the conclusion of Williamson’s argument is more incredible than the denial of his premises. Under the assumption that Williamson is mistaken, I argue for the claim that there are some structured propositions which have constituents that might not have existed. If those constituents had not existed, then the propositions would have had an unfilled role; they would have been gappy. This gappy propositions (...)
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  • Temporal Ontology and the Metaphysics of Perspectives.Olla Solomyak - 2020 - Erkenntnis 85 (2):431-453.
    The question of what exists is often seen as one of the metaphysician’s primary concerns—an ontological stance is a central and basic component of a great many positions in metaphysics. Consider, in particular, the debate surrounding the metaphysics of time: the question of whether non-present entities exist is typically thought of as one of the fundamental issues at stake in the debate, with each position on the nature of time consisting in part of an answer to this question of ontology. (...)
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  • Higher‐order metaphysics.Lukas Skiba - 2021 - Philosophy Compass 16 (10):1-11.
    Subverting a once widely held Quinean paradigm, there is a growing consensus among philosophers of logic that higher-order quantifiers (which bind variables in the syntactic position of predicates and sentences) are a perfectly legitimate and useful instrument in the logico-philosophical toolbox, while neither being reducible to nor fully explicable in terms of first-order quantifiers (which bind variables in singular term position). This article discusses the impact of this quantificational paradigm shift on metaphysics, focussing on theories of properties, propositions, and identity, (...)
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  • Higher-order metaphysics and the tropes versus universals dispute.Lukas Skiba - 2021 - Philosophical Studies 178 (9):2805-2827.
    Higher-order realists about properties express their view that there are properties with the help of higher-order rather than first-order quantifiers. They claim two types of advantages for this way of formulating property realism. First, certain gridlocked debates about the nature of properties, such as the immanentism versus transcendentalism dispute, are taken to be dissolved. Second, a further such debate, the tropes versus universals dispute, is taken to be resolved. In this paper I first argue that higher-order realism does not in (...)
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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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  • On Williamson and simplicity in modal logic.Theodore Sider - 2016 - Canadian Journal of Philosophy 46 (4-5):683-698.
    According to Timothy Williamson, we should accept the simplest and most powerful second-order modal logic, and as a result accept an ontology of "bare possibilia". This general method for extracting ontology from logic is salutary, but its application in this case depends on a questionable assumption: that modality is a fundamental feature of the world.
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  • What is logical deflationism? Two non-metalinguistic conceptions of logic.Lionel Shapiro - 2022 - Synthese 200 (1):1-28.
    This paper compares two ways of holding that logic is special among the sciences in that it has no restricted class of entities as its subject matter, but instead concerns all entities alike. One way is Williamson’s explanation of how inquiry into logical consequence and logical truth only superficially concerns the linguistic or conceptual entities that bear these properties. Williamson draws on ideas familiar from deflationism about truth, and his account has been called “deflationary.” I argue that the analogy is (...)
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  • Logical pluralism and normativity.Stewart Shapiro & Teresa Kouri Kissel - 2020 - Inquiry: An Interdisciplinary Journal of Philosophy 63 (3-4):389-410.
    We are logical pluralists who hold that the right logic is dependent on the domain of investigation; different logics for different mathematical theories. The purpose of this article is to explore the ramifications for our pluralism concerning normativity. Is there any normative role for logic, once we give up its universality? We discuss Florian Steingerger’s “Frege and Carnap on the Normativity of Logic” as a source for possible types of normativity, and then turn to our own proposal, which postulates that (...)
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  • Why Live Forever? What Metaphysics Can Contribute.Aaron Segal - 2018 - Erkenntnis 83 (2):185-204.
    I suggest a way in which metaphysics might cure us of our desire for immortality. Supposing that time is composed of instants, or even that time could be composed of instants, leads to the conclusion that there is nothing good that immortality offers, nothing we might reasonably want, that is in principle unavailable to a mere mortal. My argument proceeds in three stages. First, I suggest a necessary condition for a feature to ground the desirability of a life or a (...)
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  • Unrestricted quantification and ranges of significance.Thomas Schindler - 2022 - Philosophical Studies 180 (5):1579-1600.
    Call a quantifier ‘unrestricted’ if it ranges over absolutely all objects. Arguably, unrestricted quantification is often presupposed in philosophical inquiry. However, developing a semantic theory that vindicates unrestricted quantification proves rather difficult, at least as long as we formulate our semantic theory within a classical first-order language. It has been argued that using a type theory as framework for our semantic theory provides a resolution of this problem, at least if a broadly Fregean interpretation of type theory is assumed. However, (...)
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  • In defence of a logic for ‘because’.B. Schnieder - 2016 - Journal of Applied Non-Classical Logics 26 (2):160-171.
    The present author developed a calculus for the logic of ‘because’. In a recent paper in this journal, it has been claimed that the central inference rules for the logic are invalid and that the intuition upon which the rules are based is not accounted for. This note criticises these arguments and presents an independent argument in favour of the rules used in the logic.
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  • Frivolous Fictions.David Sanson - 2016 - Res Philosophica 93 (2):357-376.
    We want to say both that Sherlock Holmes does not exist, and that he is a fictional character. But how can we say these things without committing ourselves to the existence of Sherlock Holmes? Here I develop and defend a non-commital paraphrase of quantification over fictional characters, modeled on the non-commital paraphrase Kit Fine provides for quantification over possibilia. I also develop and defend the view that names for fictional characters are weakly non-referring, in Nathan Salmon’s sense, and so provide (...)
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  • Temporary Safety Hazards.Jeffrey Sanford Russell - 2016 - Noûs 50 (4):152-174.
    The Epistemic Objection says that certain theories of time imply that it is impossible to know which time is absolutely present. Standard presentations of the Epistemic Objection are elliptical—and some of the most natural premises one might fill in to complete the argument end up leading to radical skepticism. But there is a way of filling in the details which avoids this problem, using epistemic safety. The new version has two interesting upshots. First, while Ross Cameron alleges that the Epistemic (...)
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  • Qualitative Grounds.Jeffrey Sanford Russell - 2016 - Philosophical Perspectives 30 (1):309-348.
    Suppose that all non-qualitative facts are grounded in qualitative facts. I argue that this view naturally comes with a picture in which trans-world identity is indeterminate. But this in turn leads to either pervasive indeterminacy in the non-qualitative, or else contingency in what facts about modality and possible worlds are determinate.
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  • In Defence of No Best World.Daniel Rubio - 2020 - Australasian Journal of Philosophy (4):811-825.
    Recent work in the philosophy of religion has resurrected Leibniz’s idea that there is a best possible world, perhaps ours. In particular, Klaas Kraay’s [2010] construction of a theistic multiverse and Nevin Climenhaga’s [2018] argument from infinite value theory are novel defenses of a best possible world. I do not think that there is a best world, and show how both Kraay and Climenhaga may be resisted. First, I argue that Kraay’s construction of a theistic multiverse can be resisted from (...)
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  • Should Metaphysics Care About Linguistics?Tobias Rosefeldt - 2018 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 49 (2):161-178.
    Naturalized metaphysics is based on the idea that philosophy should be guided by the sciences. The paradigmatic science that is relevant for metaphysics is physics because physics tells us what fundamental reality is ultimately like. There are other sciences, however, that de facto play a role in philosophical inquiries about what there is, one of them being the science of language, i.e. linguistics. In this paper I will be concerned with the question what role linguistics should and does play for (...)
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  • Modality is Not Explainable by Essence.Carlos Romero - 2019 - Philosophical Quarterly 69 (274):121-141.
    Some metaphysicians believe that metaphysical modality is explainable by the essences of objects. In §II, I spell out the definitional view of essence, and in §III, a working notion of metaphysical explanation. Then, in §IV, I consider and reject five natural ways to explain necessity by essence: in terms of the principle that essential properties can't change, in terms of the supposed obviousness of the necessity of essential truth, in terms of the logical necessity of definitions, in terms of Fine's (...)
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  • Two morals about a modal paradox.Alexander Roberts - 2020 - Synthese 198 (10):9873-9896.
    Chisholm’s paradox serves as an important constraint on our modal theorising. For example, one lesson of the paradox is that widely accepted essentialist theses appear incompatible with metaphysical necessity obeying a logic that includes S4. However, this article cautions against treating Chisholm’s paradox in isolation, as a single line of reasoning. To this end, the article outlines two crucial morals about Chisholm’s paradox which situate the paradox within a broad family of paradoxes. Each moral places significant constraints on the paradox’s (...)
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  • Pluralities as Nothing Over and Above.Sam Roberts - 2022 - Journal of Philosophy 119 (8):405-424.
    This paper develops an account of pluralities based on the following simple claim: some things are nothing over and above the individual things they comprise. For some, this may seem like a mysterious statement, perhaps even meaningless; for others, like a truism, trivial and inferentially inert. I show that neither reaction is correct: the claim is both tractable and has important consequences for a number of debates in philosophy.
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  • Modal Expansionism.Alexander Roberts - 2019 - Journal of Philosophical Logic 48 (6):1145-1170.
    There are various well-known paradoxes of modal recombination. This paper offers a solution to a variety of such paradoxes in the form of a new conception of metaphysical modality. On the proposed conception, metaphysical modality exhibits a type of indefinite extensibility. Indeed, for any objective modality there will always be some further, broader objective modality; in other terms, modal space will always be open to expansion.
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  • The Ideal Observer Theory and Motivational Internalism.Daniel Rönnedal - 2015 - Kriterion - Journal of Philosophy 29 (1):79-98.
    In this paper I show that one version of motivational internalism follows from the so-called ideal observer theory. Let us call the version of the ideal observer theory used in this essay (IOT). According to (IOT), it is necessarily the case that it ought to be that A if and only if every ideal observer wants it to be the case that A. We shall call the version of motivational internalism that follows from (IOT) (moral) conditional belief motivational internalism (CBMI). (...)
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  • Why Contingentist Actualists Should Endorse the Barcan Formula.Nicholas Rimell - 2023 - Acta Analytica 38 (1):133-159.
    On its usual interpretation, the Barcan Formula—◊∃_xB_ → ∃_x_◊_B_—says that, if there could have been something that is such and such a way, then there is something that could have been that way. It is traditionally held that contingentist actualists should—indeed, must—reject the Barcan Formula. I argue that contingentist actualists should—indeed, must—endorse the Barcan Formula, at least assuming a standard, Tarskian conception of truth and truth preservation. I end by proposing a logic for contingentist actualists that validates the Barcan Formula. (...)
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  • Quick and Easy Recipes for Hypergunk.Patrick Reeder - 2020 - Australasian Journal of Philosophy 98 (1):178-191.
    I argue for the possibility of hypergunk: that is, it is possible that there exists an x such that every part of x has a proper part and, for any set S of parts of x, there is a set S′ of parts of...
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  • The World is the Totality of Facts, Not of Things.Agustín Rayo - 2017 - Philosophical Issues 27 (1):250-278.
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  • Nominalism, Trivialism, Logicism.Agustín Rayo - 2015 - Philosophia Mathematica 23 (1):nku013.
    This paper extracts some of the main theses in the philosophy of mathematics from my book, The Construction of Logical Space. I show that there are important limits to the availability of nominalistic paraphrase functions for mathematical languages, and suggest a way around the problem by developing a method for specifying nominalistic contents without corresponding nominalistic paraphrases. Although much of the material in this paper is drawn from the book — and from an earlier paper — I hope the present (...)
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  • Beta-Conversion and the Being Constraint.Agustín Rayo - 2021 - Aristotelian Society Supplementary Volume 95 (1):253-286.
    Modal contingentists face a dilemma: there are two attractive principles of which they can only accept one. In this paper I show that the most natural way of resolving the dilemma leads to expressive limitations. I then develop an alternative resolution. In addition to overcoming the expressive limitations, the alternative picture allows for an attractive account of arithmetic and for a style of semantic theorizing that can be helpful to contingentists.
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  • Single-domain free logic and the problem of compositionality.Dolf Rami - 2020 - Synthese 198 (10):9479-9523.
    In this paper, I will defend a new compositional semantics for single-domain free logic. This semantics makes use of a distinction between the semantic value of a singular term and its semantic referent. The semantic value of a singular term is conceived of as a set that either contains the semantic referent or no element at all. The semantic referent is the object that the term designates. Before I will introduce this new semantics for single-domain predicate and an S5-type modal (...)
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  • The Value of Existence.Wlodek Rabinowicz & Gustaf Arrhenius - 2015 - In Iwao Hirose & Jonas Olson (eds.), The Oxford Handbook of Value Theory. Oxford University Press USA. pp. 424-444.
    Can it be better or worse for a person to exist than not to exist at all? This old and challenging existential question has been raised anew in contemporary moral philosophy, mainly for two reasons. First, traditional “impersonal” ethical theories, such as utilitarianism, have counterintuitive implications in population ethics, for example, the repugnant conclusion. Second, it has seemed evident to many that an outcome can be better than another only if it is better for someone, and that only moral theories (...)
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  • Qualitative properties and relations.Jan Plate - 2022 - Philosophical Studies 179 (4):1297-1322.
    This paper is concerned with two concepts of qualitativeness that apply to intensional entities. I propose an account of pure qualitativeness that largely follows the traditional understanding established by Carnap, and try to shed light on its ontological presuppositions. On this account, an intensional entity is purely qualitative iff it does not ‘involve’ any particular. An alternative notion of qualitativeness—which I propose to refer to as a concept of strict qualitativeness—has recently been introduced by Chad Carmichael. However, Carmichael’s definition presupposes (...)
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  • Intrinsic properties and relations.Jan Plate - 2018 - Inquiry: An Interdisciplinary Journal of Philosophy 61 (8):783-853.
    This paper provides an analysis of the intrinsic/extrinsic distinction, as applied both to properties and to relations. In contrast to other accounts, the approach taken here locates the source of a property’s intrinsicality or extrinsicality in the manner in which that property is ‘logically constituted’, and thus – plausibly – in its nature or essence, rather than in e.g. its modal profile. Another respect in which the present proposal differs from many extant analyses lies in the fact that it does (...)
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