Results for 'Dispositions'

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  1. Dispositional essentialism and the grounding of natural modality.Siegfried Jaag - 2014 - Philosophers' Imprint 14.
    Dispositional essentialism is a non-Humean view about the essences of certain fundamental or natural properties that looms large in recent metaphysics , not least because it promises to explain neatly the natural modalities such as laws of nature, counterfactuals, causation and chance. In the current paper, however, several considerations are presented that indicate a serious tension between its essentialist core thesis and natural “metaphysical” interpretations of its central explanatory claims.
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  2. Dispositions: a debate.D. M. Armstrong - 1996 - New York: Routledge. Edited by C. B. Martin, U. T. Place & Tim Crane.
    Dispositions are essential to our understanding of the world. IDispositions: A Debate is an extended dialogue between three distinguished philosophers - D.M. Armstrong, C.B. Martin and U.T. Place - on the many problems associated with dispositions, which reveals their own distinctive accounts of the nature of dispositions. These are then linked to other issues such as the nature of mind, matter, universals, existence, laws of nature and causation.
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  3.  14
    Artificial Dispositions: Investigating Ethical and Metaphysical Issues.William A. Bauer & Anna Marmodoro (eds.) - 2023 - Bloomsbury.
    We inhabit a world not only full of natural dispositions independent of human design, but also artificial dispositions created by our technological prowess. How do these dispositions, found in automation, computation, and artificial intelligence applications, differ metaphysically from their natural counterparts? This collection investigates artificial dispositions: what they are, the roles they play in artificial systems, and how they impact our understanding of the nature of reality, the structure of minds, and the ethics of emerging technologies. (...)
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  4. Dispositions.Stephen Mumford - 1998 - Oxford, GB: Clarendon Press.
    Stephen Mumford puts forward a new theory of dispositions, showing how central their role is in metaphysics and philosophy of science. Much of our understanding of the physical and psychological world is expressed in terms of dispositional properties--from the solubility of sugar to the belief that zebras have stripes. Mumford discusses what it means to say that something has a property of this kind, and how dispositions can possibly be real things in the world. His clear, straightforward, realist (...)
  5. Dispositions and Powers.Toby Friend & Samuel Kimpton-Nye - 2023 - Cambridge: Cambridge University Press. Edited by Tuomas E. Tahko.
    As we understand them, dispositions are relatively uncontroversial 'predicatory' properties had by objects disposed in certain ways. By contrast, powers are hypothetical 'ontic' properties posited in order to explain dispositional behaviour. Chapter 1 outlines this distinction in more detail. Chapter 2 offers a summary of the issues surrounding analysis of dispositions and various strategies in contemporary literature to address them, including one of our own. Chapter 3 describes some of the important questions facing the metaphysics of powers including (...)
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    Dispositions: A Debate.D. Armstrong, C. B. Martin & U. T. Place (eds.) - 1996 - New York: Routledge.
    'Why did the window break when it was hit by the stone? Because the window is brittle and the stone is hard; hardness and brittleness are powers, dispositional properties or dispositions.' Dispositions are essential to our understanding of the world. This book is a record of the debate on the nature of dispositions between three distinguished philosophers - D. M. Armstrong, C. B. Martin and U. T. Place - who have been thinking about dispositions all their (...)
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  7.  17
    Dispositional Pluralism.Jennifer McKitrick - 2018 - Oxford, United Kingdom: Oxford University Press.
    Jennifer McKitrick offers an opinionated guide to the philosophy of dispositions. In her view, when an object has a disposition, it is such that, if a certain type of circumstance were to occur, a certain kind of event would occur. Since this is very common for this to be the case, dispositions are an abundant and diverse feature of our world.
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    Dispositions: A Debate.Tim Crane, D. M. Armstrong & C. B. Martin - 1996 - New York: Routledge. Edited by C. B. Martin, U. T. Place & Tim Crane.
    Dispositions are essential to our understanding of the world. Dispositions: A Debate is an extended dialogue between three distinguished philosophers - D.M. Armstrong, C.B. Martin and U.T. Place - on the many problems associated with dispositions, which reveals their own distinctive accounts of the nature of dispositions. These are then linked to other issues such as the nature of mind, matter, universals, existence, laws of nature and causation.
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  9.  87
    Dispositions, relational properties and the quantum world.Mauro Dorato - 2017 - In Maximilien Kistler (ed.), Dispositions and Causal Powers, Routledge, 2017,. London: Routledge. pp. pp.249-270..
    In this paper I examine the role of dispositional properties in the most frequently discussed interpretations of non-relativistic quantum mechanics. After offering some motivation for this project, I briefly characterize the distinction between non-dispositional and dispositional properties in the context of quantum mechanics by suggesting a necessary condition for dispositionality – namely contextuality – and, consequently, a sufficient condition for non-dispositionality, namely non-contextuality. Having made sure that the distinction is conceptually sound, I then analyze the plausibility of the widespread, monistic (...)
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  10. Dispositions.Shungho Choi & Michael Fara - 2012 - The Standford Encyclopedia of Philosophy.
    This is a perfect overview article that serves as a general introduction to the topic of dispositions. It is composed of six sections that review the main philosophical approaches to the most important questions: Analysis of disposition ascription, the dispositional/categorical distinction, dispositions and categorical bases, the intrinsicness of dispositions and the causal efficacy of dispositions.
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  11. A Dispositional Approach to the Attitudes.Eric Schwitzgebel - 2013 - In N. Nottelmann (ed.), New Essays on Belief. Palgrave. pp. 75-99.
    I argue that to have an attitude is, primarily, (1.) to have a dispositional profile that matches, to an appropriate degree and in appropriate respects, a stereotype for that attitude, typically grounded in folk psychology, and secondarily, (2.) in some cases also to meet further stereotypical attitude-specific conditions. To have an attitude, on the account I will recommend here, is mainly a matter of being apt to interact with the world in patterns that ordinary people would regard as characteristic of (...)
     
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  12.  3
    Dispositions.R. Tuomela (ed.) - 1978 - Springer Verlag.
    This anthology consists of a collection of papers on the nature of dis positions and the role of disposition concepts in scientific theories. I have tried to make the collection as representative as possible, except that problems specifically connected with dispositions in various special sciences are relatively little discussed. Most of these articles have been previously published. The papers by Mackie, Essler and Trapp, Fetzer (in Section 11), Levi, and Tuomela appear here for the first time, and are simultaneously (...)
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  13.  37
    Do Dispositions and Propensities have a role in the Ontology of Quantum Mechanics? Some Critical Remarks.Mauro Dorato - unknown - Synthese Library.
    In order to tackle the question posed by the title – notoriously answered in the positive, among others, by Heisenberg, Margenau, Popper and Redhead – I first discuss some attempts at distinguishing dispositional from non-dispositional properties, and then relate the distinction to the formalism of quantum mechanics. Since any answer to the question titling the paper must be interpretation-dependent, I review some of the main interpretations of quantum mechanics in order to argue that the ontology of theories regarding “wave collapse” (...)
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  14. Dispositions and causes.Toby Handfield (ed.) - 2009 - New York : Oxford University Press,: Clarendon Press ;.
    In recent decades, the analysis of causal relations has become a topic of central importance in analytic philosophy. More recently, dispositional properties have also become objects of intense study. Both of these phenomena appear to be intimately related to counterfactual conditionals and other modal phenomena such as objective chance, but little work has been done to directly relate them. This collection contains ten essays by scholars working in both metaphysics and in philosophy of science, examining the relation between dispositional and (...)
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  15. A disposition-based process theory of causation.Andreas Hüttemann - 2013 - In Stephen Mumford & Matthew Tugby (eds.), Metaphysics and Science. Oxford University Press. pp. 101.
    Given certain well-known observations by Mach and Russell, the question arises what place there is for causation in the physical world. My aim in this chapter is to understand under what conditions we can use causal terminology and how it fi ts in with what physics has to say. I will argue for a disposition-based process-theory of causation. After addressing Mach’s and Russell’s concerns I will start by outlining the kind of problem the disposition based process-theory of causation is meant (...)
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  16.  82
    Dispositions, Virtues, and Indian Ethics.Andrea Raimondi & Ruchika Jain - forthcoming - Journal of Religious Ethics.
    Dhand argues that Indian ethics is “reminiscent of the genre of virtue ethics developed in the West”, and that “one could argue that all Indian ethics have been primarily virtue ethics” (2002:358). Many have indeed jumped on the virtue bandwagon, providing prima facie interpretations of the Hindu, the Jain, and the Buddhist canon in virtue terms. Yet others have expressed firm skepticism. They claim that virtues are not proven to be grounded in the nature of things, nor they are unified (...)
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  17. Determinable dispositions.Nicky Kroll - 2023 - In Christopher J. Austin, Anna Marmodoro & Andrea Roselli (eds.), Powers, Parts and Wholes. Routledge.
    This chapter argues for determinable dispositions. Determinable dispositions are characterized by a certain type of non-specificity. Put roughly, a determinable disposition to M is a disposition to M in some but no particular way. So, if a vase is disposed to break and that disposition is a determinable disposition, then the vase is disposed to break in some but no particular way. The chapter argues that determinable dispositions undermine standard approaches to multi-track dispositions and provide support (...)
     
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  18. Dispositional Abilities.Ann Whittle - 2010 - Philosophers' Imprint 10.
    Dispositional compatibilists argue that a proper understanding of our abilities vindicates both compatibilism and the principle of Alternate Possibilities (the claim that the ability to do otherwise is required for freedom and moral responsibility). In this paper, I argue that this is mistaken. Both analyses of dispositions and abilities should distinguish between local and global dispositions or abilities. Once this distinction is in place, we see that neither thesis is established by an analysis of abilities.
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  19. Dispositional Modality.Stephen Mumford & Rani Lill Anjum - 2011 - In C. F. Gethmann (ed.), Lebenswelt und Wissenschaft, Deutsches Jahrbuch Philosophie 2. Meiner Verlag.
    There has been much discussion of powers or real dispositions in the past decade, but there remains an issue that has been inadequately treated. This concerns the precise modal value that comes with dispositionality. We contend in this paper that dispositionality involves a non-alethic, sui generis, irreducible modality. Dispositions only tend towards their manifestations; they do not necessitate them. Tendency is, of course, a dispositional term itself, so this last statement offers little by way of illumination. But given (...)
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  20. Disposition Impossible.C. S. Jenkins & Daniel Nolan - 2012 - Noûs 46 (4):732-753.
    Are there dispositions which not only do not manifest, but which could not manifest? We argue that there are dispositions to Ф in circumstances C where C is impossible, and some where Ф is impossible. Furthermore, postulating these dispositions does useful theoretical work. This paper describes a number of cases of dispositions had by objects even though those dispositions are not possibly manifest, and argues for the importance of these dispositions.
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  21. Dispositions and the Infectious Disease Ontology.Albert Goldfain, Barry Smith & Lindsay Cowell - 2010 - In Formal Ontology in Information Systems: Proceedings of the Sixth International Conference (FOIS). IOS Press. pp. 400-413.
    This paper addresses the use of dispositions in the Infectious Disease Ontology (IDO). IDO is an ontology constructed according to the principles of the Open Biomedical Ontology (OBO) Foundry and uses the Basic Formal Ontology (BFO) as an upper ontology. After providing a brief introduction to disposition types in BFO and IDO, we discuss three general techniques for representing combinations of dispositions under the headings blocking dispositions, complementary dispositions, and collective dispositions. Motivating examples for each (...)
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  22. Dispositional Evaluations and Defeat.Maria Lasonen-Aarnio - 2021 - In Mona Jessica & Simion Brown (eds.), Reasons, Justification, and Defeat. Oxford, UK: Oxford University Press. pp. 91–115.
    Subjects who retain their beliefs in the face of higher-order evidence that those very beliefs are outputs of flawed cognitive processes are at least very often criticisable. Many think that this is because such higher-order evidence defeats various epistemic statuses such as justification and knowledge, but it is notoriously difficult to give an account of such defeat. This paper outlines an alternative explanation, stemming from some of my earlier work, for why subjects are criticisable for retaining beliefs in the face (...)
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  23. Disposition Ascriptions.Simona Aimar - 2019 - Philosophical Studies 176 (7):1667-1692.
    I argue that disposition ascriptions—claims like ‘the glass is fragile’—are semantically equivalent to possibility claims: they are true when the given object manifests the disposition in at least one of the relevant possible worlds.
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  24. Dispositional Properties in Evo-Devo.Christopher J. Austin & Laura Nuño de la Rosa - 2018 - In Laura Nuño de la Rosa & G. Müller (eds.), Evolutionary Developmental Biology. Cham, Switzerland: Springer.
    In identifying intrinsic molecular chance and extrinsic adaptive pressures as the only causally relevant factors in the process of evolution, the theoretical perspective of the Modern Synthesis had a major impact on the perceived tenability of an ontology of dispositional properties. However, since the late 1970s, an increasing number of evolutionary biologists have challenged the descriptive and explanatory adequacy of this “chance alone, extrinsic only” understanding of evolutionary change. Because morphological studies of homology, convergence, and teratology have revealed a space (...)
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  25. Finkish dispositions.David Kellogg Lewis - 1997 - Philosophical Quarterly 47 (187):143-158.
    Many years ago, C.B. Martin drew our attention to the possibility of ‘finkish’ dispositions: dispositions which, if put to the test would not be manifested, but rather would disappear. Thus if x if finkishly disposed to give response r to stimulus s, it is not so that if x were subjected to stimulus r, x would give response z; so finkish dispositions afford a counter‐example to the simplest conditional analysis of dispositions. Martin went on to suggest (...)
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  26. Dispositions, Character, and the Value of Acts.Bradford Cokelet - 2015 - In Christian Miller, R. Michael Furr, Angela Knobel & William Fleeson (eds.), Character: New Perspectives in Psychology, Philosophy, and Theology. Oxford University Press. pp. 233-250.
    This paper concerns the central virtue ethical thesis that the ethical quality of an agent's actions is a function of her dispositional character. Skeptics have rightly urged us to distinguish between an agent's particular intentions or occurrant motives and dispositional facts about her character, but they falsely contend that if we are attentive to this distinction, then we will see that the virtue ethical thesis is false. In this paper I present a new interpretation and defense of the virtue ethical (...)
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  27. Minkish dispositions.Alan Hájek - 2020 - Synthese 197 (11):4795-4811.
    Start with an ordinary disposition ascription, like ‘the wire is live’ or ‘the glass is fragile’. Lewis gives a canonical template for what he regards as the analysandum of such an ascription:“Something x is disposed at time t to give response r to stimulus s”.For example, the wire is disposed at noon to conduct electrical current when touched by a conductor.What Lewis calls “the simple conditional analysis” gives putatively necessary and sufficient conditions for the analysandum in terms of a counterfactual:“if (...)
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    Dispositions.Stephen Mumford - 1994 - Cogito 8 (2):141-146.
    Mumford puts forward a new theory of dispositions, showing how central their role in metaphysics and philosophy of science is. Much of our understanding of the physical and psychological world is expressed in terms of dispositional properties--from the spin of a sub-atomic particle to the solubility of sugar. Mumford discusses what it means to say that something has a property of this kind and how dispositions can possibly be real things in the world.
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  29. Debating Dispositions: Issues in Metaphysics, Epistemology and Philosophy of Mind.Gregor Damschen, Robert Schnepf & Karsten Stüber (eds.) - 2009 - Berlin/New York: de Gruyter.
    Ordinary language and scientific discourse are filled with linguistic expressions for dispositional properties such as “soluble,” “elastic,” “reliable,” and “humorous.” We characterize objects in all domains – physical objects as well as human persons – with the help of dispositional expressions. Hence, the concept of a disposition has historically and systematically played a central role in different areas of philosophy ranging from metaphysics to ethics. The contributions of this volume analyze the ancient foundations of the discussion about disposition, examine the (...)
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  30. Is Dispositional Causation Just Mutual Manifestation?Christopher J. Austin - 2015 - Ratio 29 (3):235-248.
    Dispositional properties are often referred to as ‘causal powers’, but what does dispositional causation amount to? Any viable theory must account for two fundamental aspects of the metaphysics of causation – the causal complexity and context sensitivity of causal interactions. The theory of mutual manifestations attempts to do so by locating the complexity and context sensitivity within the nature of dispositions themselves. But is this theory an acceptable first step towards a viable theory of dispositional causation? This paper argues (...)
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  31. Teleological Dispositions.Nick Kroll - 2017 - Oxford Studies in Metaphysics 10.
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  32. Counterfactuals, Dispositions, and the Causal Modalities.Wilfrid Sellars - 1952 - University of Minnesota.
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  33. Dispositions and Rational Explanation.Jason Bridges - 2011 - In Jason Bridges Niko Kolodny & Wai-Hung Wong (eds.), The Possibility of Philosophical Understanding: Reflections on the Thought of Barry Stroud. Oxford University Press.
    Some philosophers hold that rational explanations­—explanations of people’s attitudes and actions that cite their reasons for forming these attitudes or performing these actions—are dispositional. The hold that rational explanations do their explanatory work by representing these attitudes and actions as the product of dispositions on the part of the subject. I challenge arguments to this effect by Barry Stroud and Michael Smith. And I argue that human beings do not possess, and could not possess, the dispositions required for (...)
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  34. Dispositional and categorical properties, and Russellian Monism.Eric Hiddleston - 2019 - Philosophical Studies 176 (1):65-92.
    This paper has two main aims. The first is to present a general approach for understanding “dispositional” and “categorical” properties; the second aim is to use this approach to criticize Russellian Monism. On the approach I suggest, what are usually thought of as “dispositional” and “categorical” properties are really just the extreme ends of a spectrum of options. The approach allows for a number of options between these extremes, and it is plausible, I suggest, that just about everything of scientific (...)
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  35. Counterfactuals, Dispositions, and the Causal Modalities.Wilfrid Sellars - 1957 - In Herbert Feigl Michael Scriven & Grover Maxwell (eds.), Minnesota Studies in The Philosophy of Science, Vol. II. University of Minnesota Press.
    [p.225] Introduction (i) Although the following essay attempts to deal in a connected way with a number of connected conceptual tangles, it is by no means monolithic in design. It divides roughly in two, with the first half (Parts I and II) devoted to certain puzzles which have their source in a misunderstanding of the more specific structure of the language in which we describe and explain natural phenomena; while the second half (Parts III and IV) attempts to resolve the (...)
     
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  36. Dispositions, Abilities to Act, and Free Will: The New Dispositionalism.Randolph Clarke - 2009 - Mind 118 (470):323-351.
    This paper examines recent attempts to revive a classic compatibilist position on free will, according to which having an ability to perform a certain action is having a certain disposition. Since having unmanifested dispositions is compatible with determinism, having unexercised abilities to act, it is held, is likewise compatible. Here it is argued that although there is a kind of capacity to act possession of which is a matter of having a disposition, the new dispositionalism leaves unresolved the main (...)
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  37. Three theses about dispositions.Elizabeth W. Prior, Robert Pargetter & Frank Jackson - 1982 - American Philosophical Quarterly 19 (3):251-257.
    I. Causal Thesis: Dispositions have a causal basis. II. Distinctness Thesis: Dispositions are distinct from their causal basis. III. Impotence Thesis: Dispositions are not causally active.
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  38. Dispositions and subjunctives.Jesse R. Steinberg - 2010 - Philosophical Studies 148 (3):323 - 341.
    It is generally agreed that dispositions cannot be analyzed in terms of simple subjunctive conditionals (because of what are called “masked dispositions” and “finkish dispositions”). I here defend a qualified subjunctive account of dispositions according to which an object is disposed to Φ when conditions C obtain if and only if, if conditions C were to obtain, then the object would Φ ceteris paribus . I argue that this account does not fall prey to the objections (...)
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  39. Dispositions and antidotes.Alexander Bird - 1998 - Philosophical Quarterly 48 (191):227-234.
    In ‘Finkish Dispositions’1 David Lewis proposes an analysis of dispositions which improves on the simple conditional analysis. In this paper I show that Lewis’ analysis still fails. I also argue that repairs are of no avail, and suggest why this is so.
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  40.  61
    Dispositions without Teleology.David Manley & Ryan Wasserman - 2017 - Oxford Studies in Metaphysics 10.
    We argue against accounting for dispositions (and of the progressive aspect) in terms of a fundamentally teleological metaphysics, and we defend our previous conditional account from some novel objections. -/- In “Teleological Dispositions,” Nick Kroll offers a novel theory of dispositions in terms of primitive directed states. Kroll is clear that his notion of directedness “outstrips talk of goals, purposes, design, and function”, and that it commits him to “primitive teleological facts”. This notion may strike some as (...)
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  41. Disposition‐manifestations and Reference‐frames.Alastair Wilson - 2009 - Dialectica 63 (4):591-601.
    Dispositions can combine as vector sums. Recent authors on dispositions, such as George Molnar and Stephen Mumford, have responded to this feature of dispositions by introducing a distinction between effects and contributions to effects, and by identifying disposition-manifestations with the latter. But some have been sceptical of the reality or knowability of component vectors; Jennifer McKitrick (forthcoming) presses these concerns against the conception of manifestations as contributions to effects. In this paper, I aim to respond to McKitrick's (...)
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  42.  35
    Dispositional Explanations of Behavior.Rob Vanderbeeken & Erik Weber - 2002 - Behavior and Philosophy 30:43 - 59.
    If dispositions are conceived as properties of systems that refer to possible causal relations, dispositions can be used in singular causal explanations. By means of these dispositional explanations, we can explain behavior B of a system x by (i) referring to a situation of type S that triggered B, given that x has a disposition D to do B in S, or (ii) by referring to a disposition D of x to do B in S, given that x (...)
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  43. Dispositional Essentialism and the Nature of Powerful Properties.William A. Bauer - 2013 - Disputatio 5 (35):1-19.
    Dispositional essentialism maintains that all sparse properties are essentially powerful. Two conceptions of sparse properties appear compatible with dispositional essentialism: sparse properties as pure powers or as powerful qualities. This paper compares the two views, criticizes the powerful qualities view, and then develops a new theory of pure powers, termed Point Theory. This theory neutralizes the main advantage powerful qualities appear to possess over pure powers—explaining the existence of powers during latency periods. The paper discusses the relation between powers and (...)
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  44. Why Dispositions are (Still) Distinct from their Bases and Causally Impotent.Bradley Rives - 2005 - American Philosophical Quarterly 42 (1):19 - 31.
    It has now been over twenty years since Elizabeth Prior, Robert Pargetter, and Frank Jackson (1982) published their classic paper on dispositions, in which they defend the following theses: (1) The Distinctness Thesis: Each disposition is distinct from its base. (2) The Impotence Thesis: Dispositions are causally impotent.1..
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  45. Unfinkable dispositions.Toby Handfield - 2008 - Synthese 160 (2):297 - 308.
    This paper develops two ideas with respect to dispositional properties: (1) Adapting a suggestion of Sungho Choi, it appears the conceptual distinction between dispositional and categorical properties can be drawn in terms of susceptibility to finks and antidotes. Dispositional, but not categorical properties, are not susceptible to intrinsic finks, nor are they remediable by intrinsic antidotes. (2) If correct, this suggests the possibility that some dispositions—those which lack any causal basis—may be insusceptible to any fink or antidote. Since finks (...)
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  46. Dispositions and conditionals.C. B. Martin - 1994 - Philosophical Quarterly 44 (174):1-8.
  47. Dispositions, rules, and finks.Toby Handfield & Alexander Bird - 2007 - Philosophical Studies 140 (2):285 - 298.
    This paper discusses the prospects of a dispositional solution to the Kripke–Wittgenstein rule-following puzzle. Recent attempts to employ dispositional approaches to this puzzle have appealed to the ideas of finks and antidotes—interfering dispositions and conditions—to explain why the rule-following disposition is not always manifested. We argue that this approach fails: agents cannot be supposed to have straightforward dispositions to follow a rule which are in some fashion masked by other, contrary dispositions of the agent, because in all (...)
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  48. Dispositions.Michael Fara - 2008 - Stanford Encyclopedia of Philosophy.
    The glass vase on my desk is fragile. It should be handled with care because it it is likely to shatter or crack if it is knocked, dropped, or otherwise treated roughly. The vase has certain dispositions, for example the disposition to shatter when dropped. But what is this disposition? It seems on the one hand to be a perfectly real property, a genuine respect of similarity common to glass vases, china cups, ancient manuscripts, and anything else fragile. Yet (...)
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  49. Dispositions and modals: a short history.Alex Anthony - manuscript
  50. Propositions, Dispositions and Logical Knowledge.Corine Besson - 2010 - In M. Bonelli & A. Longo (eds.), Quid Est Veritas? Essays in Honour of Jonathan Barnes. Bibliopolis.
    This paper considers the question of what knowing a logical rule consists in. I defend the view that knowing a logical rule is having propositional knowledge. Many philosophers reject this view and argue for the alternative view that knowing a logical rule is, at least at the fundamental level, having a disposition to infer according to it. To motivate this dispositionalist view, its defenders often appeal to Carroll’s regress argument in ‘What the Tortoise Said to Achilles’. I show that this (...)
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