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Modal Logic as Metaphysics

Oxford, England: Oxford University Press (2013)

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  1. When Do Some Things Form a Set?Simon Hewitt - 2015 - Philosophia Mathematica 23 (3):311-337.
    This paper raises the question under what circumstances a plurality forms a set, parallel to the Special Composition Question for mereology. The range of answers that have been proposed in the literature are surveyed and criticised. I argue that there is good reason to reject both the view that pluralities never form sets and the view that pluralities always form sets. Instead, we need to affirm restricted set formation. Casting doubt on the availability of any informative principle which will settle (...)
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  • Presentism without Presentness.Fabrice Correia & Sven Rosenkranz - 2015 - Thought: A Journal of Philosophy 4 (1):19-27.
    We argue that presentism, understood as a view about time and existence, can perspicuously be defined in opposition to all other familiar contenders without appeal to any notion of presentness or cognate notions such as concreteness. Given recent worries about the suitability of such notions to cut much metaphysical ice, this should be welcomed by presentism's defenders. We also show that, irrespective of its sparse ideology, the proposed formulation forestalls any deviant interpretation at odds with the view it aims to (...)
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  • Deep Platonism.Chad Carmichael - 2016 - Philosophy and Phenomenological Research 92 (2):307-328.
    According to the traditional bundle theory, particulars are bundles of compresent universals. I think we should reject the bundle theory for a variety of reasons. But I will argue for the thesis at the core of the bundle theory: that all the facts about particulars are grounded in facts about universals. I begin by showing how to meet the main objection to this thesis (which is also the main objection to the bundle theory): that it is inconsistent with the possibility (...)
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  • Necessarily Maybe. Quantifiers, Modality and Vagueness.Alessandro Torza - 2015 - In Quantifiers, Quantifiers, and Quantifiers. Themes in Logic, Metaphysics, and Language. (Synthese Library vol. 373). Springer. pp. 367-387.
    Languages involving modalities and languages involving vagueness have each been thoroughly studied. On the other hand, virtually nothing has been said about the interaction of modality and vagueness. This paper aims to start filling that gap. Section 1 is a discussion of various possible sources of vague modality. Section 2 puts forward a model theory for a quantified language with operators for modality and vagueness. The model theory is followed by a discussion of the resulting logic. In Section 3, the (...)
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  • Non-qualitative Properties.Sam Cowling - 2015 - Erkenntnis 80 (2):275-301.
    The distinction between qualitative properties like mass and shape and non-qualitative properties like being Napoleon and being next to Obama is important, but remains largely unexamined. After discussing its theoretical significance and cataloguing various kinds of non-qualitative properties, I survey several views about the nature of this distinction and argue that all proposed reductive analyses of this distinction are unsatisfactory. I then defend primitivism, according to which the distinction resists reductive analysis.
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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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  • Specialness and Egalitarianism.Giovanni Merlo - 2013 - Thought: A Journal of Philosophy 2 (2):248-257.
    There are two intuitions about time. The first is that there's something special about the present that objectively differentiates it from the past and the future. Call this intuition Specialness. The second is that the time at which we happen to live is just one among many other times, all of which are ‘on a par’ when it comes to their forming part of reality. Call this other intuition Egalitarianism. Tradition has it that the so-called ‘A-theories of time’ fare well (...)
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  • What is the correct logic of necessity, actuality and apriority?Peter Fritz - 2014 - Review of Symbolic Logic 7 (3):385-414.
    This paper is concerned with a propositional modal logic with operators for necessity, actuality and apriority. The logic is characterized by a class of relational structures defined according to ideas of epistemic two-dimensional semantics, and can therefore be seen as formalizing the relations between necessity, actuality and apriority according to epistemic two-dimensional semantics. We can ask whether this logic is correct, in the sense that its theorems are all and only the informally valid formulas. This paper gives outlines of two (...)
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  • Modal Ontology and Generalized Quantifiers.Peter Fritz - 2013 - Journal of Philosophical Logic 42 (4):643-678.
    Timothy Williamson has argued that in the debate on modal ontology, the familiar distinction between actualism and possibilism should be replaced by a distinction between positions he calls contingentism and necessitism. He has also argued in favor of necessitism, using results on quantified modal logic with plurally interpreted second-order quantifiers showing that necessitists can draw distinctions contingentists cannot draw. Some of these results are similar to well-known results on the relative expressivity of quantified modal logics with so-called inner and outer (...)
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  • Ordinary objects.Daniel Z. Korman - 2011 - Stanford Encyclopedia of Philosophy.
    An encyclopedia entry which covers various revisionary conceptions of which macroscopic objects there are, and the puzzles and arguments that motivate these conceptions: sorites arguments, the argument from vagueness, the puzzles of material constitution, arguments against indeterminate identity, arguments from arbitrariness, debunking arguments, the overdetermination argument, and the problem of the many.
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  • Nonexistent objects.Maria Reicher - 2019 - Stanford Encyclopedia of Philosophy.
    Are there nonexistent objects, i.e., objects that do not exist? Some examples often cited are: Zeus, Pegasus, Sherlock Holmes, Vulcan (the hypothetical planet postulated by the 19th century astronomer Le Verrier), the perpetual motion machine, the golden mountain, the fountain of youth, the round square, etc. Some important philosophers have thought that the very concept of a nonexistent object is contradictory (Hume) or logically ill-formed (Kant, Frege), while others (Leibniz, Meinong, the Russell of Principles of Mathematics) have embraced it wholeheartedly. (...)
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  • (1 other version)Actualism.Christopher Menzel - 2008 - Stanford Encyclopedia of Philosophy.
    To understand the thesis of actualism, consider the following example. Imagine a race of beings — call them ‘Aliens’ — that is very different from any life-form that exists anywhere in the universe; different enough, in fact, that no actually existing thing could have been an Alien, any more than a given gorilla could have been a fruitfly. Now, even though there are no Aliens, it seems intuitively the case that there could have been such things. After all, life might (...)
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  • The Possibility Bias is not Justified.Samuel Kimpton-Nye - forthcoming - Journal of the American Philosophical Association.
    Necessity, but not possibility, is typically thought to be rare and suspicion-worthy. This manifests in an asymmetry in the burden of proof incurred by modal claims. In general, claims to the effect that some proposition is impossible/necessary require significant argumentative support and, in general, claims to the effect that some proposition is possible/contingent are thought to be justified freely or by default. Call this the possibility bias. In this paper, I argue that the possibility bias is not epistemically justified. We (...)
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  • The Identity of Necessary Indiscernibles.Zach Thornton - forthcoming - Philosophers' Imprint.
    I propose a novel metaphysical explanation of identity and distinctness facts called the Modal Proposal. According to the Modal Proposal, for each identity fact – that is, each fact of the form a=b – that fact is metaphysically explained by the fact that it is necessary that the entities involved are indiscernible, and for each distinctness fact –that is, each fact of the form a≠b – that fact is metaphysically explained by the fact that it is possible for the entities (...)
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  • Ruth Barcan Marcus.Roberta Ballarin - 2024 - Stanford Encyclopedia of Philosophy.
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  • Against the status response to the argument from Vagueness.David Mark Kovacs - 2022 - Synthese 200 (6):1-20.
    The Argument from Vagueness for Universalism contends that any non-arbitrary restriction on composition must be vague, but that vague composition leads to unacceptable count indeterminacy. One common response to the argument is that borderline cases of composition don’t necessarily lead to count indeterminacy because a determinately existing thing may be a borderline case of a presently existing concrete composite object. We can collectively refer to such views as versions of the Status Response. This paper argues that the Status Response cannot (...)
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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—◊∃xBx → ∃x◊Bx—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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  • What is it to be located?Matt Leonard - 2021 - Philosophical Studies 178 (9):2991-3009.
    The literature suggests two main answers to the question of what it is for a material object to be located at a region of spacetime. Both have a number of virtues. However, both suffer from well-known problems. According to one answer, location is a primitive relation with no informative metaphysical analysis. But this makes a number of necessary truths seem mysterious and leaves them unexplained. According to the other answer, to be located at a region is just to be identical (...)
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  • The Indeterminacy of the Distinction between Objects and Ways of Being.Julio De Rizzo - 2022 - Erkenntnis 87 (6):2923-2941.
    Few if any distinctions are more easily recognisable and assented to than that between _objects_, that is, things which are some ways, and that which they are, that is, _ways for objects to be_ (‘ways of being’ for short). In this paper I present an argument designed to show that this distinction is indeterminate in the sense that the truth-conditions of predicational sentences leave open what should count as an object and a way of being. The bulk of the argument (...)
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  • The Barcan formulas and necessary existence: the view from Quarc.Hanoch Ben-Yami - 2020 - Synthese 198 (11):11029-11064.
    The Modal Predicate Calculus gives rise to issues surrounding the Barcan formulas, their converses, and necessary existence. I examine these issues by means of the Quantified Argument Calculus, a recently developed, powerful formal logic system. Quarc is closer in syntax and logical properties to Natural Language than is the Predicate Calculus, a fact that lends additional interest to this examination, as Quarc might offer a better representation of our modal concepts. The validity of the Barcan formulas and their converses is (...)
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  • The world as I found it. A subjectivist metaphysics of the mental.Giovanni Merlo - 2015 - Dissertation, Universitat de Barcelona
    The first part of this thesis articulates and defends the Subjectivist View of the Mental. According to this view, my mental states are essentially different from the mental states of everyone else, but the fact that they are is a subjective fact, rather than an objective one. Chapter 1 explains what it takes for a fact to be subjective, what kind of difference holds between my mental states and everyone else's mental states and what kind of intuitions lead me to (...)
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  • A two-dimensional logic for diagonalization and the a priori.Melissa Fusco - 2020 - Synthese 198 (9):8307-8322.
    Two-dimensional semantics, which can represent the distinction between a priority and necessity, has wielded considerable influence in the philosophy of language. In this paper, I axiomatize the dagger operator of Stalnaker’s “Assertion” in the formal context of two-dimensional modal logic. The language contains modalities of actuality, necessity, and a priority, but is also able to represent diagonalization, a conceptually important operation in a variety of contexts, including models of the relative a priori and a posteriori often appealed to Bayesian and (...)
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  • Logic, Metalogic and Neutrality.Timothy Williamson - 2013 - Erkenntnis 79 (2):211-231.
    The paper is a critique of the widespread conception of logic as a neutral arbiter between metaphysical theories, one that makes no `substantive’ claims of its own (David Kaplan and John Etchemendy are two recent examples). A familiar observation is that virtually every putatively fundamental principle of logic has been challenged over the last century on broadly metaphysical grounds (however mistaken), with a consequent proliferation of alternative logics. However, this apparent contentiousness of logic is often treated as though it were (...)
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  • Structure by proxy, with an application to grounding.Peter Fritz - 2019 - Synthese 198 (7):6045-6063.
    An argument going back to Russell shows that the view that propositions are structured is inconsistent in standard type theories. Here, it is shown that such type theories may nevertheless provide entities which can serve as proxies for structured propositions. As an illustration, such proxies are applied to the case of grounding, as standard views of grounding require a degree of propositional structure which suffices for a version of Russell’s argument. While this application solves some of the problems grounding faces, (...)
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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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  • Objects and Modalities: A Study in the Semantics of Modal Logic.Tero Tulenheimo - 2017 - Cham, Switzerland: Springer Verlag.
    This book develops a novel generalization of possible world semantics, called ‘world line semantics’, which recognizes worlds and links between world-bound objects (world lines) as mutually independent aspects of modal semantics. Addressing a wide range of questions vital for contemporary debates in logic and philosophy of language and offering new tools for theoretical linguistics and knowledge representation, the book proposes a radically new paradigm in modal semantics. This framework is motivated philosophically, viewing a structure of world lines as a precondition (...)
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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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  • Presentism, eternalism and where things are located.Emanuel Viebahn - 2020 - Synthese 197 (7):2963-2974.
    In several recent papers, Daniel Deasy has argued that the presentism–eternalism debate is unclear and should be abandoned. According to Deasy, there is no way of spelling out the predicate ‘is present’ that leads to a satisfactory definition of presentism: on some interpretations, presentism turns out to be compatible with eternalism, on others, it is clearly false or unacceptable for other reasons. The aim of this paper is to show that this line of argument should be resisted: if the predicate (...)
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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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  • Theories of truth and the maxim of minimal mutilation.Ole Thomassen Hjortland - 2017 - Synthese 199 (Suppl 3):787-818.
    Nonclassical theories of truth have in common that they reject principles of classical logic to accommodate an unrestricted truth predicate. However, different nonclassical strategies give up different classical principles. The paper discusses one criterion we might use in theory choice when considering nonclassical rivals: the maxim of minimal mutilation.
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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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  • 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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  • Bob Hale Necessary Beings – An Essay on Ontology, Modality, and the Relations Between Them. Oxford University Press, 2013. x + 298 pp. ISBN 978‐0‐19‐966957‐8. [REVIEW]Dominik Kauss - 2014 - Theoria 80 (3):277-282.
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  • Yes: Bare Particulars!Niall Connolly - 2015 - Philosophical Studies 172 (5):1355-1370.
    What is the Bare Particular Theory? Is it committed, like the Bundle Theory, to a constituent ontology: according to which a substance’s qualities—and according to the Bare Particular Theory, its substratum also—are proper parts of the substance? I argue that Bare Particularists need not, should not, and—if a recent objection to ‘the Bare Particular Theory’ succeeds—cannot endorse a constituent ontology. There is nothing, I show, in the motivations for Bare Particularism or the principles that distinguish Bare Particularism from rival views (...)
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  • Possible Worlds.Christopher Menzel - 2013 - Stanford Encyclopedia of Philosophy.
    This article includes a basic overview of possible world semantics and a relatively comprehensive overview of three central philosophical conceptions of possible worlds: Concretism (represented chiefly by Lewis), Abstractionism (represented chiefly by Plantinga), and Combinatorialism (represented chiefly by Armstrong).
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  • Abstract and Concrete Individuals and Projection.Jiri Raclavsky - 2017 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 24 (supplementary):74-88.
    Two kinds of individuals are distinguished: abstract and concrete. Whereas abstract individuals belong to our conceptual sphere, concrete individuals (i.e. particulars) individuate the world of matter. A subject investigating the external world projects abstract individuals onto concrete ones. The proposal offers a solution to various metaphysical and epistemological puzzles concerned with individuals, e.g., the Ship of Theseus, the Polish Logician, problems with reidentification, or proper names.
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  • (1 other version)Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
    Ordinary English contains different forms of quantification over objects. In addition to the usual singular quantification, as in 'There is an apple on the table', there is plural quantification, as in 'There are some apples on the table'. Ever since Frege, formal logic has favored the two singular quantifiers ∀x and ∃x over their plural counterparts ∀xx and ∃xx (to be read as for any things xx and there are some things xx). But in recent decades it has been argued (...)
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  • Singular propositions.Greg Fitch - 2008 - Stanford Encyclopedia of Philosophy.
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  • Toward a New Theory of Moderate Contingentism: Individuals just are Realized Essences.Pranciškus Gricius - 2022 - Problemos 102:36-49.
    In this paper, we propose a new actualist and contingentist modal metaphysics – fundamental essentialism – according to which individuals just are realized essences. Orthodox possible worlds semantics is incompatible with actualism and contingentism since Kripke models in which paradigmatic contingentists propositions are true require possible worlds whose domain contain merely possible individuals. In light of this problem, Plantinga has developed modal metaphysics based on essences, but it has been claimed by Fine, Williamson, and others, that it cannot be upheld (...)
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  • How to Make Possibility Safe for Empiricists.John D. Norton - unknown
    What is possible, according to the empiricist conception, is what our evidence positively allows; and what is necessary is what it compels. These notions, along with logical possibility, are the only defensible notions of possibility and necessity. In so far as nomic and metaphysical possibilities are defensible, they fall within empirical possibility. These empirical conceptions are incompatible with traditional possible world semantics. Empirically necessary propositions cannot be defined as those true in all possible worlds. There can be empirical possibilities without (...)
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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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  • In defense of Aristotelian universals.Alessandro Giordani & Eric Tremolanti - 2022 - Synthese 200 (2):1-18.
    To be an Aristotelian about universals is to hold that universals depend for their existence on their exemplifiers. An argument against Aristotelianism about universals has recently been put forward by Costa to the effect that a contradiction follows from assuming a certain formulation of Aristotelianism together with some highly plausible principles governing the notions employed in that formulation. In this paper, we provide different ways of articulating the Aristotelian position which, while being related with some of the main contributions in (...)
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  • Inductive metaphysics: Editors' introduction.Kristina Engelhard, Christian J. Feldbacher-Escamilla, Alexander Gebharter & Ansgar Seide - 2021 - Grazer Philosophische Studien 98 (1):1-26.
    This introduction consists of two parts. In the first part, the special issue editors introduce inductive metaphysics from a historical as well as from a systematic point of view and discuss what distinguishes it from other modern approaches to metaphysics. In the second part, they give a brief summary of the individual articles in this special issue.
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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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  • The Essences of Fundamental Properties.Jennifer Wang - 2019 - Metaphysics 2 (1):40-54.
    There is a puzzle concerning the essences of fundamental entities that arises from considerations about essence, on one hand, and fundamentality, on the other. The Essence-Dependence Link (EDL) says that if x figures in the essence of y, then y is dependent upon x. EDL is prima facie plausible in many cases, especially those involving derivative entities. But consider the property negative charge. A negatively charged object exhibits certain behaviors that a positively charged object does not: it moves away from (...)
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  • Quick and Easy Recipes for Hypergunk.Patrick Reeder - 2019 - 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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  • A note on Dasgupta’s Generalism.Joshua Babic & Lorenzo Cocco - 2020 - Philosophical Studies 177 (8):2153-2162.
    Dasgupta :35–67, 2009) has argued that material individuals, such as particles and laptops, are metaphysically objectionable and must be eliminated from our fundamental theories of the world. He proposes to eliminate them by redescribing all the fundamental facts of the world in a variant of predicate functor logic. We study the status, on this theory, of a putative fact particularly recalcitrant to a formulation within predicate functor logic: his own claim that there are no fundamental or primitive material individuals. We (...)
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  • Abduction versus conceiving in modal epistemology.Stephen Biggs & Jessica Wilson - 2019 - Synthese 198 (Suppl 8):2045-2076.
    How should modal reasoning proceed? Here we compare abduction-based and conceiving-based modal epistemologies, and argue that an abduction-based approach is preferable, and by a wide margin.
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  • The Subject of Harm in Non-Identity Cases.Jens Johansson - 2018 - Ethical Theory and Moral Practice 22 (4):1-15.
    In a typical non-identity case, the agent performs an action that causes someone to exist at a low but positive level of well-being, although an alternative was to create another, much happier person instead. There seem to be strong moral reasons against what the agent does, but it is difficult to explain how this can be so. In particular, it seems that on a simple counterfactual account of harm, the action does not harm anyone, as it does not make anyone (...)
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  • Characterising Theories of Time and Modality.Daniel Deasy - 2019 - Analytic Philosophy 60 (3):283-305.
    Recently, some authors – call them Reformists – have argued that the traditional Presentism-Eternalism and Actualism-Possibilism debates in the metaphysics of time and modality respectively are unclear or insubstantial, and should therefore give way to the newer Temporaryism-Permanentism and Contingentism- Necessitism debates. In ‘On characterising the presentism/eternalism and actualism/possibilism debates’ (2016, Analytic Philosophy 57: 110-140), Ross Cameron defends the Conservative position that the traditional debates are both substantial and distinct from the Temporaryism-Permanentism and Contingentism- Necessitism debates. In this paper I (...)
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