Results for 'Thomas Curtin'

937 found
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  1. Thomas White on Location and the Ontological Status of Accidents.Han Thomas Adriaenssen - 2021 - Oxford Studies in Early Modern Philosophy 10:1-35.
    The work of Thomas White represents a systematic attempt to combine the best of the new science of the seventeenth century with the best of Aristotelian tradition. This attempt earned him the criticism of Hobbes and the praise of Leibniz, but today, most of his attempts to navigate between traditions remain to be explored in detail. This paper does so for his ontology of accidents. It argues that his criticism of accidents in the category of location as entities over (...)
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  2. Thomas Hobbes and Thomas White on Identity and Discontinuous Existence.Han Thomas Adriaenssen & Sam Alma - 2021 - Pacific Philosophical Quarterly 102 (3):429-454.
    Is it possible for an individual that has gone out of being to come back into being again? The English Aristotelian, Thomas White, argued that it is not. Thomas Hobbes disagreed, and used the case of the Ship of Theseus to argue that individuals that have gone out of being may come back into being again. This paper provides the first systematic account of their arguments. It is doubtful that Hobbes has a consistent case against White. Still his (...)
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  3. History of Philosophy of Science as Philosophy of Science by other Means? Comment on Thomas Uebel.Thomas Mormann - 2010 - In Thomas Uebel, Stephan Hartmann, Wenceslao Gonzalez, Marcel Weber, Dennis Dieks & Friedrich Stadler (eds.), The Present Situation in the Philosophy of Science. Springer. pp. 29--39.
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  4. A Cultural Species and its Cognitive Phenotypes: Implications for Philosophy.Joseph Henrich, Damián E. Blasi, Cameron M. Curtin, Helen Elizabeth Davis, Ze Hong, Daniel Kelly & Ivan Kroupin - 2022 - Review of Philosophy and Psychology 14 (2):349-386.
    After introducing the new field of cultural evolution, we review a growing body of empirical evidence suggesting that culture shapes what people attend to, perceive and remember as well as how they think, feel and reason. Focusing on perception, spatial navigation, mentalizing, thinking styles, reasoning (epistemic norms) and language, we discuss not only important variation in these domains, but emphasize that most researchers (including philosophers) and research participants are psychologically peculiar within a global and historical context. This rising tide of (...)
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  5. The Emptiness of Naturalism.Thomas Raleigh - forthcoming - Philosophy.
    [ROYAL INSTITUTE OF PHILOSOPHY 2023 ESSAY PRIZE WINNER] I argue that the term ‘naturalism’ is so empty of meaning that it is not suitable for serious theorizing in philosophy. In particular, I argue that the question of whether or not some theory or thesis should count as naturalistic is an empty verbal dispute with no further theoretical significance. I also discuss naturalism construed as a methodological thesis and argue that any plausible version will collapse into triviality. Lastly, I briefly discuss (...)
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  6. The elephant and the blind: the experience of pure consciousness: philosophy, science, and 500+ experiential reports.Thomas Metzinger - 2024 - Cambridge, Massachusetts: The MIT Press.
    The Elephant and the Blind is a book about why we need a new culture of consciousness, and how to get it. A culture of consciousness (or Bewusstseinskultur) is a culture that values and cultivates the mental states of its members in an ethical and evidence-based way.
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  7. The Possibility of Epistemic Nudging.Thomas Grundmann - 2023 - Social Epistemology 37 (2):208-218.
    Typically, nudging is a technique for steering the choices of people without giving reasons or using enforcement. In benevolent cases, it is used when people are insufficiently responsive to reason. The nudger triggers automatic cognitive mechanisms – sometimes even biases – in smart ways in order to push irrational people in the right direction. Interestingly, this technique can also be applied to doxastic attitudes. Someone who is doxastically unresponsive to evidence can be nudged into forming true beliefs or doxastic attitudes (...)
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  8. Reliability in Machine Learning.Thomas Grote, Konstantin Genin & Emily Sullivan - 2024 - Philosophy Compass 19 (5):e12974.
    Issues of reliability are claiming center-stage in the epistemology of machine learning. This paper unifies different branches in the literature and points to promising research directions, whilst also providing an accessible introduction to key concepts in statistics and machine learning – as far as they are concerned with reliability.
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  9. Does encouraging a belief in determinism increase cheating? Reconsidering the value of believing in free will.Thomas Nadelhoffer, Jason Shepard, Damien L. Crone, Jim A. C. Everett, Brian D. Earp & Neil Levy - 2020 - Cognition 203 (C):104342.
    A key source of support for the view that challenging people’s beliefs about free will may undermine moral behavior is two classic studies by Vohs and Schooler (2008). These authors reported that exposure to certain prompts suggesting that free will is an illusion increased cheating behavior. In the present paper, we report several attempts to replicate this influential and widely cited work. Over a series of five studies (sample sizes of N = 162, N = 283, N = 268, N (...)
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  10. The past and future of experimental philosophy.Thomas Nadelhoffer & Eddy Nahmias - 2007 - Philosophical Explorations 10 (2):123 – 149.
    Experimental philosophy is the name for a recent movement whose participants use the methods of experimental psychology to probe the way people think about philosophical issues and then examine how the results of such studies bear on traditional philosophical debates. Given both the breadth of the research being carried out by experimental philosophers and the controversial nature of some of their central methodological assumptions, it is of no surprise that their work has recently come under attack. In this paper we (...)
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  11. (1 other version)Introduction to Cultural domination: philosophical perspectives.Thomas M. Besch, Raphael Van Riel, Harold Kincaid & Tarun Menon - forthcoming - In Thomas M. Besch, Raphael Van Riel, Harold Kincaid & Tarun Menon (eds.), Cultural domination: philosophical perspectives. Routledge (expected 2024).
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  12. Effective Altruism and Requiring Reasons to Help Others.Thomas Sinclair - 2024 - Public Affairs Quarterly 38 (1):62-77.
    Theron Pummer's impressive new book The Rules of Rescue seeks to defend effective altruism without taking on the controversial moral theoretical commitments. Through an exploration of the framework of requiring reasons and permitting reasons that is the backbone of his argument, this article raises some doubts about how successful Pummer's strategy of avoidance can be.
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  13. Extending the Gamer’s Dilemma: empirically investigating the paradox of fictionally going too far across media.Thomas Montefiore, Paul Formosa & Vince Polito - forthcoming - Philosophical Psychology.
    The Gamer’s Dilemma is based on the intuitions that in single-player video games fictional acts of murder are seen as morally acceptable whereas fictional acts of sexual assault are seen as morally unacceptable. Recently, it has been suggested that these intuitions may apply across different forms of media as part of a broader Paradox of Fictionally Going Too Far. This study aims to empirically explore this issue by determining whether fictional murder is seen as more morally acceptable than fictional sexual (...)
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  14. On domination: toward a status-centric view.Thomas M. Besch - manuscript
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  15. Taking Risks on Behalf of Another.Johanna Thoma - 2023 - Philosophy Compass 18 (3):e12898.
    A growing number of decision theorists have, in recent years, defended the view that rationality is permissive under risk: Different rational agents may be more or less risk-averse or risk-inclined. This can result in them making different choices under risk even if they value outcomes in exactly the same way. One pressing question that arises once we grant such permissiveness is what attitude to risk we should implement when choosing on behalf of other people. Are we permitted to implement any (...)
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  16. A Theory of Granular Partitions.Thomas Bittner & Barry Smith - 2003 - In Matt Duckham, Michael F. Goodchild & Michael Worboys (eds.), Foundations of Geographic Information Science. London: Taylor & Francis. pp. 117-151.
    We have a variety of different ways of dividing up, classifying, mapping, sorting and listing the objects in reality. The theory of granular partitions presented here seeks to provide a general and unified basis for understanding such phenomena in formal terms that is more realistic than existing alternatives. Our theory has two orthogonal parts: the first is a theory of classification; it provides an account of partitions as cells and subcells; the second is a theory of reference or intentionality; it (...)
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  17. Resisting the Gamer’s Dilemma.Thomas Montefiore & Paul Formosa - 2022 - Ethics and Information Technology 24 (3):1-13.
    Intuitively, many people seem to hold that engaging in acts of virtual murder in videogames is morally permissible, whereas engaging in acts of virtual child molestation is morally impermissible. The Gamer’s Dilemma (Luck in Ethics Inf Technol 11:31–36, 2009) challenges these intuitions by arguing that it is unclear whether there is a morally relevant difference between these two types of virtual actions. There are two main responses in the literature to this dilemma. First, attempts to resolve the dilemma by defending (...)
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  18. Against ‘Good for’/‘Well-Being’, for ‘Simply Good’.Thomas Hurka - 2021 - Philosophical Quarterly 71 (4):803-22.
    This paper challenges the widely held view that ‘good for’, ‘well-being’, and related terms express a distinctive evaluative concept of central importance for ethics and separate from ‘simply good’ as used by G. E. Moore and others. More specifically, it argues that there's no philosophically useful good-for or well-being concept that's neither merely descriptive in the sense of naturalistic nor reducible to ‘simply good’. The paper distinguishes two interpretations of the common claim that the value ‘good for’ expresses is distinctively (...)
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  19. Artificial Suffering: An Argument for a Global Moratorium on Synthetic Phenomenology.Thomas Metzinger - 2021 - Journal of Artificial Intelligence and Consciousness 1 (8):1-24.
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  20. (1 other version)Phenomenology without Representation.Thomas Raleigh - 2013 - European Journal of Philosophy 21 (3):1209-1237.
    I criticise a recent variety of argument for the representational theory of experience, which holds that the very idea of perceptual experience entails the representational view. I argue that the representational view is not simply obvious, nor is it contained in the mere idea of the world looking some way. I also clarify and re-present an argument against the representational view due to Charles Travis.
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  21. Why Be Random?Thomas Icard - 2021 - Mind 130 (517):111-139.
    When does it make sense to act randomly? A persuasive argument from Bayesian decision theory legitimizes randomization essentially only in tie-breaking situations. Rational behaviour in humans, non-human animals, and artificial agents, however, often seems indeterminate, even random. Moreover, rationales for randomized acts have been offered in a number of disciplines, including game theory, experimental design, and machine learning. A common way of accommodating some of these observations is by appeal to a decision-maker’s bounded computational resources. Making this suggestion both precise (...)
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  22. Natural Compatibilism, Indeterminism, and Intrusive Metaphysics.Thomas Nadelhoffer, David Rose, Wesley Buckwalter & Shaun Nichols - 2020 - Cognitive Science 44 (8):e12873.
    The claim that common sense regards free will and moral responsibility as compatible with determinism has played a central role in both analytic and experimental philosophy. In this paper, we show that evidence in favor of this “natural compatibilism” is undermined by the role that indeterministic metaphysical views play in how people construe deterministic scenarios. To demonstrate this, we re-examine two classic studies that have been used to support natural compatibilism. We find that although people give apparently compatibilist responses, this (...)
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  23. Social Inconsistency.Thomas Brouwer - 2022 - Ergo: An Open Access Journal of Philosophy 9.
    Though the social world is real and objective, the way that social facts arise out of other facts is in an important way shaped by human thought, talk and behaviour. Building on recent work in social ontology, I describe a mechanism whereby this distinctive malleability of social facts, combined with the possibility of basic human error, makes it possible for a consistent physical reality to ground an inconsistent social reality. I explore various ways of resisting the prima facie case for (...)
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  24. Intuitions About Free Will and the Failure to Comprehend Determinism.Thomas Nadelhoffer, Samuel Murray & Elise Dykhuis - 2023 - Erkenntnis 88 (6):2515-2536.
    Theories of free will are often measured against how well they capture everyday intuitions about free will. But what are these everyday intuitions, and what theoretical commitments do they express? Empirical methods have delivered mixed messages. In response, some free will theorists have developed error theories to undermine the credentials of countervailing intuitions. These efforts are predicated on the idea that people might misunderstand determinism in any of several ways. This paper sheds light on the comprehension problem. We first discuss (...)
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  25. Crossing the Fictional Line: Moral Graveness, the Gamer’s Dilemma, and the Paradox of Fictionally Going Too Far.Thomas Montefiore & Paul Formosa - 2023 - Philosophy and Technology 36 (3):1-21.
    The Gamer’s Dilemma refers to the philosophical challenge of justifying the intuitive difference people seem to see between the moral permissibility of enacting virtual murder and the moral impermissibility of enacting virtual child molestation in video games (Luck Ethics and Information Technology, 1:31, 2009). Recently, Luck in Philosophia, 50:1287–1308, 2022 has argued that the Gamer’s Dilemma is actually an instance of a more general “paradox”, which he calls the “paradox of treating wrongdoing lightly”, and he proposes a graveness resolution to (...)
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  26. (1 other version)The myth of cognitive agency: subpersonal thinking as a cyclically recurring loss of mental autonomy.Thomas Metzinger - 2013 - Frontiers in Psychology 4:931.
    This metatheoretical paper investigates mind wandering from the perspective of philosophy of mind. It has two central claims. The first is that, on a conceptual level, mind wandering can be fruitfully described as a specific form of mental autonomy loss. The second is that, given empirical constraints, most of what we call “conscious thought” is better analyzed as a subpersonal process that more often than not lacks crucial properties traditionally taken to be the hallmark of personal-level cognition - such as (...)
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  27. Husserl’s Theory of Signitive and Empty Intentions in Logical Investigations and its Revisions: Meaning Intentions and Perceptions.Thomas Byrne - 2020 - Journal of the British Society for Phenomenology 52 (1):16-32.
    This paper examines the evolution of Husserl’s philosophy of nonintuitive intentions. The analysis has two stages. First, I expose a mistake in Husserl’s account of non-intuitive acts from his 1901 Logical Investigations. I demonstrate that Husserl employs the term “signitive” too broadly, as he concludes that all non-intuitive acts are signitive. He states that not only meaning acts, but also the contiguity intentions of perception are signitive acts. Second, I show how Husserl, in his 1913/14 Revisions to the Sixth Logical (...)
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  28. ‘Wholly Present’ Defined.Thomas M. Crisp & Donald P. Smith - 2005 - Philosophy and Phenomenological Research 71 (2):318–344.
    Three-dimensionalists , sometimes referred to as endurantists, think that objects persist through time by being “wholly present” at every time they exist. But what is it for something to be wholly present at a time? It is surprisingly difficult to say. The threedimensionalist is free, of course, to take ‘is wholly present at’ as one of her theory’s primitives, but this is problematic for at least one reason: some philosophers claim not to understand her primitive. Clearly the three-dimensionalist would be (...)
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  29. Husserl’s 1901 and 1913 Philosophies of Perceptual Occlusion: Signitive, Empty, and Dark Intentions.Thomas Byrne - 2020 - Husserl Studies 36 (2):123-139.
    This paper examines the evolution of Edmund Husserl’s theory of perceptual occlusion. This task is accomplished in two stages. First, I elucidate Husserl’s conclusion, from his 1901 Logical Investigations, that the occluded parts of perceptual objects are intended by partial signitive acts. I focus on two doctrines of that account. I examine Husserl’s insight that signitive intentions are composed of Gehalt and I discuss his conclusion that signitive intentions sit on the continuum of fullness. Second, the paper discloses how Husserl (...)
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  30. Public Justification, Inclusion, and Discursive Equality.Thomas M. Besch - 2018 - Dialogue 57 (3):591-614.
    The paper challenges the view that public justification sits well with emancipatory and egalitarian intuitions. I distinguish between the depth, scope and the purchase of the discursive standing that such justification allocates, and situate within this matrix Rawls’s view of public justification. A standard objection to this view is that public justification should be more inclusive in scope. This is both plausible and problematic in emancipatory and egalitarian terms. If inclusive public justification allocates discursive standing that is rich in purchase, (...)
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  31. Prototypes, Poles, and Topological Tessellations of Conceptual Spaces.Thomas Mormann - 2021 - Synthese 199 (1):3675 - 3710.
    Abstract. The aim of this paper is to present a topological method for constructing discretizations (tessellations) of conceptual spaces. The method works for a class of topological spaces that the Russian mathematician Pavel Alexandroff defined more than 80 years ago. Alexandroff spaces, as they are called today, have many interesting properties that distinguish them from other topological spaces. In particular, they exhibit a 1-1 correspondence between their specialization orders and their topological structures. Recently, a special type of Alexandroff spaces was (...)
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  32. Topic Transparency and Variable Sharing in Weak Relevant Logics.Thomas Macaulay Ferguson & Shay Allen Logan - forthcoming - Erkenntnis:1-28.
    In this paper, we examine a number of relevant logics’ variable sharing properties from the perspective of theories of topic or subject-matter. We take cues from Franz Berto’s recent work on topic to show an alignment between families of variable sharing properties and responses to the topic transparency of relevant implication and negation. We then introduce and defend novel variable sharing properties stronger than strong depth relevance—which we call cn-relevance and lossless cn-relevance—showing that the properties are satisfied by the weak (...)
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  33. Political Legitimacy as a Problem of Judgment.Thomas Fossen - 2022 - Social Theory and Practice 48 (1):89-113.
    This paper examines the differences between moralist, realist, and pragmatist approaches to political legitimacy by articulating their largely implicit views of judgment. Three claims are advanced. First, the salient opposition among approaches to legitimacy is not between “moralism” and “realism.” Recent realist proposals for rethinking legitimacy share with moralist views a distinctive form, called “normativism”: a quest for knowledge of principles that solve the question of legitimacy. This assumes that judging legitimacy is a matter of applying such principles to a (...)
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  34. On the Compatibility of Epistocracy and Public Reason.Thomas Mulligan - 2015 - Social Theory and Practice 41 (3):458-476.
    In "epistocratic" forms of government, political power is wielded by those who possess the knowledge relevant to good policymaking. Some democrats--notably, David Estlund--concede that epistocracy might produce better political outcomes than democracy but argue that epistocracy cannot be justified under public reason. These objections to epistocracy are unsound because they violate a viability constraint: they are also fatal to democracy and all other plausible political arrangements. Moreover, there is a problem with the public reason framework itself--a problem that can only (...)
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  35. The Typicality Effect in Basic Needs.Thomas Pölzler & Ivar R. Hannikainen - 2022 - Synthese 200 (5):1-26.
    According to the so-called Classical Theory, concepts are mentally represented by individually necessary and jointly sufficient application conditions. One of the principal empirical objections against this view stems from evidence that people judge some instances of a concept to be more typical than others. In this paper we present and discuss four empirical studies that investigate the extent to which this ‘typicality effect’ holds for the concept of basic needs. Through multiple operationalizations of typicality, our studies yielded evidence for a (...)
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  36. Subjective Probability as Sampling Propensity.Thomas Icard - 2016 - Review of Philosophy and Psychology 7 (4):863-903.
    Subjective probability plays an increasingly important role in many fields concerned with human cognition and behavior. Yet there have been significant criticisms of the idea that probabilities could actually be represented in the mind. This paper presents and elaborates a view of subjective probability as a kind of sampling propensity associated with internally represented generative models. The resulting view answers to some of the most well known criticisms of subjective probability, and is also supported by empirical work in neuroscience and (...)
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  37. Folk intuitions and the conditional ability to do otherwise.Thomas Nadelhoffer, Siyuan Yin & Rose Graves - 2020 - Philosophical Psychology 33 (7):968-996.
    In a series of pre-registered studies, we explored (a) the difference between people’s intuitions about indeterministic scenarios and their intuitions about deterministic scenarios, (b) the difference between people’s intuitions about indeterministic scenarios and their intuitions about neurodeterministic scenarios (that is, scenarios where the determinism is described at the neurological level), (c) the difference between people’s intuitions about neutral scenarios (e.g., walking a dog in the park) and their intuitions about negatively valenced scenarios (e.g., murdering a stranger), and (d) the difference (...)
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  38. The Problem of Mental Action.Thomas Metzinger - 2017 - Philosophy and Predicitive Processing.
    In mental action there is no motor output to be controlled and no sensory input vector that could be manipulated by bodily movement. It is therefore unclear whether this specific target phenomenon can be accommodated under the predictive processing framework at all, or if the concept of “active inference” can be adapted to this highly relevant explanatory domain. This contribution puts the phenomenon of mental action into explicit focus by introducing a set of novel conceptual instruments and developing a first (...)
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  39. Plural Voting for the Twenty-First Century.Thomas Mulligan - 2018 - Philosophical Quarterly 68 (271):286-306.
    Recent political developments cast doubt on the wisdom of democratic decision-making. Brexit, the Colombian people's (initial) rejection of peace with the FARC, and the election of Donald Trump suggest that the time is right to explore alternatives to democracy. In this essay, I describe and defend the epistocratic system of government which is, given current theoretical and empirical knowledge, most likely to produce optimal political outcomes—or at least better outcomes than democracy produces. To wit, we should expand the suffrage as (...)
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  40. The Recent Renaissance of Acquaintance.Thomas Raleigh - 2019 - In Jonathan Knowles & Thomas Raleigh (eds.), Acquaintance: New Essays. Oxford, United Kingdom: Oxford University Press.
    This is the introductory essay to the collection of essays: 'Acquaintance: New Essays' (eds. Knowles & Raleigh, forthcoming, OUP). In this essay I provide some historical background to the concept of acquaintance. I examine various Russellian theses about acquaintance that contemporary acquaintance theorists may wish to reject. I consider a number of questions that acquaintance theorists face. I provide a survey of current debates in philosophy where acquaintance has recently been invoked. And I also provide brief summaries of the other (...)
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  41. A Metaphysical Puzzle for Neo‐Fregean Abstractionists.Thomas Donaldson - 2023 - Theoria 89 (3):266-279.
    We discuss abstraction principles in the context of modal and temporal logic. It is argued that abstractionism conflicts with both serious presentism and serious actualism.
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  42. (1 other version)If Nudges Treat Their Targets as Rational Agents, Nonconsensual Neurointerventions Can Too.Thomas Douglas - 2022 - Ethical Theory and Moral Practice 1:1-16.
    Andreas Schmidt and Neil Levy have recently defended nudging against the objection that nudges fail to treat nudgees as rational agents. Schmidt rejects two theses that have been taken to support the objection: that nudges harness irrational processes in the nudgee, and that they subvert the nudgee’s rationality. Levy rejects a third thesis that may support the objection: that nudges fail to give reasons. I argue that these defences can be extrapolated from nudges to some nonconsensual neurointerventions; if Schmidt’s and (...)
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  43. Social Science, Policy and Democracy.Johanna Thoma - 2023 - Philosophy and Public Affairs 52 (1):5-41.
    Philosophy &Public Affairs, Volume 52, Issue 1, Page 5-41, Winter 2024.
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  44. (1 other version)Basic needs in normative contexts.Thomas Pölzler - 2021 - Philosophy Compass 16 (5):e12732.
    In answering normative questions, researchers sometimes appeal to the concept of basic needs. Their guiding idea is that our first priority should be to ensure that everybody is able to meet these needs—to have enough in terms of food, water, shelter, and so on. This article provides an opinionated overview of basic needs in normative contexts. Any basic needs theory must answer three questions: (1) What are basic needs? (2) To what extent do basic needs generate reasons for action and (...)
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  45. Preserving preservationism: A reply to Lackey.Thomas D. Senor - 2007 - Philosophy and Phenomenological Research 74 (1):199–208.
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  46. What can we know about unanswerable questions?Thomas Raleigh - forthcoming - Philosophical Quarterly.
    I present two arguments that aim to establish logical limits on what we can know. More specifically, I argue for two results concerning what we can know about questions that we cannot answer. I also discuss a line of thought, found in the writings of Pierce and of Rescher, in support of the idea that we cannot identify specific scientific questions that will never be answered.
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  47. Hat das Sein einen Namen? : Benjamins messianische Hermeneutik.Thomas Schwarz Wentzer - 1999 - Philosophische Rundschau 48 (No. 1):1-25.
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  48. MAKING Metaphysics.Thomas Byrne - 2021 - Philosophers' Imprint 21 (20).
    We can cause windows to break and we can break windows; we can cause villages to flood and we can flood villages; and we can cause chocolate to melt and we can melt chocolate. Each time these can come apart: if, for example, A merely instructs B to break the window, then A causes the window to break without breaking it herself. Each instance of A breaking/flooding/melting/burning/killing/etc. something, is an instance of what I call making. I argue that making is (...)
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  49. The value of vague ideas in the development of the periodic system of chemical elements.Vogt Thomas - 2021 - Synthese 199 (3-4):10587-10614.
    The exploration of chemical periodicity over the past 250 years led to the development of the Periodic System of Elements and demonstrates the value of vague ideas that ignored early scientific anomalies and instead allowed for extended periods of normal science where new methodologies and concepts are developed. The basic chemical element provides this exploration with direction and explanation and has shown to be a central and historically adaptable concept for a theory of matter far from the reductionist frontier. This (...)
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  50. Mutual translatability, equivalence, and the structure of theories.Thomas William Barrett & Hans Halvorson - 2022 - Synthese 200 (3):1-36.
    This paper presents a simple pair of first-order theories that are not definitionally (nor Morita) equivalent, yet are mutually conservatively translatable and mutually 'surjectively' translatable. We use these results to clarify the overall geography of standards of equivalence and to show that the structural commitments that theories make behave in a more subtle manner than has been recognized.
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