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On the Plurality of Worlds

Malden, Mass.: Wiley-Blackwell (1986)

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  1. Classes, why and how.Thomas Schindler - 2019 - Philosophical Studies 176 (2):407-435.
    This paper presents a new approach to the class-theoretic paradoxes. In the first part of the paper, I will distinguish classes from sets, describe the function of class talk, and present several reasons for postulating type-free classes. This involves applications to the problem of unrestricted quantification, reduction of properties, natural language semantics, and the epistemology of mathematics. In the second part of the paper, I will present some axioms for type-free classes. My approach is loosely based on the Gödel–Russell idea (...)
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  • Possible Worlds: Structure and Stuff.Manuel Pérez Otero - 2010 - Philosophical Papers 39 (2):209-237.
    Timothy Williamson has defended the claim that any philosophically satisfying conception of modality that encompasses possible worlds semantics (PWS) commits us to the Barcan Formula. His argument depends on the assumption that the domain of what there is (the domain of the actual world) has to be identified with the domain D(@), where @ is the index or possible world that in PWS represents , or stands for , the actual world. I work out an interpretation of the relation between (...)
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  • The hybrid theory of time.Neil McKinnon - 1999 - Philosophical Papers 28 (1):37-53.
    Time passes; sometimes swiftly, sometimes interminably, but always it passes. We see the world change as events emerge from the shroud of the future, clandestinely slinking into the past almost immediately as though they are reluctant to meet our gaze: children are born, old friends and relatives die, governments once full of youthful enthusiasm wane. If the Earth were sentient, it might feel itself being torn apart as tectonic plates diverge, and chuckle as it outlived species upon species of transient (...)
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  • A Non-modal Conception of Secondary Properties.Manuel García-Carpintero - 2007 - Philosophical Papers 36 (1):1-33.
    There seems to be a distinction between primary and secondary properties; some philosophers defend the view that properties like colours and values are secondary, while others criticize it. The distinction is usually introduced in terms of essence; roughly, secondary properties essentially involve mental states, while primary properties do not. In part because this does not seem very illuminating, philosophers have produced different reductive analyses in modal terms, metaphysic or epistemic. Here I will argue, firstly, that some well-known examples fail, and (...)
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  • No Physical Particles for a Dispositional Monist?Baptiste Le Bihan - 2015 - Philosophical Papers 44 (2):207-232.
    Dispositional monists believe that all properties are essentially causal. Recently, an overdetermination argument has been proposed by Trenton Merricks to support nihilism about ordinary objects. I argue that this argument can be extended to target both nihilism about ordinary objects and nihilism about physical particles when dispositional monism is assumed. It implies that a philosopher who both endorses dispositional monism and takes seriously the overdetermination argument should not believe in the existence of physical particles. I end up by discussing possible (...)
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  • An Extended Lewis-Stalnaker Semantics and The New Problem of Counterpossibles.Jeffrey Goodman - 2004 - Philosophical Papers 33 (1):35-66.
    Closest-possible-world analyses of counterfactuals suffer from what has been called the ‘problem of counterpossibles’: some counterfactuals with metaphysically impossible antecedents seem plainly false, but the proposed analyses imply that they are all (vacuously) true. One alleged solution to this problem is the addition of impossible worlds. In this paper, I argue that the closest possible or impossible world analyses that have recently been suggested suffer from the ‘new problem of counterpossibles’: the proposed analyses imply that some plainly true counterpossibles (viz., (...)
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  • Supervenience physicalism: Meeting the demands of determination and explanation.Thomas Gardner - 2005 - Philosophical Papers 34 (2):189-208.
    Abstract Non-reductive physicalism is currently the most widely held metaphysic of mind. My aim in this essay is to show that supervenience physicalism?perhaps the most common form of non-reductive physicalism?is not a defensible position. I argue that, in order for any supervenience thesis to ground a legitimate form of physicalism, it must yield the right sort of determination relation between physical and non-physical properties. Then I argue that non-reductionism leaves one without any explanation for the laws that are implied by (...)
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  • Engaging with Pike: God, Freedom, and Time.John Martin Fischer, Patrick Todd & Neal Tognazzini - 2009 - Philosophical Papers 38 (2):247-270.
    Nelson Pike’s article, “Divine Omniscience and Voluntary Action,” is one of the most influential pieces in contemporary Philosophy of Religion. Published over forty years ago, it has elicited many different kinds of replies. We shall set forth some of the main lines of reply to Pike’s article, starting with some of the “early” replies. We then explore some issues that arise from relatively recent work in the philosophy of time; it is fascinating to note that views suggested by recent work (...)
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  • The Path To Supersubstantivalism.Joshua D. Moulton - unknown
    This dissertation is divided into two parts. In the first part I defend substantivalism. I do this by offering, in chapter 1, a counterpart-theoretic defense of substantivalism from Leibniz’ shift arguments. Then, in chapter 2, I defend substantivalism from the hole argument and argue, against the consensus, that the question of haecceitism is irrelevant to substantivalism in the context of general relativity. In the second part of the dissertation I defend supersubstantivalism. I do this by offering, in chapter 3, an (...)
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  • Physical Geometry.James P. Binkoski - 2016 - Dissertation, University of Massachusetts, Amherst
    All physical theories, from classical Newtonian mechanics to relativistic quantum field theory, entail propositions concerning the geometric structure of spacetime. To give an example, the general theory of relativity entails that spacetime is curved, smooth, and four-dimensional. In this dissertation, I take the structural commitments of our theories seriously and ask: how is such structure instantiated in the physical world? Mathematically, a property like 'being curved' is perfectly well-defined insofar as we know what it means for a mathematical space to (...)
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  • A Defense of Hume's Dictum.Cameron Gibbs - 2019 - Dissertation, University of Massachusetts Amherst
    Is the world internally connected by a web of necessary connections or is everything loose and independent? Followers of David Hume accept the latter by upholding Hume’s Dictum, according to which there are no necessary connections between distinct existences. Roughly put, anything can coexist with anything else, and anything can fail to coexist with anything else. Hume put it like this: “There is no object which implies the existence of any other if we consider these objects in themselves.” Since Hume’s (...)
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  • What is the Benacerraf Problem?Justin Clarke-Doane - 2017 - In Fabrice Pataut Jody Azzouni, Paul Benacerraf Justin Clarke-Doane, Jacques Dubucs Sébastien Gandon, Brice Halimi Jon Perez Laraudogoitia, Mary Leng Ana Leon-Mejia, Antonio Leon-Sanchez Marco Panza, Fabrice Pataut Philippe de Rouilhan & Andrea Sereni Stuart Shapiro (eds.), New Perspectives on the Philosophy of Paul Benacerraf: Truth, Objects, Infinity (Fabrice Pataut, Editor). Springer.
    In "Mathematical Truth", Paul Benacerraf articulated an epistemological problem for mathematical realism. His formulation of the problem relied on a causal theory of knowledge which is now widely rejected. But it is generally agreed that Benacerraf was onto a genuine problem for mathematical realism nevertheless. Hartry Field describes it as the problem of explaining the reliability of our mathematical beliefs, realistically construed. In this paper, I argue that the Benacerraf Problem cannot be made out. There simply is no intelligible problem (...)
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  • The iterative conception of function and the iterative conception of set.Tim Button - 2023 - In Carolin Antos, Neil Barton & Giorgio Venturi (eds.), The Palgrave Companion to the Philosophy of Set Theory. Palgrave.
    Hilary Putnam once suggested that “the actual existence of sets as ‘intangible objects’ suffers… from a generalization of a problem first pointed out by Paul Benacerraf… are sets a kind of function or are functions a sort of set?” Sadly, he did not elaborate; my aim, here, is to do so on his behalf. There are well-known methods for treating sets as functions and functions as sets. But these do not raise any obvious philosophical or foundational puzzles. For that, we (...)
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  • Assessment Sensitivity: Relative Truth and its Applications.John MacFarlane - 2014 - Oxford: Oxford University Press.
    John MacFarlane explores how we might make sense of the idea that truth is relative. He provides new, satisfying accounts of parts of our thought and talk that have resisted traditional methods of analysis, including what we mean when we talk about what is tasty, what we know, what will happen, what might be the case, and what we ought to do.
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  • Meaning and Metaphysical Necessity.Tristan Grotvedt Haze - 2022 - New York: Routledge.
    This book is about the idea that some true statements would have been true no matter how the world had turned out, while others could have been false. It develops and defends a version of the idea that we tell the difference between these two types of truths in part by reflecting on the meanings of words. It has often been thought that modal issues—issues about possibility and necessity—are related to issues about meaning. In this book, the author defends the (...)
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  • Introduction: Epistemic Modals.Brit Brogaard & Dimitria Electra Gatzia - 2017 - Topoi 36 (1):127-130.
    Theorists with otherwise radically different commitments agree that epistemic modals mark the necessity or possibility of a prejacent proposition relative to a body of evidence or knowledge. However, there is vast disagreement about the semantics of epistemic modals, which stems in part from the fact that statements of epistemic possibility or necessity make no explicit reference to a speaker or group, an audience, or an evidence set. This volume introduces new philosophical papers that mark a significant contribution to the debate (...)
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  • Naturalised Modal Epistemology.Daniel Nolan - 2016 - In Bob Fischer & Felipe Leon (eds.), Modal Epistemology After Rationalism. Cham: Springer. pp. 7-27.
    The philosophy of necessity and possibility has flourished in the last half-century, but much less attention has been paid to the question of how we know what can be the case and what must be the case. Many friends of modal metaphysics and many enemies of modal metaphysics have agreed that while empirical discoveries can tell us what is the case, they cannot shed much light on what must be the case or on what non-actual possibilities there are. In this (...)
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  • Identity.Harold Noonan & Benjamin L. Curtis - 2022 - Stanford Encyclopedia of Philosophy.
    Much of the debate about identity in recent decades has been about personal identity, and specifically about personal identity over time, but identity generally, and the identity of things of other kinds, have also attracted attention. Various interrelated problems have been at the centre of discussion, but it is fair to say that recent work has focussed particularly on the following areas: the notion of a criterion of identity; the correct analysis of identity over time, and, in particular, the disagreement (...)
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  • The Physics and Metaphysics of Pure Shape Dynamics.Antonio Vassallo, Pedro Naranjo & Tim Koslowski - 2022 - In The Foundations of Spacetime Physics: Philosophical Perspectives. New York, NY: Routledge.
    The goal of this essay is twofold. First, it provides a quick look at the foundations of modern relational mechanics by tracing its development from Julian Barbour and Bruno Bertotti's original ideas until present-day's pure shape dynamics. Secondly, it discusses the most appropriate metaphysics for pure shape dynamics, showing that relationalism is more of a nuanced thesis rather than an elusive one. The chapter ends with a brief assessment of the prospects of pure shape dynamics in light of quantum physics.
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  • Four Attitudes Towards Singularities in the Search for a Theory of Quantum Gravity.Karen Crowther & Sebastian De Haro - 2022 - In Antonio Vassallo (ed.), The Foundations of Spacetime Physics: Philosophical Perspectives. New York, NY: Routledge. pp. 223-250.
    Singularities in general relativity and quantum field theory are often taken not only to motivate the search for a more-fundamental theory (quantum gravity, QG), but also to characterise this new theory and shape expectations of what it is to achieve. Here, we first evaluate how particular types of singularities may suggest an incompleteness of current theories. We then classify four different 'attitudes' towards singularities in the search for QG, and show, through examples in the physics literature, that these lead to (...)
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  • Plenitude and Recombination.Alastair Wilson - 2022 - In Helen Beebee & A. R. J. Fisher (eds.), Perspectives on the Philosophy of David K. Lewis. Oxford: Oxford University Press.
    In On the Plurality of Worlds (Lewis 1986), David Lewis imposes a condition on realist theories of modality which he calls ‘plenitude’. Lewis apparently assigns this condition considerable importance, and uses it to motivate his Humean principle of recombination, but he never says exactly what plenitude amounts to. This chapter first sets aside some obvious ways of reconstructing the plenitude criterion which do not fit with the textual evidence. An objection to modal realism due to John Divers and Joseph Melia (...)
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  • On Discovering God in the Pluriverse.Mike Almeida - 2020 - In Kirk Lougheed (ed.), Four Views on the Axiology of Theism: What Difference Does God Make? Bloomsbury Publishing. pp. 19-40.
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  • Naturalism and Non-Qualitative Properties.Sam Cowling - 2020 - In Luis R. G. Oliveira & Kevin Corcoran (eds.), Common Sense Metaphysics: Essays in Honor of Lynne Rudder Baker. New York, NY: Routledge. pp. 209-238.
    Lynne Baker’s case for the incompatibility of naturalism with the first-person perspective raises a range of questions about the relationship between naturalism and the various properties involved in first-person perspectives. After arguing that non-qualitative properties—most notably, haecceities like being Lynne Baker—are ineliminably tied to first-person perspectives, this paper considers whether naturalism and non-qualitative properties are, in fact, compatible. In doing so, the discussion focus on Shamik Dasupgta’s argument against individuals and, in turn, non-qualitative properties. Several strategies for undermining Dasgupta's argument (...)
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  • Composition and the will of God.Eric Yang & Stephen T. Davis - 2017 - In T. Ryan Byerly & Eric J. Silverman (eds.), Paradise Understood: New Philosophical Essays About Heaven. Oxford University Press.
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  • B-Theory and Time Biases.Sayid Bnefsi - 2019 - In Patrick Blackburn, Per Hasle & Peter Øhrstrøm (eds.), Logic and Philosophy of Time: Further Themes from Prior. Aalborg University Press. pp. 41-52.
    We care not only about what experiences we have, but when we have them too. However, on the B-theory of time, something’s timing isn’t an intrinsic way for that thing to be or become. Given B-theory, should we be rationally indifferent about the timing per se of an experience? In this paper, I argue that B-theorists can justify time-biased preferences for pains to be past rather than present and for pleasures to be present rather than past. In support of this (...)
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  • Kant on Modality.Colin Marshall & Aaron Barker - forthcoming - In Andrew Stephenson & Anil Gomes (eds.), Oxford Handbook of Kant. Oxford, UK: Oxford University Press.
    This chapter analyzes several key themes in Kant’s views about modality. We begin with the pre-critical Only Possible Argument in Support of a Demonstration of the Existence of God, in which Kant distinguishes between formal and material elements of possibility, claims that all possibility requires an actual ground, and argues for the existence of a single necessary being. We then briefly consider how Kant’s views change in his mature period, especially concerning the role of form and thought in defining modality. (...)
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  • Why Is There Something, Rather Than Nothing?Sean M. Carroll - 2022 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to Philosophy of Physics. London, UK: Routledge.
    It seems natural to ask why the universe exists at all. Modern physics suggests that the universe can exist all by itself as a self-contained system, without anything external to create or sustain it. But there might not be an absolute answer to why it exists. I argue that any attempt to account for the existence of something rather than nothing must ultimately bottom out in a set of brute facts; the universe simply is, without ultimate cause or explanation.
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  • Quantifier Variance.Eli Hirsch & Jared Warren - 2019 - In Martin Kusch (ed.), The Routledge Handbook of Philosophy of Relativism. Routledge. pp. 349-357.
    Quantifier variance is a well-known view in contemporary metaontology, but it remains very widely misunderstood by critics. Here we briefly and clearly explain the metasemantics of quantifier variance and distinguish between modest and strong forms of variance (Section I), explain some key applications (Section II), clear up some misunderstandings and address objections (Section III), and point the way toward future directions of quantifier-variance-related research (Section IV).
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  • Irrealism about Grounding.Naomi Thompson - 2018 - In Anthony O'Hear (ed.), Metaphysics. Cambridge, United Kingdom: Cambridge University Press.
    In this paper I explore irrealist alternatives to orthodox realism about grounding, and claim that at least some of these alternatives represent fertile areas for future discussion.
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  • The Noetic Account of Scientific Progress and the Factivity of Understanding.Fabio Sterpetti - 2018 - In David Danks & Emiliano Ippoliti (eds.), Building Theories: Heuristics and Hypotheses in Sciences. Cham: Springer International Publishing.
    There are three main accounts of scientific progress: 1) the epistemic account, according to which an episode in science constitutes progress when there is an increase in knowledge; 2) the semantic account, according to which progress is made when the number of truths increases; 3) the problem-solving account, according to which progress is made when the number of problems that we are able to solve increases. Each of these accounts has received several criticisms in the last decades. Nevertheless, some authors (...)
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  • Being Someone Else.Martin Glazier - 2020 - In John Schwenkler & Enoch Lambert (eds.), Becoming Someone New: Essays on Transformative Experience, Choice, and Change. Oxford University Press.
    Could I have been someone other than who I am? Philosophers from Williams to Nagel to Lewis have been tempted to answer 'yes', but how can we make sense of such a view? I argue that to say that it is contingent who I am is to say that it is contingent what perspective I have, in a distinctively metaphysical sense of perspective.
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  • Normative Commitments in Metanormative Theory.Pekka Väyrynen - 2018 - In Jussi Suikkanen & Antti Kauppinen (eds.), Methodology and Moral Philosophy. New York: Routledge. pp. 193-213.
    First-order normative theories concerning what’s right and wrong, good and bad, etc. and metanormative theories concerning the nature of first-order normative thought and talk are widely regarded as independent theoretical enterprises. This paper argues that several debates in metanormative theory involve views that have first-order normative implications, even as the implications in question may not be immediately recognizable as normative. I first make my claim more precise by outlining a general recipe for generating this result. I then apply this recipe (...)
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  • A Category Semantics.Paul Symington - 2018 - In M. W. Hackett Paul (ed.), Mereologies, Ontologies, and Facets: The Categorial Structure of Reality. Lanham: Rowman & Littlefield. pp. 65-85.
    In this paper, I present a categorial theory of meaning which asserts that the meaning of a sentence is the function from the actualization of some potentiality or the potentiality of some actuality to the truth of the sentence. I argue that it builds on the virtues of David Lewis’s Possible World Semantics but advances beyond problems that Lewis’s theory faces with its distinctly Aristotelian turn toward actuality and potentiality.
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  • Theory Dualism and the Metalogic of Mind-Body Problems.T. Parent - 2015 - In Christopher Daly (ed.), Palgrave Handbook on Philosophical Methods. Palgrave Macmillan. pp. 497-526.
    The paper defends the philosophical method of "regimentation" by example, especially in relation to the theory of mind. The starting point is the Place-Smart after-image argument: A green after-image will not be located outside the skull, but if we cracked open your skull, we won't find anything green in there either. (If we did, you'd have some disturbing medical news.) So the after-image seems not to be in physical space, suggesting that it is non-physical. In response, I argue that the (...)
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  • Ontological Commitment and Quantifiers.T. Parent - 2020 - In Ricki Bliss & James Miller (eds.), The Routledge Handbook of Metametaphysics. New York, NY: Routledge.
    This is a slightly opinionated review of three main factions in metaontology: Quineans, Carnapians, and Meinongians. Emphasis is given to the last camp, as the metaontological aspect of Meinongianism has been underappreciated. The final section then offers some general remarks about the legitimacy of ontology, touching on ideas I have developed in other publications.
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  • ‘Thing’ and ‘non-thing’ ontologies.Esfeld Michael - 2020 - In Ricki Bliss & James Miller (eds.), The Routledge Handbook of Metametaphysics. New York, NY: Routledge.
    Thing ontologies are ontologies that consider the universe to be made up of a plurality of discrete objects. Non-thing ontologies can take the form of ontologies of discrete objects, too, but not necessarily so: they can also be conceived as ontologies of one continuous object. The paper considers the central versions of ontologies of discrete objects first, starting with thing ontologies, moving from there to non-thing ontologies of discrete objects and finally ontologies of one continuous object.
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  • Metaphysical Contingentism.Kristie Miller - 2020 - In Ricki Bliss & James Miller (eds.), The Routledge Handbook of Metametaphysics. New York, NY: Routledge. pp. 405-420.
    Let us distinguish two kinds of contingentism: entity contingentism and metaphysical contingentism. Here, I use ‘entity’ very broadly to include anything over which we can quantify—objects (abstract and concrete), properties, and relations. Then entity contingentism about some entity, E, is the view that E exists contingently: that is, that E exists in some possible worlds and not in others. By contrast, entity necessitarianism about E is the view that E exists of necessity: that is, that E exists in all possible (...)
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  • The Philosophy of Phenomenal Consciousness.Zoe Drayson - 2015 - In Drayson Zoe (ed.), The Constitution of Phenomenal Consciousness. pp. 273-292.
    A primer on the philosophical issues relating to phenomenal consciousness, part of a collection of new papers by scientists and philosophers on the constitution of consciousness.
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  • Pictures and Properties.Ben Blumson - 2014 - In Resemblance and Representation: An Essay in the Philosophy of Pictures. Cambridge, UK: Open Book Publishers. pp. 179-198.
    It’s a platitude that a picture is realistic to the degree to which it resembles what it represents (in relevant respects). But if properties are abundant and degrees of resemblance are proportions of properties in common, then the degree of resemblance between different particulars is constant (or undefined), which is inconsonant with the platitude. This paper argues this problem should be resolved by revising the analysis of degrees of resemblance in terms of proportion of properties in common, and not by (...)
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  • Modes of Being and Non-Being: Existence, Occurrence, and Validity.Friederike Moltmann - forthcoming - Grazer Philosophische Studien.
    Existence as reflected in natural language is not a univocal notion, but divides into different modes of being, such as existence (as, roughly, endurance) and occurrence. One aim of the paper is to distinguish sharply between abstract artifacts and non-existent objects (e.g., plans vs. planned events that fail to occur); another is to argue for validity as a mode of being distinct from existence, as well as for corresponding distinctions among non-being.
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  • Models, Idealisations, and Realism.Juha Saatsi - 2016 - In Emiliano Ippoliti, Fabio Sterpetti & Thomas Nickles (eds.), Models and Inferences in Science. Cham: Springer.
    I explore a challenge that idealisations pose to scientific realism and argue that the realist can best accommodate idealisations by capitalising on certain modal features of idealised models that are underwritten by laws of nature.
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  • Why Parthood Might Be a Four Place Relation, and How it Behaves if it Is.Cody Gilmore - 2009 - In Benedikt Schick, Edmund Runggaldier & Ludger Honnefelder (eds.), Unity and Time in Metaphysics. Walter de Gruyter. pp. 83--133.
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  • Understanding and Structure.Allan Hazlett - 2017 - In Stephen R. Grimm (ed.), Making Sense of the World: New Essays on the Philosophy of Understanding. New York, NY, United States of America: Oxford University Press.
    In the Phaedrus, Socreates sympathetically describes the ability “to cut up each kind according to its species along its natural joints, and to try not to splinter any part, as a bad butcher might do.” (265e) In contemporary philosophy, Ted Sider (2009, 2011) defends the same idea. As I shall put it, Plato and Sider’s idea is that limning structure is an epistemic goal. My aim in this paper is to articulate and defend this idea. First, I’ll articulate the notion (...)
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  • Persistence and Ontological Pluralism.Pierre Grenon & Barry Smith - 2007 - In Christian Kanzian (ed.), Persistence. Ontos. pp. 33-48.
    We aim to provide the ontological grounds for an adequate account of persistence. We defend a perspectivalist, or moderate pluralist, position, according to which some aspects of reality can be accounted for in ontological terms only via partial and mutually complementary ontologies, each one of which captures some relevant aspect of reality. Our thesis here is that this is precisely the sort of ontological account that is needed for the understanding of persistence, specifically an account involving two independent ontologies, one (...)
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  • How Truth Relates to Reality.Joshua Rasmussen - 2013 - American Philosophical Quarterly 50 (2):167-180.
    Many people think that truth somehow depends upon the way things are. Yet, it has proven difficult to precisely explain the nature of this dependence. The most common view is that truth depends upon the way things are by corresponding to things. But this account relocates the difficulty: one now wonders what correspondence is. It is worth emphasizing that the question of how truth relates to reality is not only a question for correspondence theorists; theorists of all stripes may wonder (...)
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  • Truthmakers and Modality.Ross Paul Cameron - 2008 - Synthese 164 (2):261 - 280.
    This paper attempts to locate, within an actualist ontology, truthmakers for modal truths: truths of the form or . In Sect. 1 I motivate the demand for substantial truthmakers for modal truths. In Sect. 21 criticise Armstrong's account of truthmakers for modal truths. In Sect. 31 examine essentialism and defend an account of what makes essentialist attributions true, but I argue that this does not solve the problem of modal truth in general. In Sect. 41 discuss, and dismiss, a theistic (...)
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  • A Church–Fitch proof for the universality of causation.Christopher Gregory Weaver - 2013 - Synthese 190 (14):2749-2772.
    In an attempt to improve upon Alexander Pruss’s work (The principle of sufficient reason: A reassessment, pp. 240–248, 2006), I (Weaver, Synthese 184(3):299–317, 2012) have argued that if all purely contingent events could be caused and something like a Lewisian analysis of causation is true (per, Lewis’s, Causation as influence, reprinted in: Collins, Hall and paul. Causation and counterfactuals, 2004), then all purely contingent events have causes. I dubbed the derivation of the universality of causation the “Lewisian argument”. The Lewisian (...)
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  • What could be caused must actually be caused.Christopher Gregory Weaver - 2012 - Synthese 184 (3):299-317.
    I give two arguments for the claim that all events which occur at the actual world and are such that they could be caused, are also such that they must actually be caused. The first argument is an improvement of a similar argument advanced by Alexander Pruss, which I show to be invalid. It uses Pruss’s Brouwer Analog for counterfactual logic, and, as a consequence, implies inconsistency with Lewis’s semantics for counterfactuals. While (I suggest) this consequence may not be objectionable, (...)
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  • Regular probability comparisons imply the Banach–Tarski Paradox.Alexander R. Pruss - 2014 - Synthese 191 (15):3525-3540.
    Consider the regularity thesis that each possible event has non-zero probability. Hájek challenges this in two ways: there can be nonmeasurable events that have no probability at all and on a large enough sample space, some probabilities will have to be zero. But arguments for the existence of nonmeasurable events depend on the axiom of choice. We shall show that the existence of anything like regular probabilities is by itself enough to imply a weak version of AC sufficient to prove (...)
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  • The cardinality objection to David Lewis's modal realism.Alexander R. Pruss - 2001 - Philosophical Studies 104 (2):169-178.
    According to David Lewis's extreme modal realism, every waythat a world could be is a way that some concretely existingphysical world really is. But if the worlds are physicalentities, then there should be a set of all worlds, whereasI show that in fact the collection of all possible worlds is nota set. The latter conclusion remains true even outside of theLewisian framework.
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