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  1. Chemical Possibility and Modal Semantics.Mark Sharlow - 2007
    This paper is a study of a distinctively chemical notion of possibility. This is the notion of possibility that occurs in chemical discourses when chemists speak of the possibility or impossibility of achieving a given result through chemical means. This notion pertains to the possibility of processes, not of compounds, so it differs from the kind of chemical possibility mentioned in Wittgenstein's Philosophical Investigations or the kinds discussed in the literature on Putnam's Twin Earth argument. I argue that this process-oriented (...)
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  2. Nomothetic Explanation and Humeanism About Laws of Nature.Harjit Bhogal - forthcoming - Oxford Studies in Metaphysics.
    Humeanism about laws of nature — the view that the laws reduce to the Humean mosaic — is a popular view, but currently existing versions face powerful objections. The non-supervenience objection, the non-fundamentality objection and the explanatory circularity objection have all been thought to cause problems for the Humean. However, these objections share a guiding thought — they are all based on the idea that there is a certain kind of divergence between the practice of science and the metaphysical picture (...)
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  3. Deontic Logic and Natural Language.Fabrizio Cariani - forthcoming - In Dov Gabbay, Ron van der Meyden, John Horty, Xavier Parent & Leandert van der Torre (eds.), The Handbook of Deontic Logic (Vol. II). College Publications.
    There has been a recent surge of work on deontic modality within philosophy of language. This work has put the deontic logic tradition in contact with natural language semantics, resulting in significant increase in sophistication on both ends. This chapter surveys the main motivations, achievements, and prospects of this work.
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  4. A Strictly Stronger Relative Must.Christopher Gauker - forthcoming - Thought: A Journal of Philosophy.
    It is widely accepted that when ‘might’ expresses certain kinds of relative modality, the sentence ‘p and it might not be the case that p’ is in some sense inconsistent. It has proven difficult to define a formal semantics that explicates this inconsistency while meeting certain other desiderata, in particular, that p does not imply ‘Must p’. This paper presents such a semantics. The key idea is that background contexts have to have multiple levels, including an inner set consisting of (...)
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  5. The Ability to Do Otherwise and the New Dispositionalism.Romy Jaster - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    According to the New Dispositionalist’s response to the Frankfurt Cases, Jones can do otherwise because Black merely masks (or finks), but does not deprive Jones of the relevant ability. This reasoning stands in the tradition of a line of thought according to which an informed view of the truth conditions of ability attributions allows for a compatibilist stance. The promise is that once we understand how abilities work, it turns out that the ability to do otherwise is compatible with determinism, (...)
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  6. Modal Objectivity.Clarke-Doane Justin - forthcoming - Noûs.
    It is widely agreed that the intelligibility of modal metaphysics has been vindicated. Quine's arguments to the contrary supposedly confused analyticity with metaphysical necessity, and rigid with non-rigid designators.2 But even if modal metaphysics is intelligible, it could be misconceived. It could be that metaphysical necessity is not absolute necessity – the strictest real notion of necessity – and that no proposition of traditional metaphysical interest is necessary in every real sense. If there were nothing otherwise “uniquely metaphysically significant” about (...)
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  7. Nicht (ganz) agentive Fähigkeiten, unterlassene Handlungen und misslungene Versuche: Antworten auf David Heering und David Löwenstein.Romy Jaster - 2020 - Zeitschrift für Philosophische Forschung 74 (3):460-464.
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  8. What Tim Can and Cannot Do: A Paradox of Time Travel Revisited.Romy Jaster - 2020 - Kriterion - Journal of Philosophy 34 (4):93-112.
    Time travel, it has been argued, leads to paradoxes, and in particular to a problem known as the grandfather paradox. Lewis has famously argued for the now standard view that the grandfather paradox is merely apparent. But underlying Lewis's solution is a faulty account of ability statements – one, according to which ability statements express possibility statements. I argue, contrary to Vihvelin and others, that an ameliorated view of ability statements allows for the same treatment of the seeming paradox. Hence, (...)
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  9. Expansionism and Mereological Universalism.Giorgio Lando - 2020 - Theoria 86 (2):187-219.
    Mereological universalists, according to whom every plurality of entities has a fusion, usually claim that most quantifications are restricted to ordinary entities. However, there is no evidence that our usual quantifications over ordinary objects are restricted. In this article I explore an alternative way of reconciling Mereological Universalism with our usual quantifications. I resort to a modest form of ontological expansionism and to the so-called interpretational modalities. Quantifications over ordinary objects are the initial stages of the expansion. From these initial (...)
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  10. Divine Foreknowledge and Providence in the Commentaries of Boethius and Aquinas on the De Interpretatione 9 by Aristotle.David Torrijos-Castrillejo - 2020 - Biblica Et Patristica Thoruniensia 13:151-173.
    Boethius represents one of the most important milestones in Christian reflection about fate and providence, especially considering that he takes into account Proclus’ contributions to these questions. For this reason, The Consolation of philosophy is considered a crucial work for the development of this topic. However, Boethius also exposes his ideas in his commentary on the book that constitutes one of the oldest and most relevant texts on the problem of future contingents, namely Aristotle’s De interpretatione. Although St. Thomas refers (...)
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  11. 'On a Supposed Puzzle Concerning Modality and Existence'.Thomas Atkinson, Daniel J. Hill & Stephen K. McLeod - 2019 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 26 (3):446-473.
    Kit Fine has proposed a new solution to what he calls ‘a familiar puzzle’ concerning modality and existence. The puzzle concerns the argument from the alleged truths ‘It is necessary that Socrates is a man’ and ‘It is possible that Socrates does not exist’ to the apparent falsehood ‘It is possible that Socrates is a man and does not exist’. We discuss in detail Fine’s setting up of the ‘puzzle’ and his rejection, with which we concur, of two mooted solutions (...)
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  12. Metaphysical and Absolute Possibility.Justin Clarke-Doane - 2019 - Synthese 198 (Suppl 8):1861-1872.
    It is widely alleged that metaphysical possibility is “absolute” possibility Conceivability and possibility, Clarendon, Oxford, 2002, p 16; Stalnaker, in: Stalnaker Ways a world might be: metaphysical and anti-metaphysical essays, Oxford University Press, Oxford, 2003, pp 201–215; Williamson in Can J Philos 46:453–492, 2016). Kripke calls metaphysical necessity “necessity in the highest degree”. Van Inwagen claims that if P is metaphysically possible, then it is possible “tout court. Possible simpliciter. Possible period…. possib without qualification.” And Stalnaker writes, “we can agree (...)
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  13. Modal Objectivity1.Justin Clarke‐Doane - 2019 - Noûs 53 (2):266-295.
    It is widely agreed that the intelligibility of modal metaphysics has been vindicated. Quine's arguments to the contrary supposedly confused analyticity with metaphysical necessity, and rigid with non-rigid designators.2 But even if modal metaphysics is intelligible, it could be misconceived. It could be that metaphysical necessity is not absolute necessity – the strictest real notion of necessity – and that no proposition of traditional metaphysical interest is necessary in every real sense. If there were nothing otherwise “uniquely metaphysically significant” about (...)
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  14. The Future, and What Might Have Been.Graeme A. Forbes & R. A. Briggs - 2019 - Philosophical Studies 176 (2):505-532.
    We show that five important elements of the ‘nomological package’— laws, counterfactuals, chances, dispositions, and counterfactuals—needn’t be a problem for the Growing-Block view. We begin with the framework given in Briggs and Forbes (in The real truth about the unreal future. Oxford studies in metaphysics. Oxford University Press, Oxford, 2012 ), and, taking laws as primitive, we show that the Growing-Block view has the resources to provide an account of possibility, and a natural semantics for non-backtracking causal counterfactuals. We show (...)
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  15. Intensionality and Hyperintensionality.Daniel Nolan - 2019 - Routledge Encyclopedia of Philosophy.
    Routledge Encyclopedia entry on Intensionality and Hyperintensionality.
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  16. Causal Overdetermination: Still Crazy After All These Years. Part I: What Is at Stake?Tuomas K. Pernu - 2018 - Philosophical Forum 49 (2):231-244.
    Causal overdetermination occupies an uncomfortable place within all the major theories of causation. A natural solution to the problems it gives rise to would be to resolve overdetermination into preemption or joint causation. However, such a solution would seem to lead to individuate events in a fragile manner. The issue of such modal fragility is addressed and it is argued that events designated as effects are always fragile in a natural way and the putative problems of adopting modal fragility can (...)
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  17. The Difference Between Epistemic and Metaphysical Necessity.Martin Glazier - 2017 - Synthese 198 (Suppl 6):1409-1424.
    Philosophers have observed that metaphysical necessity appears to be a true or real or genuine form of necessity while epistemic necessity does not. Similarly, natural necessity appears genuine while deontic necessity does not. But what is it for a form of necessity to be genuine? I defend an account of genuine necessity in explanatory terms. The genuine forms of necessity, I argue, are those that provide what I call necessitarianexplanation. I discuss the relationship of necessitarian explanation to ground.
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  18. Relative Necessity Reformulated.Bob Hale & Jessica Leech - 2017 - Journal of Philosophical Logic 46 (1):1-26.
    This paper discusses some serious difficulties for what we shall call the standard account of various kinds of relative necessity, according to which any given kind of relative necessity may be defined by a strict conditional - necessarily, if C then p - where C is a suitable constant proposition, such as a conjunction of physical laws. We argue, with the help of Humberstone, that the standard account has several unpalatable consequences. We argue that Humberstone’s alternative account has certain disadvantages, (...)
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  19. Two Kinds of Necessity in Descartes: Conditional and Absolute.Saniye Vatansever - 2017 - Filosofia Unisinos 18 (2).
    This paper attempts to resolve the apparent conflict between Descartes’ commitments to the creation doctrine and the necessity of eternal truths by elaborating different conceptions of necessity in Descartes’ framework. More specifically, I argue that the fact that Descartes concedes the necessity of eternal truths does not compel him to assert the impossibility of their negation. Necessity, for Descartes, rather means immutability. Descartes distinguishes two kinds of immutable truths. While truths about God’s essence are absolutely immutable, truths about the essences (...)
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  20. A Note on Morato on Modality and Explanation.Nathan Wildman - 2017 - Erkenntnis 82 (5):967-974.
    This brief note critically assesses the central arguments in Morato’s recent contribution to the growing literature on Blackburn’s dilemma about necessity. In particular, I demonstrate that neither of Morato’s two novel reconstructions of the dilemma’s contingency horn succeed, since both turn on false premises; and, Morato fails to adequately motivate his own response to these reconstructions. The upshot is that Morato has set himself a pair of flawed problems, then offered a flawed solution.
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  21. Modality as a Subject for Science.Timothy Williamson - 2017 - Res Philosophica 94 (3):415-436.
    Section 1 introduces the category of objective modality, closely related to linguists’ category of circumstantial or dynamic modals, and explains metaphysical modality as its maximal element. Section 2 discusses various kinds of skepticism about modality, as in Hume and recent authors, and argues that it is illmotivated to apply such skepticism to metaphysical modality but not to more restricted objective modalities, including nomic modality. Section 3 suggests that the role of counterfactual conditionals in applications of scientific theories involves an objective (...)
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  22. Are the laws of nature metaphysically necessary? / São as leis da natureza metafisicamente necessárias?Rodrigo Cid - 2016 - Dissertation, Universidade Federal Do Rio de Janeiro
    The main intent of this thesis is to defend that the laws of nature are better thought as transcendent universals, such as platonic governism suggests, and that they are metaphysically necessary in a strong way, such as the heterodox version of such platonism defends. With this intention, we sustain that physical symmetries are essential consequences of the laws of nature – what solves the challenge of symmetries – thus being metaphysically necessary, without being governist's necessitation laws. First, we will show (...)
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  23. Necessity and Language.Morris Lazerowitz & Alice Ambrose - 2016 - Routledge.
    The problem of necessity remains one of the central issues in modern philosophy. The authors of this volume, originally published in 1985, developed a new approach to the problem, which focusses on the logical grammar of necessary propositions. This volume gathers their seminal essays on the problem of necessity, together with new material at the original time publication.
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  24. The Varieties of Modality.Jessica Leech - 2016 - Pacific Philosophical Quarterly 97 (2):n/a-n/a.
    In ‘The Varieties of Necessity’ Fine presents purported counterexamples to the view that a proposition is a naturally necessary truth if and only if it is logically necessary relative to or conditional upon the basic truths about the status and distribution of natural kinds, properties and relations. The aim of this article is to defend the view that natural necessity is relative necessity, and the general idea that we can define other kinds of necessity as relative, against Fine's criticisms.
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  25. Dispositional Modality Vis‐À‐Vis Conditional Necessity.Anna Marmodoro - 2016 - Philosophical Investigations 39 (2):205-214.
    There is an ongoing debate in the metaphysics of dispositions regarding which type of modality governs their manifestation. This paper assumes as its default position the view that dispositions manifest by conditional necessity; that is, when in appropriate circumstances dispositions manifest necessarily. From this standpoint, the paper engages critically with an existing alternative in the literature, put forward most prominently by Mumford and Anjum, and known as dispositional modality. According to this latter view, even when in appropriate manifestation conditions, dispositions (...)
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  26. Dispositional Modality Vis‐À‐Vis Conditional Necessity.Anna Marmodoro - 2016 - Philosophical Investigations 39 (3):205-214.
    There is an ongoing debate in the metaphysics of dispositions regarding which type of modality governs their manifestation. This paper assumes as its default position the view that dispositions manifest by conditional necessity; that is, when in appropriate circumstances dispositions manifest necessarily. From this standpoint, the paper engages critically with an existing alternative in the literature, put forward most prominently by Mumford and Anjum, and known as dispositional modality. According to this latter view, even when in appropriate manifestation conditions, dispositions (...)
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  27. Mahdollisuus.Ilkka Niiniluoto, Tuomas Tahko & Teemu Toppinen (eds.) - 2016 - Helsinki: Philosophical Society of Finland.
    Proceedings of the 2016 "one word" colloquium of the The Philosophical Society of Finland. The word was "Possibility".
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  28. Chance and Necessity.Daniel Nolan - 2016 - Philosophical Perspectives 30 (1):294-308.
    A principle endorsed by many theories of objective chance, and practically forced on us by the standard interpretation of the Kolmogorov semantics for chance, is the principle that when a proposition P has a chance, any proposition Q that is necessarily equivalent to P will have the same chance as P. Call this principle SUB (for the substitution of necessary equivalents into chance ascriptions). I will present some problems for a theory of chance, and will argue that the best way (...)
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  29. Reply to Sider.Timothy Williamson - 2016 - Canadian Journal of Philosophy 46 (4-5):699-708.
  30. 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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  31. A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.
    I propose a comprehensive account of negation as a modal operator, vindicating a moderate logical pluralism. Negation is taken as a quantifier on worlds, restricted by an accessibility relation encoding the basic concept of compatibility. This latter captures the core meaning of the operator. While some candidate negations are then ruled out as violating plausible constraints on compatibility, different specifications of the notion of world support different logical conducts for negations. The approach unifies in a philosophically motivated picture the following (...)
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  32. Freedom and the Self: Essays on the Philosophy of David Foster Wallace.Steven M. Cahn & Maureen Eckert (eds.) - 2015 - Columbia University Press.
    The book_ Fate, Time, and Language: An Essay on Free Will_, published in 2010 by Columbia University Press, presented David Foster Wallace's challenge to Richard Taylor's argument for fatalism. In this anthology, notable philosophers engage directly with that work and assess Wallace's reply to Taylor as well as other aspects of Wallace's thought. With an introduction by Steven M. Cahn and Maureen Eckert, this collection includes essays by William Hasker, Gila Sher, Marcello Oreste Fiocco, Daniel R. Kelly, Nathan Ballantyne, Justin (...)
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  33. Freedom and Control - On the Modality of Free Will.Stephen Mumford & Rani Lill Anjum - 2015 - American Philosophical Quarterly 52 (1):1-12.
    Free will is a problem of modality, hampered by a commitment to modal dualism: the view that there is only necessity and pure contingency. If we have necessity, then things couldn't have been otherwise, against the Principle of Alternate Possibilities (AP). If there is complete contingency, then the agent seems to have no control over her actions, against the principle of Ultimate Authorship (UA). There is a third modality in natural causal processes, however. AP and UA can be reconciled if (...)
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  34. Trigger Happy. Ein Kommentar zu Barbara Vetters Potentiality.Markus Schrenk - 2015 - Zeitschrift für Philosophische Forschung 69 (3):396-402.
    This is a book review of Barbara Vetter's Potentiality. -/- Philosophy is most intriguing when it teaches us seeing differently. Barbara Vetter’s book Po- tentiality & Possibility (OUP 2014) offers us precisely that: a new orthodoxy when it comes to our view of dispositions, possibility, and, most of all, potentiality. And it does so commendably well with the clarity of expression and the precision we often miss in the literature on causal powers and the like. -/- Vetter writes on page (...)
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  35. Powers as Causal Truthmakers.Rani Lill Anjum & Stephen Mumford - 2014 - Disputatio. Philosophical Research Bulletin 3 (4):5--31.
    [EN]Most theories of causation assume that it must involve some kind of necessity, or that the cause must be entirely sufficient for the effect. Others have already suggested that it should be possible to get a theory of causation from a theory of powers or dispositions. Such a project is far from complete but even here we find that the key point in a dispositional theory of causation has been lacking. This paper attempts to establish some of the most important (...)
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  36. No-Futurism and Metaphysical Contingentism.Baptiste Le Bihan - 2014 - Axiomathes 24 (4):483-497.
    According to no-futurism, past and present entities are real, but future ones are not. This view faces a skeptical challenge (Bourne 2002, 2006, Braddon-Mitchell, 2004): if no-futurism is true, how do you know you are present? I shall propose a new skeptical argument based on the physical possibility of Gödelian worlds (1949). This argument shows that a no-futurist has to endorse a metaphysical contingentist reading of no-futurism, the view that no-futurism is contingently true. But then, the no-futurist has to face (...)
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  37. Around the Tree: Semantic and Metaphysical Issues Concerning Branching and the Open Future.Fabrice Correia & Andrea Iacona (eds.) - 2013 - Springer.
    Over the past few years, the tree model of time has been widely employed to deal with issues concerning the semantics of tensed discourse. The thought that has motivated its adoption is that the most plausible way to make sense of indeterminism is to conceive of future possibilities as branches that depart from a common trunk, constituted by the past and the present. However, the thought still needs to be further articulated and defended, and several important questions remain open, such (...)
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  38. Possibility and Actuality.Nicolai Hartmann - 2013 - Walter de Gruyter.
    From a different perspective, “essential actuality” is related to logical actuality. It means plain existence in the ideal sphere of being. One is familiar with this, for example, in “mathematical existence.” This does not merge with validity, but implies ...
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  39. A World of Contingencies.Robert E. Ulanowicz - 2013 - Zygon 48 (1):77-92.
    Physicalism holds that the laws of physics are inviolable and ubiquitous and thereby account for all of reality. Laws leave no “wiggle room” or “gaps” for action by numinous agents. They cannot be invoked, however, without boundary stipulations that perforce are contingent and which “drive” the laws. Driving contingencies are not limited to instances of “blind chance,” but rather span a continuum of amalgamations with regularities, up to and including nearly determinate propensities. Most examples manifest directionality, and their very definition (...)
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  40. Manifesting Belief in Absolute Necessity.John Divers & Daniel Y. Elstein - 2012 - Philosophical Studies 158 (1):109-130.
    McFetridge (in Logical necessity and other essays . London: Blackwell, 1990 ) suggests that to treat a proposition as logically necessary—to believe a proposition logically necessary, and to manifest that belief—is a matter of preparedness to deploy that proposition as a premise in reasoning from any supposition. We consider whether a suggestion in that spirit can be generalized to cover all cases of absolute necessity, both logical and non-logical, and we conclude that it can. In Sect. 2, we explain the (...)
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  41. What is Absolute Necessity?Bob Hale - 2012 - Philosophia Scientiae 16 (2):117-148.
    On pourrait définir la nécessité absolue comme la vérité dans absolument tous les mondes possibles sans restriction. Mais nous devrions être capables de l’expliquer sans invoquer les mondes possibles. J’envisage trois definitions alternatives de : « Il est absolument nécessaire que p » et défends une définition contrefactuelle généralisée : ∀q.Je montre que la nécessité absolue satisfait le principe S5 et soutiens que la nécessité logique est absolue. Je discute ensuite des relations entre la nécessité logique et la nécessité métaphysique, (...)
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  42. What is Absolute Necessity?Bob Hale - 2012 - Philosophia Scientae 16:117-148.
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  43. TxW Epistemic Modality.Andrea Iacona - 2012 - Logic and Philosophy of Science 10:3-14.
    So far, T×W frames have been employed to provide a semantics for a language of tense logic that includes a modal operator that expresses historical necessity. The operator is defined in terms of quantification over possible courses of events that satisfy a certain constraint, namely, that of being alike up to a given point. However, a modal operator can as well be defined without placing that constraint. This paper outlines a T×W logic where an operator of the latter kind is (...)
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  44. Energeia and Dunamis.Stephen Makin - 2012 - In Christopher Shields (ed.), The Oxford Handbook of Aristotle. Oup Usa. pp. 400.
    Modalities enter into practically every area of contemporary philosophy. Great progress has been made in understanding the variety of differences between what is possible, what is actual, and what is necessary. But things were not always so clear. We owe a great debt in this area, as in so many others, to Aristotle, who had a lot to say on the topic, part of which comprises his discussion and use of the actuality/potentiality distinction. One important task in understanding his discussion (...)
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  45. Branching in the Landscape of Possibilities.Thomas Müller - 2012 - Synthese 188 (1):41-65.
    The metaphor of a branching tree of future possibilities has a number of important philosophical and logical uses. In this paper we trace this metaphor through some of its uses and argue that the metaphor works the same way in physics as in philosophy. We then give an overview of formal systems for branching possibilities, viz., branching time and (briefly) branching space-times. In a next step we describe a number of different notions of possibility, thereby sketching a landscape of possibilities. (...)
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  46. Alexy on Necessity in Law and Morals.Dennis Patterson - 2012 - Ratio Juris 25 (1):47-58.
    Robert Alexy has built his original theory of law upon pervasive claims for “necessary” features of law. In this article, I show that Alexy's claims suffer from two difficulties. First, Alexy is never clear about what he means by “necessity.” Second, Alexy writes as if there have been no challenges to claims of conceptual necessity. There have been such challenges and Alexy needs to answer them if his project is to succeed.
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  47. Modal Scepticism, Unqualified Modality, and Modal Kinds.Andrea Sauchelli - 2012 - Philosophia 40 (2):403-409.
    I formulate and defend two sceptical theses on specific parts of our modal knowledge (unqualified and absolute modalities). My main point is that unqualified modal sentences are defective in that they fail to belong unambiguously to specific modal kinds and thus cannot be evaluated; hence, we must be sceptical of beliefs involving them.
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  48. Causal Necessity in Aristotle.Nathanael Stein - 2012 - British Journal for the History of Philosophy 20 (5):855-879.
    Like many realists about causation and causal powers, Aristotle uses the language of necessity when discussing causation, and he appears to think that by invoking necessity, he is clarifying the manner in which causes bring about or determine their effects. In so doing, he would appear to run afoul of Humean criticisms of the notion of a necessary connection between cause and effect. The claim that causes necessitate their effects may be understood—or attacked—in several ways, however, and so whether the (...)
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  49. Geometric Possibility.Gordon Belot - 2011 - Oxford University Press UK.
    Gordon Belot investigates the distinctive notion of geometric possibility that relationalists rely upon. He examines the prospects for adapting to the geometric case the standard philosophical accounts of the related notion of physical possibility, with particular emphasis on Humean, primitivist, and necessitarian accounts of physical and geometric possibility. This contribution to the debate concerning the nature of space will be of interest not only to philosophers and metaphysicians concerned with space and time, but also to those interested in laws of (...)
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  50. Lange and Laws, Kinds, and Counterfactuals.Alexander Bird - 2011 - In Joseph Keim Campbell, Michael O'Rourke & Matthew H. Slater (eds.), Carving Nature at its Joints. MIT Press.
    In this paper I examine and question Marc Lange’s account of laws, and his claim that the law delineating the range of natural kinds of fundamental particle has a lesser grade of necessity that the laws connecting the fundamental properties of those kinds with their derived properties.
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