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  1. Events and their counterparts.Neil McDonnell - 2016 - Philosophical Studies 173 (5):1291-1308.
    This paper argues that a counterpart-theoretic treatment of events, combined with a counterfactual theory of causation, can help resolve three puzzles from the causation literature. First, CCT traces the apparent contextual shifts in our causal attributions to shifts in the counterpart relation which obtains in those contexts. Second, being sensitive to shifts in the counterpart relation can help diagnose what goes wrong in certain prominent examples where the transitivity of causation appears to fail. Third, CCT can help us resurrect the (...)
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  2. How to Be a Modal Realist.Cian Dorr - manuscript
    This paper investigates the form a modal realist analysis of possibility and necessity should take. It concludes that according to the best version of modal realism, the notion of a world plays no role in the analysis of modal claims. All contingent claims contain some de re element; the effect of modal operators on these elements is described by a counterpart theory which takes the same form whether the de re reference is to a world or to something else. This (...)
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  3. Counterpart Theory and the Problem of Actuality (Talk).Dan Marshall - manuscript
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  4. Counterparts, Determinism, and the Hole Argument.Franciszek Cudek - forthcoming - British Journal for the Philosophy of Science.
    The hole argument concludes that substantivalism about spacetime entails the radical indeterminism of the general theory of relativity (GR). In this paper, I amend and defend a response to the hole argument first proposed by Butterfield (1989) that relies on the idea of counterpart substantivalism. My amendment clarifies and develops the metaphysical presuppositions of counterpart substantivalism and its relation to various definitions of determinism. My defence consists of two claims. First, contra Weatherall (2018) and others: the hole argument is not (...)
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  5. Time and Modality.Samuele Iaquinto - forthcoming - In Nina Emery (ed.), The Routledge Companion to Philosophy of Time. Routledge.
    Time and modality show remarkable similarities. Each of the most discussed theories in philosophy of time finds an analogous counterpart in modal metaphysics, suggesting that the parallel between the two notions is metaphysically deep. This chapter offers a brief overview of their analogies. Section 1 addresses the analogy between presentism and actualism. Section 2 explores the analogy between non-presentist theories and possibilism. Section 3 discusses the analogy between temporal and modal persistence.
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  6. Transworld identity.Penelope Mackie - forthcoming - Stanford Encyclopedia of Philosophy.
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  7. Counterpart theory: metaphysical modal normativism by another name.Kristie Miller - 2023 - Inquiry: An Interdisciplinary Journal of Philosophy 1.
    In this paper, I argue that not only is metaphysical modal normativism an attractive view but that, as a matter of fact, many of us have, all along, been metaphysical modal normativists of a particular stripe. Namely, we have been the kinds of modal normativists, in the form of counterpart theorists, who are robust realists about possibility simpliciter. Having introduced modal normativism as Thomasson does in Norms and Necessity, I go on to recast it in somewhat different terms. With this (...)
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  8. Haecceitism and counterpart theory.Michael De - 2022 - Theoria 88 (6):1163-1179.
    David Lewis argues at length against haecceitism and goes as far as claiming that, on a certain counterpart-theoretic construal, the doctrine is unintelligible or inconsistent. I argue, contra Lewis, that both qualitative and non-qualitative counterpart theory are in fact committed to haecceitism, but that this commitment is harmless since what is really at stake for a counterpart theorist such as Lewis are more general supervenience claims that are independent of haecceitism. I further argue that Lewis's formulation of the doctrine suffers (...)
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  9. Counterparts and Counterpossibles: Impossibility without Impossible Worlds.Michael Townsen Hicks - 2022 - Journal of Philosophy 119 (10):542-574.
    Standard accounts of counterfactuals with metaphysically impossible antecedents take them to by trivially true. But recent work shows that nontrivial countermetaphysicals are frequently appealed to in scientific modeling and are indispensable for a number of metaphysical projects. I focus on three recent discussions of counterpossible counterfactuals, which apply counterpossibles in both scientific and metaphysical modeling. I show that a sufficiently developed modal counterpart theory can provide a semantics for a wide range of counterpossibles without any inconsistent possibilities or other forms (...)
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  10. On the translation from quantified modal logic to counterpart theory.Cristina Nencha - 2022 - Synthese 200 (5):1-15.
    Lewis (1968) claims that his language of Counterpart Theory (CT) interprets modal discourse and he adverts to a translation scheme from the language of Quantifed Modal Logic (QML) to CT. However, everybody now agrees that his original translation scheme does not always work, since it does not always preserve the ‘intuitive’ meaning of the translated QML-formulas. Lewis discusses this problem with regard to the Necessitist Thesis, and I will extend his discourse to the analysis of the Converse Barcan Formula. Everyone (...)
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  11. Binding bound variables in epistemic contexts.Brian Rabern - 2021 - Inquiry: An Interdisciplinary Journal of Philosophy 64 (5-6):533-563.
    ABSTRACT Quine insisted that the satisfaction of an open modalised formula by an object depends on how that object is described. Kripke's ‘objectual’ interpretation of quantified modal logic, whereby variables are rigid, is commonly thought to avoid these Quinean worries. Yet there remain residual Quinean worries for epistemic modality. Theorists have recently been toying with assignment-shifting treatments of epistemic contexts. On such views an epistemic operator ends up binding all the variables in its scope. One might worry that this yields (...)
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  12. We Should Not Be a Counterpart Theorist of Events If We Want to Be a Counterfactual Theorist of Causation.Zhiheng Tang - 2021 - Theoria 87 (5):1038-1049.
    Although David Lewis advocates a counterpart-theoretic treatment of objects but rejects a parallel treatment of events, many philosophers have — mainly to solve some puzzles within the framework of a Lewisian counterfactual analysis of causation — suggested that the counterpart-theoretic treatment be extended to events. This article argues that we had better not be a counterpart theorist of events as long as we want to remain at all faithful to the counterfactual analysis of causation.
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  13. The Counteridentical Account of Explanatory Identities.Isaac Wilhelm - 2021 - Journal of Philosophy 118 (2):57-78.
    Many explanations rely on identity facts. In this paper, I propose an account of how identity facts explain: roughly, the fact that A is identical to B explains another fact whenever that other fact depends, counterfactually, on A being identical to B. As I show, this account has many virtues. It avoids several problems facing accounts of explanatory identities, and when precisified using structural equations, it can be used to defend interventionist accounts of causation against an objection.
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  14. A Little Puzzle about a Piece and a Puddle.Mahrad Almotahari - 2020 - In Karen Bennett & Dean Zimmerman (eds.), Oxford Studies in Metaphysics, volume 12. Oxford, UK: Oxford University Press. pp. 231-261.
    A new puzzle about material constitution is presented and its implications are discussed. The moral of the story is that familiar intuitions supporting a neo-Aristotelian view of the material world are contradictory. To accommodate these intuitions is to embrace inconsistency. Therefore, neo-Aristotelianism is worse off for its intuitive appeal. Furthermore, the puzzle is used to argue for an account of ordinary modal thought and language that’s reconstructive, or ameliorative.
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  15. Rabern’s Semantics for Metaphysical and Epistemic Modalities and the Nesting Problem.Fabian Heimann - 2020 - Journal of Philosophical Logic 49 (3):497-507.
    In a recent paper, Brian Rabern suggests a semantics for languages with two kinds of modality, standard Kripkean metaphysical modality as well as epistemic modality. This semantics presents an alternative to two-dimensionalism, which was developed in the last decades. Both Rabern’s semantics and two-dimensionalism are subject to a puzzle that Chalmers and Rabern, 210–224 2014) call the nesting problem. I will investigate how Rabern’s semantics answers this puzzle.
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  16. Relativized metaphysical modality: Index and context.Benj Hellie, Adam Russell Murray & Jessica Wilson - 2020 - In Otávio Bueno & Scott A. Shalkowski (eds.), The Routledge Handbook of Modality. New York: Routledge.
    Relativized Metaphysical Modality (RMM: Murray and Wilson, 'Relativized metaphysical modality', Oxford Studies in Metaphysics, 2012; Murray, Perspectives on Modal Metaphysics, 2017) exploits 'two-dimensionalist' resources to metaphysical, rather than epistemological, ends: the second dimension offers perspective-dependence without contingency, diverting attacks on 'Classical' analyses of modals (in effect, analyses validating S5 and the Barcan Formulae). Here, we extend the RMM program in two directions. First, we harvest resources for RMM from Lewis's 1980 'Context--Index' (CI) framework: (a) the ban in CI on binding (...)
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  17. Many problems of the many.Hao Hong - 2020 - Synthese 199 (1-2):3101-3116.
    David Lewis offers two solutions to the problem of the many, one of which relies on supervaluationism and the other on the notion of “almost-identity” for the most part. In this paper, I argue that Lewis’ other metaphysical views constitute reasons to prefer his second solution to the first one. Specifically, Lewis’ theory of propositions and his counterpart theory give rise to two similar problems of the many, which I call “the problem of many propositions” and “the problem of many (...)
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  18. Modal Fragmentalism.Samuele Iaquinto - 2020 - The Philosophical Quarterly 70:570-587.
    In this paper, I will argue that there is a version of possibilism—inspired by the modal analogue of Kit Fine’s fragmentalism—that can be combined with a weakening of actualism. The reasons for analysing this view, which I call Modal Fragmentalism, are twofold. Firstly, it can enrich our understanding of the actualism/possibilism divide, by showing that, at least in principle, the adoption of possibilia does not correspond to an outright rejection of the actualist intuitions. Secondly, and more specifically, it can enrich (...)
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  19. Logica e Mondi Possibili.Giacomo Turbanti - 2020 - Pisa: Pisa University Press.
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  20. The Nature of Contingency: Quantum Physics as Modal Realism.Alastair Wilson - 2020 - Oxford, UK: Oxford University Press.
    This book defends a radical new theory of contingency as a physical phenomenon. Drawing on the many-worlds approach to quantum theory and cutting-edge metaphysics and philosophy of science, it argues that quantum theories are best understood as telling us about the space of genuine possibilities, rather than as telling us solely about actuality. When quantum physics is taken seriously in the way first proposed by Hugh Everett III, it provides the resources for a new systematic metaphysical framework encompassing possibility, necessity, (...)
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  21. On the Humphrey Objection to Modal Realism.Michael De - 2018 - Grazer Philosophische Studien 95 (2):159-179.
    An intuitive objection to modal realism is that merely possible worlds and their inhabitants seem to be irrelevant to an analysis of modality. Kripke originally phrased the objection in terms of being concerned about one’s modal properties without being concerned about the properties one’s other-worldly counterparts have. The author assesses this objection in a variety of forms, and then provides his own formulation that does not beg the question against the modal realist. Finally, the author considers two potential answers to (...)
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  22. Truths qua Grounds.Ghislain Guigon - 2018 - Philosophy and Phenomenological Research 97 (1):99-125.
    A number of philosophers have recently found it congenial to talk in terms of grounding. Grounding discourse features grounding sentences that are answers to questions about what grounds what. The goal of this article is to explore and defend a counterpart-theoretic interpretation of grounding discourse. We are familiar with David Lewis's applications of the method of counterpart theory to de re modal discourse. Counterpart-theoretic interpretations of de re modal idioms and grounding sentences share similar motivations, mechanisms, and applications. I shall (...)
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  23. Essential bundle theory and modality.Mark Jago - 2018 - Synthese (Suppl 6):1-16.
    Bundle theories identify material objects with bundles of properties. On the traditional approach, these are the properties possessed by that material object. That view faces a deep problem: it seems to say that all of an object’s properties are essential to it. Essential bundle theory attempts to overcome this objection, by taking the bundle as a specification of the object’s essential properties only. In this paper, I show that essential bundle theory faces a variant of the objection. To avoid the (...)
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  24. Counteridenticals.Alexander W. Kocurek - 2018 - The Philosophical Review 127 (3):323-369.
    A counteridentical is a counterfactual with an identity statement in the antecedent. While counteridenticals generally seem non-trivial, most semantic theories for counterfactuals, when combined with the necessity of identity and distinctness, attribute vacuous truth conditions to such counterfactuals. In light of this, one could try to save the orthodox theories either by appealing to pragmatics or by denying that the antecedents of alleged counteridenticals really contain identity claims. Or one could reject the orthodox theory of counterfactuals in favor of a (...)
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  25. Transitivity and Proportionality in Causation.Neil McDonnell - 2018 - Synthese 195 (3):1211-1229.
    It is commonly assumed that causation is transitive and in this paper I aim to reconcile this widely-held assumption with apparent evidence to the contrary. I will discuss a familiar approach to certain well-known counterexamples, before introducing a more resistant sort of case of my own. I will then offer a novel solution, based on Yablo’s proportionality principle, that succeeds in even these more resistant cases. There is a catch, however. Either proportionality is a constraint on which causal claims are (...)
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  26. Counterfactual Double Lives.Michael Deigan - 2017 - Proceedings of the 21st Amsterdam Colloquium:215--224.
    Expressions typically thought to be rigid designators can refer to distinct individuals in the consequents of counterfactuals. This occurs in counteridenticals, such as “If I were you, I would arrest me”, as well as more ordinary counterfactuals with clearly possible antecedents, like “If I were a police officer, I would arrest me”. I argue that in response we should drop rigidity and deal with de re modal predication using something more flexible, such as counterpart theory.
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  27. Causes and Counterparts.Alex Kaiserman - 2017 - Australasian Journal of Philosophy 95 (1):17-28.
    It follows from David Lewis's counterpart-theoretic analysis of modality and his counterfactual theory of causation that causal claims are relativized to a set of counterpart relations. Call this Shlewis's view. I show how Shlewis's view can provide attractively unified solutions to similar modal and causal puzzles. I then argue that Shlewis's view is better motivated, by his own lights, than the view Lewis actually held, and also better motivated than a similar approach which relativizes causal claims to sets of ‘contrast (...)
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  28. Natural Properties Do Not Support Essentialism in Counterpart Theory: A Reflection on Buras’s Proposal.Cristina Nencha - 2017 - Argumenta 2 (2):281-292.
    David Lewis may be regarded as an antiessentialist. The reason is that he is said to believe that individuals do not have essential properties independent of the ways they are represented. According to him, indeed, the properties that are determined to be essential to individuals are a matter of which similarity relations among individuals are salient, and salience, in turn, is a contextual matter also determined to some extent by the ways individuals are represented. Todd Buras argues that the acknowledgment (...)
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  29. Ersatz Counterparts.Richard Woodward - 2017 - Oxford Studies in Metaphysics 10.
    Counterpart theory has many benefits, but few are happy to accept the metaphysical setting in which this account of de re modality was developed by its architect, David Lewis. I argue here that counterpart theory can be made acceptable by the lights of those who repudiate the existence of merely possible objects. To the "ersatz" counterpart theorist I offer two stories: one about the relate of the counterpart relation and one about the relation itself. With these in place, I then (...)
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  30. Intrinsicality and counterpart theory.Michael De - 2016 - Synthese 193 (8).
    It is shown that counterpart theory and the duplication account of intrinsicality —two key pieces of the Lewisian package—are incompatible. In particular, the duplication account yields the result that certain intuitively extrinsic modal properties are intrinsic. Along the way I consider a potentially more general worry concerning certain existential closures of internal relations. One conclusion is that, unless the Lewisian provides an adequate alternative to the duplication account, the reductive nature of their total theory is in jeopardy.
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  31. Quidditism and the Resemblance of Properties.Ghislain Guigon - 2016 - Thought: A Journal of Philosophy 5 (3):177-184.
    It is widely agreed that properties play causal roles: they capture the causal powers of things. But do properties have their causal roles essentially? David Lewis did not think so. He adhered to the doctrine of quidditism, namely the doctrine that the identity of properties is primitive and that they can trade their causal roles. Quidditism is controversial. But Lewis did not see why he should want to reject it. He knew that he could avoid quidditism on the cheap by (...)
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  32. Advanced Modalizing Problems.Mark Jago - 2016 - Mind 125 (499):627-642.
    I present an internal problem for David Lewis’s genuine modal realism. My aim is to show that his analysis of modality is inconsistent with his metaphysics. I consider several ways of modifying the Lewisian analysis of modality, but argue that none are successful. I argue that the problem also affects theories related to genuine modal realism, including the stage theory of persistence and modal fictionalism.
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  33. Classical theism and modal realism are incompatible.Chad Vance - 2016 - Religious Studies 52 (4):561-572.
    The standard conception of God is that of a necessary being. On a possible worlds semantics, this entails that God exists at every possible world. According to the modal realist account of David Lewis, possible worlds are understood to be real, concrete worlds—no different in kind from the actual world. Some have argued that Lewis’s view is incompatible with classical theism (e.g., Sheehy, 2006). More recently, Ross Cameron (2009) has defended the thesis that Lewisian modal realism and classical theism are (...)
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  34. Alethic modalities, temporal modalities, and representation.Jiri Benovsky - 2015 - Kriterion - Journal of Philosophy 29 (1):19-36.
    In this article, I am interested in four versions of what is often referred to as "the Humphrey objection". This objection was initially raised by Kripke against Lewis's modal counterpart theory, so this is where I will start the discussion. As we will see, there is a perfectly good answer to the objection. I will then examine other places where a similar objection can be raised: it can arise in the case of temporal counterpart theory (in fact, it can arise (...)
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  35. Truthmaking: With and Without Counterpart Theory.Phillip Bricker - 2015 - In Barry Loewer & Jonathan Schaffer (eds.), The Blackwell Companion to David Lewis. Oxford, UK: Blackwell. pp. 159–187.
    According to the Truthmaker Principle: every truth has a truthmaker. Attempts to come to grips with the Truthmaker Principle played a prominent role in Lewis’s metaphysical writings over the last fifteen years of his career. Although Lewis agreed that the truth of propositions must somehow be ontologically grounded, the Truthmaker Principle was too strong: it conflicted with two of Lewis’s most fundamental metaphysical assumptions, the uniqueness of composition and the Humean denial of necessary connections. Lewis endorsed instead a weaker principle: (...)
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  36. Haecceitism.Sam Cowling - 2015 - Stanford Encyclopedia of Philosophy.
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  37. Coextension and Identity.Ghislain Guigon - 2015 - In Ghislain Guigon & Gonzalo Rodriguez-Pereyra (eds.), Nominalism About Properties: New Essays. Routledge. pp. 135-155.
    This chapter is concerned with the coextension difficulty for nominalist theories of properties that reject tropes alongside universals. After carefully explaining the coextension difficulty and describing the theories it targets, the chapter describes different solutions to the difficulty. These solutions differ with respect to how much involved they are into a dualist approach to coextension. A dualist approach to a case of coextension consists in agreeing with the realist that the relevant ascriptions of properties are numerically distinct. A monist approach (...)
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  38. Actualist Counterpart Theory.Jennifer Wang - 2015 - Journal of Philosophy 112 (8):417-441.
    Actualist counterpart theory replaces David Lewis’s concrete possible worlds and individuals with ersatz worlds and individuals, but retains counterpart theory about de re modality. While intuitively attractive, this view has been rejected for two main reasons: the problem of indiscernibles and the Humphrey objection. I argue that in insisting that ersatz individuals play the same role as Lewisian individuals, actualists commit the particularist fallacy. The actualist should not require stand-ins for every Lewisian individual. Ersatz individuals should instead be construed as (...)
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  39. Representing Counterparts.Andrew Bacon - 2014 - Australasian Journal of Logic 11 (2):90-113.
    This paper presents and motivates a counterpart theoretic semantics for quantifi ed modal logic based on a fleshed out account of Lewis's notion of a `possibility.' According to the account a possibility consists of a world and some haecceitistic information about how each possible individual gets represented de re. A semantics for quanti ed modal logic based on evaluating formulae at possibilities is developed. It is shown that this framework naturally accommodates an actuality operator, addressing recent objections to counterpart theory, (...)
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  40. Modal Realism, Counterpart Theory, and Unactualized Possibilities.Joseph A. Baltimore - 2014 - Metaphysica 15 (1):209–217.
    It is a commonsense thesis that unactualized possibilities are not parts of actuality. To keep his modal realism in line with this thesis, David Lewis employed his indexical account of the term “actual.” I argue that the addition of counterpart theory to Lewis’s modal realism undermines his strategy for respecting the commonsense thesis. The case made here also reveals a problem for Lewis’s attempt to avoid haecceitism.
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  41. Overall similarity, natural properties, and paraphrases.Ghislain Guigon - 2014 - Philosophical Studies 167 (2):387-399.
    I call anti-resemblism the thesis that independently of any contextual specification there is no determinate fact of the matter about the comparative overall similarity of things. Anti-resemblism plays crucial roles in the philosophy of David Lewis. For instance, Lewis has argued that his counterpart theory is anti-essentialist on the grounds that counterpart relations are relations of comparative overall similarity and that anti-resemblism is true. After Lewis committed himself to a form of realism about natural properties he maintained that anti-resemblism is (...)
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  42. The Counterpart Principle of Analogical Support by Structural Similarity.Alexandra Hill & Jeffrey Bruce Paris - 2014 - Erkenntnis 79 (S6):1-16.
    We propose and investigate an Analogy Principle in the context of Unary Inductive Logic based on a notion of support by structural similarity which is often employed to motivate scientific conjectures.
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  43. Counterpart Theory and the Paradox of Occasional Identity.Wolfgang Schwarz - 2014 - Mind 123 (492):1057-1094.
    Counterpart theory is often advertised by its track record at solving metaphysical puzzles. Here I focus on puzzles of occasional identity, wherein distinct individuals at one world or time appear to be identical at another world or time. To solve these puzzles, the usual interpretation rules of counterpart theory must be extended beyond the simple language of quantified modal logic. I present a more comprehensive semantics that allows talking about specific times and worlds, that takes into account the multiplicity and (...)
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  44. De li accidiosi che son avversi al possibile.Achille C. Varzi & Claudio Calosi - 2014 - Rivista Italiana di Filosofia Analitica Junior 5 (2):101-127.
    This is a supplement to our book "Le tribolazioni del filosofare. Comedia metaphysica ne la quale si tratta de li errori & de le pene de l’Infero". It features an entirely new canto of the poem (originally thought to be lost) along with an extensive commentary. The canto covers the first ring of the circle of the Sullen, which hosts the Adverse to the Possible, and deals with several philosophical questions concerning the metaphysics of modality.
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  45. The Counterpart Argument for Modal Scepticism.Jimmy Alfonso Licon - 2013 - Logos and Episteme 4 (1):21-29.
    Surely, it is possible that you believe falsely about this-or-that modal matter. In light of the various ways the world could be arranged, it is plausible thatthere is a nearby possible world, which would be almost identical to the actual world, if it were actualized, where you and your modal counterpart disagree over modal belief p. You might be tempted to think that your modal belief is true, while hers is not. It is not clear why this is so; after (...)
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  46. Counterpart and Appreciation Theodicies.Justin P. McBrayer - 2013 - In Justin P. McBrayer & Daniel Howard‐Snyder (eds.), The Blackwell Companion to the Problem of Evil. Oxford, UK: Wiley. pp. 192–204.
    One popular theodicy says that good can’t exist without evil, and so God must allow evil in order to allow good. Call this the counterpart theodicy. The counterpart theodicy relies on a metaphysical claim about existence—good cannot exist without evil. A second popular theodicy says that we would be unable to know/recognize/appreciate the good without evil, and so God is forced to allow evil in order to allow for such appreciation. Call this the appreciation theodicy. The appreciation theodicy relies on (...)
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  47. 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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  48. 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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  49. Possible Worlds and the Objective World.Jeffrey Sanford Russell - 2013 - Philosophy and Phenomenological Research 90 (2):389-422.
    David Lewis holds that a single possible world can provide more than one way things could be. But what are possible worlds good for if they come apart from ways things could be? We can make sense of this if we go in for a metaphysical understanding of what the world is. The world does not include everything that is the case—only the genuine facts. Understood this way, Lewis's “cheap haecceitism” amounts to a kind of metaphysical anti-haecceitism: it says there (...)
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  50. How to Lewis a Kripke–Hintikka.Alessandro Torza - 2013 - Synthese 190 (4):743-779.
    It has been argued that a combination of game-theoretic semantics and independence-friendly (IF) languages can provide a novel approach to the conceptual foundations of mathematics and the sciences. I introduce and motivate an IF first-order modal language endowed with a game-theoretic semantics of perfect information. The resulting interpretive independence-friendly logic (IIF) allows to formulate some basic model-theoretic notions that are inexpressible in the ordinary quantified modal logic. Moreover, I argue that some key concepts of Kripke’s new theory of reference are (...)
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