Results for 'Tim Shallice'

486 found
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  1. All the Difference in the World.Tim Crane - 1991 - Philosophical Quarterly 41 (162):1-25.
    The celebrated "Twin Earth" arguments of Hilary Putnam (1975) and Tyler Burge (1979) aim to establish that some intentional states logically depend on facts external to the subjects of those states. Ascriptions of states of these kinds to a thinker entail that the thinker's environment is a certain way. It is not possible that the thinker could be in those very intentional states unless the environment is that way...
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  2. Numbers and Propositions: Reply to Melia.Tim Crane - 1992 - Analysis 52 (4):253-256.
    Is the way we use propositions to individuate beliefs and other intentional states analogous to the way we use numbers to measure weights and other physical magnitudes? In an earlier paper [2], I argued that there is an important disanalogy. One and the same weight can be 'related to' different numbers under different units of measurement. Moreover, the choice of a unit of measurement is arbitrary,in the sense that which way we choose doesn't affect the weight attributed to the object. (...)
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  3. Level theory, part 1: Axiomatizing the bare idea of a cumulative hierarchy of sets.Tim Button - 2021 - Bulletin of Symbolic Logic 27 (4):436-460.
    The following bare-bones story introduces the idea of a cumulative hierarchy of pure sets: 'Sets are arranged in stages. Every set is found at some stage. At any stage S: for any sets found before S, we find a set whose members are exactly those sets. We find nothing else at S.' Surprisingly, this story already guarantees that the sets are arranged in well-ordered levels, and suffices for quasi-categoricity. I show this by presenting Level Theory, a simplification of set theories (...)
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  4. The Limits of Realism.Tim Button - 2013 - Oxford: Oxford University Press UK.
    Tim Button explores the relationship between words and world; between semantics and scepticism. -/- A certain kind of philosopher – the external realist – worries that appearances might be radically deceptive. For example, she allows that we might all be brains in vats, stimulated by an infernal machine. But anyone who entertains the possibility of radical deception must also entertain a further worry: that all of our thoughts are totally contentless. That worry is just incoherent. -/- We cannot, then, be (...)
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  5. Level Theory, Part 3: A Boolean Algebra of Sets Arranged in Well-Ordered Levels.Tim Button - 2022 - Bulletin of Symbolic Logic 28 (1):1-26.
    On a very natural conception of sets, every set has an absolute complement. The ordinary cumulative hierarchy dismisses this idea outright. But we can rectify this, whilst retaining classical logic. Indeed, we can develop a boolean algebra of sets arranged in well-ordered levels. I show this by presenting Boolean Level Theory, which fuses ordinary Level Theory (from Part 1) with ideas due to Thomas Forster, Alonzo Church, and Urs Oswald. BLT neatly implement Conway’s games and surreal numbers; and a natural (...)
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  6. Is Pain “All in your Mind”? Examining the General Public’s Views of Pain.Tim V. Salomons, Richard Harrison, Nat Hansen, James Stazicker, Astrid Grith Sorensen, Paula Thomas & Emma Borg - 2022 - Review of Philosophy and Psychology 13 (3):683-698.
    By definition, pain is a sensory and emotional experience that is felt in a particular part of the body. The precise relationship between somatic events at the site where pain is experienced, and central processing giving rise to the mental experience of pain remains the subject of debate, but there is little disagreement in scholarly circles that both aspects of pain are critical to its experience. Recent experimental work, however, suggests a public view that is at odds with this conceptualisation. (...)
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  7. Level Theory, Part 2: Axiomatizing the Bare Idea of a Potential Hierarchy.Tim Button - 2021 - Bulletin of Symbolic Logic 27 (4):461-484.
    Potentialists think that the concept of set is importantly modal. Using tensed language as an heuristic, the following bar-bones story introduces the idea of a potential hierarchy of sets: 'Always: for any sets that existed, there is a set whose members are exactly those sets; there are no other sets.' Surprisingly, this story already guarantees well-foundedness and persistence. Moreover, if we assume that time is linear, the ensuing modal set theory is almost definitionally equivalent with non-modal set theories; specifically, with (...)
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  8. A fictionalist theory of universals.Tim Button & Robert Trueman - 2024 - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press.
    Universals are putative objects like wisdom, morality, redness, etc. Although we believe in properties (which, we argue, are not a kind of object), we do not believe in universals. However, a number of ordinary, natural language constructions seem to commit us to their existence. In this paper, we provide a fictionalist theory of universals, which allows us to speak as if universals existed, whilst denying that any really do.
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  9. Against Cumulative Type Theory.Tim Button & Robert Trueman - 2022 - Review of Symbolic Logic 15 (4):907-49.
    Standard Type Theory, STT, tells us that b^n(a^m) is well-formed iff n=m+1. However, Linnebo and Rayo have advocated the use of Cumulative Type Theory, CTT, has more relaxed type-restrictions: according to CTT, b^β(a^α) is well-formed iff β > α. In this paper, we set ourselves against CTT. We begin our case by arguing against Linnebo and Rayo’s claim that CTT sheds new philosophical light on set theory. We then argue that, while CTT ’s type-restrictions are unjustifiable, the type-restrictions imposed by (...)
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  10. Artifacts and mind-dependence.Tim Juvshik - 2021 - Synthese 199 (3-4):9313-9336.
    I defend the intention-dependence of artifacts, which says that something is an artifact of kind K only if it is the successful product of an intention to make an artifact of kind K. I consider objections from two directions. First, that artifacts are often mind- and intention-dependent, but that this isn’t necessary, as shown by swamp cases. I offer various error theories for why someone would have artifact intuitions in such cases. Second, that while artifacts are necessarily mind-dependent, they aren’t (...)
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  11. Scepticism about epistemic blame.Tim Smartt - 2023 - Philosophical Studies 180 (5):1813-1828.
    I advocate scepticism about epistemic blame; the view that we have good reason to think there is no distinctively epistemic form of blame. Epistemologists often find it useful to draw a distinction between blameless and blameworthy norm violation. In recent years, this has led several writers to develop theories of ‘epistemic blame.’ I present two challenges against the very idea of epistemic blame. First, everything that is supposedly done by epistemic blame is done by epistemic evaluation, at least according to (...)
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  12. Function essentialism about artifacts.Tim Juvshik - 2021 - Philosophical Studies (9):2943-2964.
    Much recent discussion has focused on the nature of artifacts, particularly on whether artifacts have essences. While the general consensus is that artifacts are at least intention-dependent, an equally common view is function essentialism about artifacts, the view that artifacts are essentially functional objects and that membership in an artifact kind is determined by a particular, shared function. This paper argues that function essentialism about artifacts is false. First, the two component conditions of function essentialism are given a clear and (...)
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  13. (1 other version)There is No Question of Physicalism.Tim Crane & D. H. Mellor - 1990 - Mind 99 (394):185-206.
    Many philosophers are impressed by the progress achieved by physical sciences. This has had an especially deep effect on their ontological views: it has made many of them physicalists. Physicalists believe that everything is physical: more precisely, that all entities, properties, relations, and facts are those which are studied by physics or other physical sciences. They may not all agree with the spirit of Rutherford's quoted remark that 'there is physics; and there is stamp-collecting',' but they all grant physical science (...)
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  14. Perception and the Reach of Phenomenal Content.Tim Bayne - 2009 - Philosophical Quarterly 59 (236):385-404.
    The phenomenal character of perceptual experience involves the representation of colour, shape and motion. Does it also involve the representation of high-level categories? Is the recognition of a tomato as a tomato contained within perceptual phenomenality? Proponents of a conservative view of the reach of phenomenal content say ’No’, whereas those who take a liberal view of perceptual phenomenality say ’Yes’. I clarify the debate between conservatives and liberals, and argue in favour of the liberal view that high-level content can (...)
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  15. (1 other version)Is Perception a Propositional Attitude?Tim Crane - 2009 - Philosophical Quarterly 59 (236):452-469.
    It is widely agreed that perceptual experience is a form of intentionality, i.e., that it has representational content. Many philosophers take this to mean that like belief, experience has propositional content, that it can be true or false. I accept that perceptual experience has intentionality; but I dispute the claim that it has propositional content. This claim does not follow from the fact that experience is intentional, nor does it follow from the fact that experiences are accurate or inaccurate. I (...)
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  16. (1 other version)The Nonconceptual Content of Experience.Tim Crane - 1992 - In The Contents of Experience. New York: Cambridge University Press. pp. 136-57.
    Some have claimed that people with very different beliefs literally see the world differently. Thus Thomas Kuhn: ‘what a man sees depends both upon what he looks at and also upon what his previous visual—conceptual experience has taught him to see’ (Kuhn 1970, p. ll3). This view — call it ‘Perceptual Relativism’ — entails that a scientist and a child may look at a cathode ray tube and, in a sense, the first will see it while the second won’t. The (...)
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  17. Summary of "Elements of Mind" and Replies to Critics.Tim Crane - 2004 - Croatian Journal of Philosophy 4 (11):223-240.
    Elements of Mind (EM) has two themes, one major and one minor. The major theme is intentionality, the mind’s direction upon its objects; the other is the mind–body problem. I treat these themes separately: chapters 1, and 3–5 are concerned with intentionality, while chapter 2 is about the mind–body problem. In this summary I will first describe my view of the mind–body problem, and then describe the book’s main theme. Like many philosophers, I see the mind–body problem as containing two (...)
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  18. Deflationary metaphysics and ordinary language.Tim Button - 2020 - Synthese 197 (1):33-57.
    Amie Thomasson and Eli Hirsch have both attempted to deflate metaphysics, by combining Carnapian ideas with an appeal to ordinary language. My main aim in this paper is to critique such deflationary appeals to ordinary language. Focussing on Thomasson, I draw two very general conclusions. First: ordinary language is a wildly complicated phenomenon. Its implicit ontological commitments can only be tackled by invoking a context principle; but this will mean that ordinary language ontology is not a trivial enterprise. Second: ordinary (...)
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  19. (1 other version)Intentionality as the mark of the mental.Tim Crane - 1998 - In Tim Crane (ed.), Contemporary Issues in the Philosophy of Mind. Cambridge University Press. pp. 229-251.
    ‘It is of the very nature of consciousness to be intentional’ said Jean-Paul Sartre, ‘and a consciousness that ceases to be a consciousness of something would ipso facto cease to exist’.1 Sartre here endorses the central doctrine of Husserl’s phenomenology, itself inspired by a famous idea of Brentano’s: that intentionality, the mind’s ‘direction upon its objects’, is what is distinctive of mental phenomena. Brentano’s originality does not lie in pointing out the existence of intentionality, or in inventing the terminology, which (...)
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  20. Mathematical Internal Realism.Tim Button - 2022 - In Sanjit Chakraborty & James Ferguson Conant (eds.), Engaging Putnam. Berlin, Germany: De Gruyter. pp. 157-182.
    In “Models and Reality” (1980), Putnam sketched a version of his internal realism as it might arise in the philosophy of mathematics. Here, I will develop that sketch. By combining Putnam’s model-theoretic arguments with Dummett’s reflections on Gödelian incompleteness, we arrive at (what I call) the Skolem-Gödel Antinomy. In brief: our mathematical concepts are perfectly precise; however, these perfectly precise mathematical concepts are manifested and acquired via a formal theory, which is understood in terms of a computable system of proof, (...)
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  21. Relativity and the Causal Efficacy of Abstract Objects.Tim Juvshik - 2020 - American Philosophical Quarterly 57 (3):269-282.
    Abstract objects are standardly taken to be causally inert, however principled arguments for this claim are rarely given. As a result, a number of recent authors have claimed that abstract objects are causally efficacious. These authors take abstracta to be temporally located in order to enter into causal relations but lack a spatial location. In this paper, I argue that such a position is untenable by showing first that causation requires its relata to have a temporal location, but second, that (...)
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  22. The Intentional Structure of Consciousness.Tim Crane - 2002 - In Aleksandar Jokic & Quentin Smith (eds.), Consciousness: New Philosophical Perspectives. New York: Oxford University Press. pp. 33-56.
    Newcomers to the philosophy of mind are sometimes resistant to the idea that pain is a mental state. If asked to defend their view, they might say something like this: pain is a physical state, it is a state of the body. A pain in one’s leg feels to be in the leg, not ‘in the mind’. After all, sometimes people distinguish pain which is ‘all in the mind’ from a genuine pain, sometimes because the second is ‘physical’ while the (...)
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  23. Numbers without aggregation.Tim Henning - 2023 - Noûs (3):755-777.
    Suppose we can save either a larger group of persons or a distinct, smaller group from some harm. Many people think that, all else equal, we ought to save the greater number. This article defends this view (with qualifications). But unlike earlier theories, it does not rely on the idea that several people's interests or claims receive greater aggregate weight. The argument starts from the idea that due to their stakes, the affected people have claims to have a say in (...)
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  24. From Choice to Chance? Saving People, Fairness, and Lotteries.Tim Henning - 2015 - Philosophical Review 124 (2):169-206.
    Many authors in ethics, economics, and political science endorse the Lottery Requirement, that is, the following thesis: where different parties have equal moral claims to one indivisible good, it is morally obligatory to let a fair lottery decide which party is to receive the good. This article defends skepticism about the Lottery Requirement. It distinguishes three broad strategies of defending such a requirement: the surrogate satisfaction account, the procedural account, and the ideal consent account, and argues that none of these (...)
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  25. Abstract Objects, Causal Efficacy, and Causal Exclusion.Tim Juvshik - 2018 - Erkenntnis 83 (4):805-827.
    objects are standardly taken to be causally inert, but this claim is rarely explicitly argued for. In the context of his platonism about musical works, in order for musical works to be audible, Julian Dodd argues that abstracta are causally efficacious in virtue of their concrete tokens participating in events. I attempt to provide a principled argument for the causal inertness of abstracta by first rejecting Dodd’s arguments from events, and then extending and generalizing the causal exclusion argument to the (...)
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  26. Epistemic Cans.Tim Kearl & Christopher Willard-Kyle - forthcoming - Philosophy and Phenomenological Research.
    We argue that S is in a position to know that p iff S can know that p. Thus, what makes position-to-know-ascriptions true is just a special case of what makes ability-ascriptions true: compossibility. The novelty of our compossibility theory of epistemic modality lies in its subsuming epistemic modality under agentive modality, the modality characterizing what agents can do.
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  27. Critical Thinking Education and Debiasing.Tim Kenyon & Guillaume Beaulac - 2014 - Informal Logic 34 (4):341-363.
    There are empirical grounds to doubt the effectiveness of a common and intuitive approach to teaching debiasing strategies in critical thinking courses. We summarize some of the grounds before suggesting a broader taxonomy of debiasing strategies. This four-level taxonomy enables a useful diagnosis of biasing factors and situations, and illuminates more strategies for more effective bias mitigation located in the shaping of situational factors and reasoning infrastructure—sometimes called “nudges” in the literature. The question, we contend, then becomes how best to (...)
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  28. In Defense of Sensitivity.Tim Black & Peter Murphy - 2007 - Synthese 154 (1):53-71.
    The sensitivity condition on knowledge says that one knows that P only if one would not believe that P if P were false. Difficulties for this condition are now well documented. Keith DeRose has recently suggested a revised sensitivity condition that is designed to avoid some of these difficulties. We argue, however, that there are decisive objections to DeRose’s revised condition. Yet rather than simply abandoning his proposed condition, we uncover a rationale for its adoption, a rationale which suggests a (...)
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  29. Artifactualization without Physical Modification.Tim Juvshik - 2021 - Res Philosophica 98 (4):545-572.
    Much recent discussion has focused on the nature of artifacts, particularly on whether they have essences. While it is often held that artifacts are intention-dependent and necessarily have functions, it is equally commonly held, though far less discussed, that artifacts are the result of physical modification of some material objects. This paper argues that the physical modification condition on artifacts is false. First, it formulates the physical modification condition perspicuously for the first time. Second, it offers counterexamples to this condition, (...)
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  30.  45
    Modeling Term Structure of Cross-Currency Interest Rates.Tim Xiao - manuscript
    This article proposes a term structure model for dual-currency interest rate markets. The model assumes that volatility is a deterministic function of time alone. This volatility structure can reduce the dimension of the required state variables. An important special case is presented, which corresponds essentially to a Vasicek/Hull-White yield curve model in each currency. The model is very useful for pricing cross-currency derivatives.
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  31. Structure and Categoricity: Determinacy of Reference and Truth Value in the Philosophy of Mathematics.Tim Button & Sean Walsh - 2016 - Philosophia Mathematica 24 (3):283-307.
    This article surveys recent literature by Parsons, McGee, Shapiro and others on the significance of categoricity arguments in the philosophy of mathematics. After discussing whether categoricity arguments are sufficient to secure reference to mathematical structures up to isomorphism, we assess what exactly is achieved by recent ‘internal’ renditions of the famous categoricity arguments for arithmetic and set theory.
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  32. (1 other version)The Waterfall Illusion.Tim Crane - 1988 - Analysis 48 (June):142-47.
    If you stare for a period of time at a scene which contains movement in one direction, and then turn your attention to an object in a scene which contains no movement, this object will appear to move in the opposite direction to that of the original movement. The effect can be easily achieved by attaching a piece of paper with a spiral drawn on it to the spinning turntable of a record player, and then turning the turntable off while (...)
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  33. Digital Working Lives: Worker Autonomy and the Gig Economy.Tim Christiaens - 2022 - Rowman & Littlefield Publishers.
    Christiaens argues that digital technologies are fundamentally undermining workers’ autonomy by enacting systems of surveillance that lead to exploitation, alienation, and exhaustion. For a more sustainable future of work, digital technologies should support human development instead of subordinating it to algorithmic control.
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  34. The Mental Causation Debate.Tim Crane - 1995 - Aristotelian Society Supplementary Volume 69 (Supplementary):211-36.
    This paper is about a puzzle which lies at the heart of contemporary physicalist theories of mind. On the one hand, the original motivation for physicalism was the need to explain the place of mental causation in the physical world. On the other hand, physicalists have recently come to see the explanation of mental causation as one of their major problems. But how can this be? How can it be that physicalist theories still have a problem explaining something which their (...)
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  35. The Phenomenology of Agency.Tim Bayne - 2008 - Philosophy Compass 3 (1):182-202.
    The phenomenology of agency has, until recently, been rather neglected, overlooked by both philosophers of action and philosophers of consciousness alike. Thankfully, all that has changed, and of late there has been an explosion of interest in what it is like to be an agent. 1 This burgeoning field crosses the traditional boundaries between disciplines: philosophers of psychopathology are speculating about the role that unusual experiences of agency might play in accounting for disorders of thought and action; cognitive scientists are (...)
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  36. Delusions as Doxastic States: Contexts, Compartments, and Commitments.Tim Bayne - 2010 - Philosophy, Psychiatry, and Psychology 17 (4):329-336.
    Although delusions are typically regarded as beliefs of a certain kind, there have been worries about the doxastic conception of delusions since at least Bleuler’s time. ‘Anti-doxasticists,’ as we might call them, do not merely worry about the claim that delusions are beliefs, they reject it. Reimer’s paper weighs into the debate between ‘doxasticists’ and ‘anti-doxasticists’ by suggesting that one of the main arguments given against the doxastic conception of delusions—what we might call the functional role objection—is based on a (...)
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  37. Kantian Phenomenalism Without Berkeleyan Idealism.Tim Jankowiak - 2017 - Kantian Review 22 (2):205-231.
    Phenomenalist interpretations of Kant are out of fashion. The most common complaint from anti-phenomenalist critics is that a phenomenalist reading of Kant would collapse Kantian idealism into Berkeleyan idealism. This would be unacceptable because Berkeleyan idealism is incompatible with core elements of Kant’s empirical realism. In this paper, I argue that not all phenomenalist readings threaten empirical realism. First, I distinguish several variants of phenomenalism, and then show that Berkeley’s idealism is characterized by his commitment to most of them. I (...)
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  38. (1 other version)Intentional Objects.Tim Crane - 2001 - Ratio 14 (4):298-317.
    Is there, or should there be, any place in contemporary philosophy of mind for the concept of an intentional object? Many philosophers would make short work of this question. In a discussion of what intentional objects are supposed to be, John Searle...
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  39. Sensations as Representations in Kant.Tim Jankowiak - 2014 - British Journal for the History of Philosophy 22 (3):492-513.
    This paper defends an interpretation of the representational function of sensation in Kant's theory of empirical cognition. Against those who argue that sensations are ?subjective representations? and hence can only represent the sensory state of the subject, I argue that Kant appeals to different notions of subjectivity, and that the subjectivity of sensations is consistent with sensations representing external, spatial objects. Against those who claim that sensations cannot be representational at all, because sensations are not cognitively sophisticated enough to possess (...)
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  40. Consequentialism, Collective Action, and Causal Impotence.Tim Aylsworth & Adam Pham - 2020 - Ethics, Policy and Environment 23 (3):336-349.
    This paper offers some refinements to a particular objection to act consequentialism, the “causal impotence” objection. According to proponents of the objection, when we find circumstances in which severe, unnecessary harms result entirely from voluntary acts, it seems as if we should be able to indict at least one act among those acts, but act consequentialism appears to lack the resources to offer this indictment. Our aim is to show is that the most promising response on behalf of act consequentialism, (...)
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  41. On the social nature of artefacts.Tim Juvshik - 2024 - Theoria 89 (6):910-932.
    Recent work in metaphysics has focused on the nature of artefacts, most accounts of which assume that artefacts depend on the intentions of their individual makers. Artefacts are thus importantly different from institutional kinds, which involve collective intentions. However, recent work in social ontology has yielded renewed focus on the social dimensions of various kinds, including artefacts. As a result, some philosophers have suggested that artefacts have a distinctly social dimension that goes beyond their makers' individual intentions but which stops (...)
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  42. Kant's Argument for the Principle of Intensive Magnitudes.Tim Jankowiak - 2013 - Kantian Review 18 (3):387-412.
    In the first Critique, Kant attempts to prove what we can call the "Principle of Intensive Magnitudes," according to which every possible object of experience will possess a determinate "degree" of reality. Curiously, Kant argues for this principle by inferring from a psychological premise about internal sensations (they have intensive magnitudes) to a metaphysical thesis about external objects (they also have intensive magnitudes). Most commentators dismiss the argument as a failure. In this article I give a reconstruction of Kant's argument (...)
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  43. Brentano on Intentionality.Tim Crane - 2017 - In Uriah Kriegel (ed.), The Routledge Handbook of Franz Brentano and the Brentano School. London and New York: Routledge. pp. 41-48.
    Brentano’s account of what he called intentionale Inexistenz — what we now call intentionality — is without question one of the most important parts of his philosophy, and one of the most influential ideas in late 19th-century philosophy. Here I will explain how this idea figures in Brentano’s central text, Psychology from an Empirical Standpoint (Brentano 1995a). I will then briefly explain how Brentano’s ideas about intentionality evolved after the first publication of this work in 1874, and how they were (...)
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  44. (1 other version)Bald-faced bullshit and authoritarian political speech: Making sense of Johnson and Trump.Tim Kenyon & Jennifer Saul - 2022 - In Laurence R. Horn (ed.), From lying to perjury: linguistic and legal perspective on lies and other falsehoods. Boston: De Gruyter Mouton. pp. 165-194.
    Donald Trump and Boris Johnson are notoriously uninterested in truthtelling. They also often appear uninterested even in constructing plausible falsehoods. What stands out above all is the brazenness and frequency with which they repeat known falsehoods. In spite of this, they are not always greeted with incredulity. Indeed, Republicans continue to express trust in Donald Trump in remarkable numbers. The only way to properly make sense of what Trump and Johnson are doing, we argue, is to give a greater role (...)
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  45. An epistemic modal norm of practical reasoning.Tim Henning - 2021 - Synthese 199 (3-4):6665-6686.
    When are you in a position to rely on p in practical reasoning? Existing accounts say that you must know that p, or be in a position to know that p, or be justified in believing that p, or be in a position to justifiably believe it, and so on. This paper argues that all of these proposals face important problems, which I call the Problems of Negative Bootstrapping and of Level Confusions. I offer a diagnosis of these problems, and (...)
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  46. The unity of consciousness and the split-brain syndrome.Tim Bayne - 2008 - Journal of Philosophy 105 (6):277-300.
    According to conventional wisdom, the split-brain syndrome puts paid to the thesis that consciousness is necessarily unified. The aim of this paper is to challenge that view. I argue both that disunity models of the split-brain are highly problematic, and that there is much to recommend a model of the split-brain—the switch model—according to which split-brain patients retain a fully unified consciousness at all times. Although the task of examining the unity of consciousness through the lens of the split-brain syndrome (...)
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  47. On the Correspondence between Nested Calculi and Semantic Systems for Intuitionistic Logics.Tim Lyon - 2021 - Journal of Logic and Computation 31 (1):213-265.
    This paper studies the relationship between labelled and nested calculi for propositional intuitionistic logic, first-order intuitionistic logic with non-constant domains and first-order intuitionistic logic with constant domains. It is shown that Fitting’s nested calculi naturally arise from their corresponding labelled calculi—for each of the aforementioned logics—via the elimination of structural rules in labelled derivations. The translational correspondence between the two types of systems is leveraged to show that the nested calculi inherit proof-theoretic properties from their associated labelled calculi, such as (...)
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  48. Knot and Tonk: Nasty Connectives on Many-Valued Truth-Tables for Classical Sentential Logic.Tim Button - 2016 - Analysis 76 (1):7-19.
    Prior’s Tonk is a famously horrible connective. It is defined by its inference rules. My aim in this article is to compare Tonk with some hitherto unnoticed nasty connectives, which are defined in semantic terms. I first use many-valued truth-tables for classical sentential logic to define a nasty connective, Knot. I then argue that we should refuse to add Knot to our language. And I show that this reverses the standard dialectic surrounding Tonk, and yields a novel solution to the (...)
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  49. The Language of Thought: No Syntax Without Semantics.Tim Crane - 1990 - Mind and Language 5 (3):187-213.
    Many philosophers think that being in an intentional state is a matter of being related to a sentence in a mental language-a 'Language of Thought' (see especially Fodor 1975, 1987 Appendix; Field 1978). According to this view-which I shall call 'the LT hypothesis'-when anyone has a belief or a desire or a hope with a certain content, they have a sentence of this language, with that content, 'written' in their heads. The claim is meant quite literally: the mental representations that (...)
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  50. Syntactic Interpolation for Tense Logics and Bi-Intuitionistic Logic via Nested Sequents.Tim Lyon, Alwen Tiu, Rajeev Gore & Ranald Clouston - 2020 - In Maribel Fernandez & Anca Muscholl (eds.), 28th EACSL Annual Conference on Computer Science Logic (CSL 2020). pp. 1-16.
    We provide a direct method for proving Craig interpolation for a range of modal and intuitionistic logics, including those containing a "converse" modality. We demonstrate this method for classical tense logic, its extensions with path axioms, and for bi-intuitionistic logic. These logics do not have straightforward formalisations in the traditional Gentzen-style sequent calculus, but have all been shown to have cut-free nested sequent calculi. The proof of the interpolation theorem uses these calculi and is purely syntactic, without resorting to embeddings, (...)
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