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Bare possibilia

Erkenntnis 48 (2-3):257--73 (1998)

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  1. The Possibility of Unicorns and Modal Logic.Lee Walters - 2014 - Analytic Philosophy 55 (2):295-305.
    Michael Dummett argues, against Saul Kripke, that there could have been unicorns. He then claims that this possibility shows that the logic of metaphysical modality is not S5, and, in particular, that the B axiom is false. Dummett’s argument against B, however, is invalid. I show that although there are number of ways to repair Dummett’s argument against B, each requires a controversial metaphysical or semantic commitment, and that, regardless of this, the case against B is undermotivated. Dummett’s case is (...)
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  • There Are Intentionalia of Which It Is True That Such Objects Do Not Exist.Alberto Voltolini - 2013 - International Journal of Philosophical Studies 21 (3):394-414.
    According to Crane’s schematicity thesis (ST) about intentional objects, intentionalia have no particular metaphysical nature qua thought-of entities; moreover, the real metaphysical nature of intentionalia is various, insofar as it is settled independently of the fact that intentionalia are targets of one’s thought. As I will point out, ST has the ontological consequence that the intentionalia that really belong to the general inventory of what there is, the overall domain, are those that fall under a good metaphysical kind, i.e., a (...)
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  • How to Allow for Intentionalia in the Jungle.Alberto Voltolini - 2007 - Russell: The Journal of Bertrand Russell Studies 27 (1):86-105.
    Abstract:In this paper I will first contend that semantically based arguments in favour of or against problematic entities—like those provided, respectively, in a realist Meinongian and in an antirealist Russellian camp—are ultimately inconclusive. Indeed, only genuinely ontological arguments, specifically addressed to prove (or to reject) the existence of entities of a definite kind, suit the purpose. Thus, I will sketch an argument intended to show that there really are entities of an apparently specific kind, i.e. intentionalia, broadly conceived as things (...)
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  • Are there all the alleged possible objects?Alberto Voltolini - 2000 - Topoi 19 (2):209-219.
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  • Alexander Bird: Nature’s Metaphysics: Laws and Properties. Oxford/New York: Oxford University Press, 2007. ISBN 978-0-19-922701-3; $ 70.00, £ 29.00 (hardback); 231 pages. [REVIEW]Barbara Vetter - 2009 - History of Philosophy & Logical Analysis 12 (1):320-328.
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  • Modal Platonism and the Problem of Negativity.Matthew Tugby - 2018 - Erkenntnis 83 (3):465-476.
    The Platonic account of modality says, roughly, that truths about alien possibilities are grounded in uninstantiated universals. Recently, Ingram has raised a problem for this kind of view, which is that it apparently requires negative facts to play a truthmaking role. Ingram offers an alternative Platonic account which makes use of modal instantiation relations. In this paper, I highlight some of the costs of Ingram’s new account and argue that a more appealing version of Platonism—and modal theory in general—is one (...)
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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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  • 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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  • The Minimal A-theory.Meghan Sullivan - 2012 - Philosophical Studies 158 (2):149-174.
    Timothy Williamson thinks that every object is a necessary, eternal existent. In defense of his view, Williamson appeals primarily to considerations from modal and tense logic. While I am uncertain about his modal claims, I think there are good metaphysical reasons to believe permanentism: the principle that everything always exists. B-theorists of time and change have long denied that objects change with respect to unqualified existence. But aside from Williamson, nearly all A-theorists defend temporaryism: the principle that there are temporary (...)
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  • Problems for Temporary Existence in Tense Logic.Meghan Sullivan - 2012 - Philosophy Compass 7 (1):43-57.
    A‐theorists of time postulate a deep distinction between the present, past and future. Settling on an appropriate logic for such a view is no easy matter. This Philosophy Compass article describes one of the most vexing formal problems facing A‐theorists. It is commonly thought that A‐theories can only be formally expressed in a tense logic: a logic with operators like P and F . And it seems natural to think that we live in a world where objects come to exist (...)
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  • Modal Logic as Methodology.Meghan Sullivan - 2014 - Philosophy and Phenomenological Research 88 (3):734-743.
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  • Necessary beings.Y. Stephanou - 2000 - Analysis 60 (2):188-193.
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  • A New Challenge for Objective Uncertainties and The Propensity Theorist.Robin Stenwall, Johannes Persson & Nils-Eric Sahlin - 2018 - Metaphysica 19 (2):219-224.
    The paper is concerned with the existence of objective uncertainties. What would it take for objective uncertainties to exist, and what would be the consequences for our understanding of the world we live in? We approach these questions by considering two common theories on how we are to understand the being of propensities and how it pertains to possible outcomes that remain unmanifested. It is argued that both or these theories should be rejected, and be replaced with a theory we (...)
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  • Ways an actualist might be.Robert Stalnaker - 2007 - Philosophical Studies 133 (3):455-471.
    I discuss Stalnaker’s views on modality. In particular, his views on actualism, anti-essentialism, counterpart theory, and the Barcan formulas.
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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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  • 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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  • Williamson's many necessary existents.Theodore Sider - 2009 - Analysis 69 (2):250-258.
    This note is to show that a well-known point about David Lewis’s (1986) modal realism applies to Timothy Williamson’s (1998; 2002) theory of necessary existents as well.1 Each theory, together with certain “recombination” principles, generates individuals too numerous to form a set. The simplest version of the argument comes from Daniel Nolan (1996).2 Assume the following recombination principle: for each cardinal number, ν, it’s possible that there exist ν nonsets. Then given Lewis’s modal realism it follows that there can be (...)
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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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  • Actuality for Counterpart Theorists.Jeffrey Sanford Russell - 2013 - Mind 122 (485):85-134.
    The counterpart theorist has a problem: there is no obvious way to understand talk about actuality in terms of counterparts. Fara and Williamson have charged that this obstacle cannot be overcome. Here I defend the counterpart theorist by offering systematic interpretations of a quantified modal language that includes an actuality operator. Centrally, I disentangle the counterpart relation from a related notion, a ‘representation relation’. The relation of possible things to the actual things they represent is variable, and an adequate account (...)
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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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  • Counting Things that Could Exist.Tobias Rosefeldt - 2017 - Philosophical Quarterly 67 (266):127-147.
    The paper deals with cases of counting things that could exist but do not actually exist that resist common strategies for actualist paraphrases and that play an important role in motivating Timothy Williamson's ontology of contingently concrete objects. It is argued that these cases should be understood as cases of quantification not over individual possible objects but rather over kinds of objects, some of which do not actually have instances. This claim is motivated by a comparison with other cases of (...)
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  • Essential Properties and Individual Essences.Sonia Roca-Royes - 2011 - Philosophy Compass 6 (1):65-77.
    According to Essentialism, an object’s properties divide into those that are essential and those that are accidental. While being human is commonly thought to be essential to Socrates, being a philosopher plausibly is not. We can motivate the distinction by appealing—as we just did—to examples. However, it is not obvious how best to characterize the notion of essential property, nor is it easy to give conclusive arguments for the essentiality of a given property. In this paper, I elaborate on these (...)
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  • Essentialism vis-à-vis Possibilia, Modal Logic, and Necessitism.Sonia Roca-Royes - 2011 - Philosophy Compass 6 (1):54-64.
    Pace Necessitism – roughly, the view that existence is not contingent – essential properties provide necessary conditions for the existence of objects. Sufficiency properties, by contrast, provide sufficient conditions, and individual essences provide necessary and sufficient conditions. This paper explains how these kinds of properties can be used to illuminate the ontological status of merely possible objects and to construct a respectable possibilist ontology. The paper also reviews two points of interaction between essentialism and modal logic. First, we will briefly (...)
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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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  • New Foundations of Dispositionalism - introduction.Andrea Raimondi & Lorenzo Azzano - 2022 - Synthese 200 (5):1-26.
    As Price (2009) famously mused, if a philosopher were to be magically transported, perhaps through means of time travel, from the 1950s to the modern day, they would indeed be shocked by the resurgence of metaphysics in the analytic tradition. Most of all, perhaps, they would be shocked by the popularity of power metaphysics. What a strange item to have in a philosopher’s curriculum, they might think: after all, didn’t David Hume claim that “[t]here are no ideas which can occur (...)
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  • Bennett and “proxy actualism”.Michael Nelson & Edward N. Zalta - 2009 - Philosophical Studies 142 (2):277-292.
    Karen Bennett has recently argued that the views articulated by Linsky and Zalta (Philos Perspect 8:431–458, 1994) and (Philos Stud 84:283–294, 1996) and Plantinga (The nature of necessity, 1974) are not consistent with the thesis of actualism, according to which everything is actual. We present and critique her arguments. We first investigate the conceptual framework she develops to interpret the target theories. As part of this effort, we question her definition of ‘proxy actualism’. We then discuss her main arguments that (...)
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  • Tense Logic.Ulrich Meyer - 2015 - Philosophy Compass 10 (6):406-419.
    This article surveys some of the key issues that arise when one tries to use tense logic as a metaphysical theory of the nature of time. Topics discussed include basic tense logic, tense logic and verb tense, the structure of the time series, instants of time, quantified tense logic, and the expressive resources of tense logic.
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  • Counterpart Theory and the Actuality Operator.Ulrich Meyer - 2013 - Mind 122 (485):27-42.
    Fara and Williamson (Mind, 2005) argue that counterpart theory is unable to account for modal claims that use an actuality operator. This paper argues otherwise. Rather than provide a different counterpart translation of the actuality operator itself, the solution presented here starts out with a quantified modal logic in which the actuality operator is redundant, and then translates the sentences of this logic into claims of counterpart theory.
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  • Modal Metatheory for Quantified Modal Logic, With and Without the Barcan Formulas.Andrew Joseph McCarthy - 2021 - Notre Dame Journal of Formal Logic 62 (2):285-301.
    This paper develops some modal metatheory for quantified modal logic. In such a theory, the logic of a first-order modal object-language is made sensitive to the modal facts, stated in the metalanguage. This is radically different from possible worlds semantics, which reduces questions of validity to questions of nonmodal set theory. We consider theories which characterize a notion of truth under a second-order interpretation, where an operator for metaphysical necessity is treated homophonically. The form they take is crucially influenced by (...)
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  • Prior, Berkeley, and the Barcan formula.James Levine - 2016 - Synthese 193 (11):3551-3565.
    This paper presents structural similarities and historical connections between Prior’s rejection of the Barcan formula and his critique of Berkeley’s master argument for idealism in his 1955 paper “Berkeley in Logical Form”. Making use of Mackie’s paper “Self-Refutation—A Formal Analysis”, it concludes with some suggestions concerning what is at stake in the debate between Prior and Berkeley and in structurally similar debates such as whether to accept the Barcan formula.
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  • Why pure mathematical truths are metaphysically necessary: a set-theoretic explanation.Hannes Leitgeb - 2020 - Synthese 197 (7):3113-3120.
    Pure mathematical truths are commonly thought to be metaphysically necessary. Assuming the truth of pure mathematics as currently pursued, and presupposing that set theory serves as a foundation of pure mathematics, this article aims to provide a metaphysical explanation of why pure mathematics is metaphysically necessary.
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  • Composition.Daniel Z. Korman & Chad Carmichael - 2016 - Oxford Handbooks Online.
    When some objects are the parts of another object, they compose that object and that object is composite. This article is intended as an introduction to the central questions about composition and a highly selective overview of various answers to those questions. In §1, we review some formal features of parthood that are important for understanding the nature of composition. In §2, we consider some answers to the question: which pluralities of objects together compose something? As we will see, the (...)
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  • Chance and the Structure of Modal Space.Boris Kment - 2018 - Mind 127 (507):633-665.
    The sample space of the chance distribution at a given time is a class of possible worlds. Thanks to this connection between chance and modality, one’s views about modal space can have significant consequences in the theory of chance and can be evaluated in part by how plausible these implications are. I apply this methodology to evaluate certain forms of modal contingentism, the thesis that some facts about what is possible are contingent. Any modal contingentist view that meets certain conditions (...)
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  • Necessary Laws and the Problem of Counterlegals.Samuel Kimpton-Nye - 2020 - Philosophy of Science 87 (3):518-535.
    Substantive counterlegal discourse poses a problem for those according to whom the laws of nature are metaphysically necessary. I discern two types of necessitarianism about laws: dispositional essentialism and modal necessitarianism. I argue that Toby Handfield’s response to the problem of counterlegals cannot help the modal necessitarian, according to whom all possible worlds are identical with respect to the laws. I thus propose a fictionalist treatment of counterlegals. Fictions are not limited by metaphysical possibility; hence, fictionalism affords the modal necessitarian (...)
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  • Can Hardcore Actualism Validate S5?Samuel Kimpton-Nye - 2021 - Philosophy and Phenomenological Research 102 (2):342-358.
    Hardcore actualism (HA) grounds all modal truths in the concrete constituents of the actual world (see, e.g., Borghini and Williams (2008), Jacobs (2010), Vetter (2015)). I bolster HA, and elucidate the very nature of possibility (and necessity) according to HA, by considering if it can validate S5 modal logic. Interestingly, different considerations pull in different directions on this issue. To resolve the tension, we are forced to think hard about the nature of the hardcore actualist's modal reality and how radically (...)
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  • Strongly Millian Second-Order Modal Logics.Bruno Jacinto - 2017 - Review of Symbolic Logic 10 (3):397-454.
    The most common first- and second-order modal logics either have as theorems every instance of the Barcan and Converse Barcan formulae and of their second-order analogues, or else fail to capture the actual truth of every theorem of classical first- and second-order logic. In this paper we characterise and motivate sound and complete first- and second-order modal logics that successfully capture the actual truth of every theorem of classical first- and second-order logic and yet do not possess controversial instances of (...)
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  • Fictions within fictions.Reina Hayaki - 2008 - Philosophical Studies 146 (3):379 - 398.
    This paper examines the logic of fictions within fictions. I argue that consistently nested consistent fictions must have certain formal characteristics. The most important is that they form a tree structure. Depending on one’s theory of fictional objects, additional constraints may apply regarding the appearance of a fictional object in two or more fictional universes. The background motivation for the paper is to use iterated fiction operators as a tool for making sense of iterated modal operators; I conclude by noting (...)
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  • Contingent objects and the Barcan formula.Reina Hayaki - 2006 - Erkenntnis 64 (1):75 - 83.
    It has been argued by Bernard Linsky and Edward Zalta, and independently by Timothy Williamson, that the best quantified modal logic is one that validates both the Barcan Formula and its converse. This requires that domains be fixed across all possible worlds. All objects exist necessarily; some – those we would usually consider contingent – are concrete at some worlds and non-concrete (but still existent) at others. Linsky and Zalta refer to such objects as ‘contingently non-concrete’. I defend the standard (...)
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  • Actualism and higher-order worlds.Reina Hayaki - 2003 - Philosophical Studies 115 (2):149 - 178.
    It has been argued that actualism – the view that there are no non-actual objects – cannot deal adequately with statements involving iterated modality, because such claims require reference, either explicit or surreptitious, to non-actual objects. If so, actualists would have to reject the standard semantics for quantified modal logic (QML). In this paper I develop an account of modality which allows the actualist to make sense of iterated modal claims that are ostensibly about non-actual objects. Every occurrence of a (...)
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  • How Many Angels Can Dance on the Point of a Needle? Transcendental Theology Meets Modal Metaphysics.J. Hawthorne & G. Uzquiano - 2011 - Mind 120 (477):53-81.
    We argue that certain modal questions raise serious problems for a modal metaphysics on which we are permitted to quantify unrestrictedly over all possibilia. In particular, we argue that, on reasonable assumptions, both David Lewis's modal realism and Timothy Williamson's necessitism are saddled with the remarkable conclusion that there is some cardinal number of the form ℵα such that there could not be more than ℵα-many angels in existence. In the last section, we make use of similar ideas to draw (...)
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  • An Argument For Necessitism.Jeremy Goodman - 2016 - Philosophical Perspectives 30 (1):160-182.
    This paper presents a new argument for necessitism, the claim that necessarily everything is necessarily something. The argument appeals to principles about the metaphysics of quantification and predication which are best seen as constraints on reality’s fineness of grain. I give this argument in section 4; the impatient reader may skip directly there. Sections 1-3 set the stage by surveying three other arguments for necessitism. I argue that none of them are persuasive, but I think it is illuminating to consider (...)
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  • Sententialism and Berkeley's master argument.Zoltán Gendler Szabó - 2005 - Philosophical Quarterly 55 (220):462–474.
    Sententialism is the view that intensional positions in natural languages occur within clausal complements only. According to proponents of this view, intensional transitive verbs such as 'want', 'seek' or 'resemble' are actually propositional attitude verbs in disguise. I argue that 'conceive' cannot fit this mould: conceiving-of is not reducible to conceiving-that. I offer a new diagnosis of where Berkeley's 'master argument' goes astray, analysing what is odd about saying that Hylas conceives a tree which is not conceived. A sententialist semantics (...)
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  • Unifying Quantified Modal Logic.James W. Garson - 2005 - Journal of Philosophical Logic 34 (5-6):621-649.
    Quantified modal logic has reputation for complexity. Completeness results for the various systems appear piecemeal. Different tactics are used for different systems, and success of a given method seems sensitive to many factors, including the specific combination of choices made for the quantifiers, terms, identity, and the strength of the underlying propositional modal logic. The lack of a unified framework in which to view QMLs and their completeness properties puts pressure on those who develop, apply, and teach QML to work (...)
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  • Actualistic Foundation of Possibilism.Sergio Galvan - 2020 - Metaphysica 21 (2):255-272.
    In this article I defend a form of classical possibilism with an actualist foundation. As a matter of fact, I believe that this position is more in keeping with the classical metaphysical tradition. According to this form of possibilism, I construe possible objects as possible non-existing objects of an existing producing power. Consequently, they are nothing vis-à -vis the modality of their own actual being, although they do exist with regard to the modality of the producing power’s being. The actualist (...)
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  • A Classical Logic of Existence and Essence.Sergio Galvan & Alessandro Giordani - 2020 - Logic and Logical Philosophy 29 (4):541-570.
    The purpose of this paper is to provide a new system of logic for existence and essence, in which the traditional distinctions between essential and accidental properties, abstract and concrete objects, and actually existent and possibly existent objects are described and related in a suitable way. In order to accomplish this task, a primitive relation of essential identity between different objects is introduced and connected to a first order existence property and a first order abstractness property. The basic idea is (...)
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  • In the Mood for S4: The Expressive Power of the Subjunctive Modal Language in Weak Background Logics.Rohan French - 2015 - Studia Logica 103 (2):239-263.
    Our concern here is with the extent to which the expressive equivalence of Wehmeier’s Subjunctive Modal Language and the Actuality Modal Language is sensitive to the choice of background modal logic. In particular we will show that, when we are enriching quantified modal logics weaker than S5, AML is strictly expressively stronger than SML, this result following from general considerations regarding the relationship between operators and predicate markers. This would seem to complicate arguments given in favour of SML which rely (...)
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  • Williamson on Fine on Prior on the reduction of possibilist discourse.Kit Fine - 2016 - Canadian Journal of Philosophy 46 (4-5):548-570.
    I attempt to meet some criticisms that Williamson makes of my attempt to carry out Prior's project of reducing possibility discourse to actualist discourse.
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  • Relative-sameness counterpart theory.Delia Graff Fara - 2008 - Review of Symbolic Logic 1 (2):167-189.
    Here I propose a coherent way of preserving the identity of material objects with the matter that constitutes them. The presentation is formal, and intended for RSL. An informal presentation is in preliminary draft! -/- Relative-sameness relations—such as being the same person as—are like David Lewis's "counterpart" relations in the following respects: (i) they may hold between objects that aren't identical (I propose), and (ii) there are a multiplicity of them, different ones of which may be variously invoked in different (...)
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  • Counterparts and Actuality.Michael Fara & Timothy Williamson - 2005 - Mind 114 (453):1-30.
    Many philosophers, following David Lewis, believe that we should look to counterpart theory, not quantified modal logic, as a means of understanding modal discourse. We argue that this is a mistake. Significant parts of modal discourse involve either implicit or explicit reference to what is actually the case, raising the question of how talk about actuality is to be represented counterpart-theoretically. By considering possible modifications of Lewis's counterpart theory, including actual modifications due to Graeme Forbes and Murali Ramachandran, we argue (...)
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