Results for 'Paradox of the Ravens'

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  1. A New Bayesian Solution to the Paradox of the Ravens.Susanna Rinard - 2014 - Philosophy of Science 81 (1):81-100.
    The canonical Bayesian solution to the ravens paradox faces a problem: it entails that black non-ravens disconfirm the hypothesis that all ravens are black. I provide a new solution that avoids this problem. On my solution, black ravens confirm that all ravens are black, while non-black non-ravens and black non-ravens are neutral. My approach is grounded in certain relations of epistemic dependence, which, in turn, are grounded in the fact that the kind (...)
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  2. Resolving the Raven Paradox: Simple Random Sampling, Stratified Random Sampling, and Inference to Best Explanation.Barry Ward - 2022 - Philosophy of Science 89 (2):360-377.
    Simple random sampling resolutions of the raven paradox relevantly diverge from scientific practice. We develop a stratified random sampling model, yielding a better fit and apparently rehabilitating simple random sampling as a legitimate idealization. However, neither accommodates a second concern, the objection from potential bias. We develop a third model that crucially invokes causal considerations, yielding a novel resolution that handles both concerns. This approach resembles Inference to the Best Explanation (IBE) and relates the generalization’s confirmation to confirmation of (...)
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  3. The bases of truths.Michael J. Raven - 2023 - Philosophical Studies 180 (7):2153-2174.
    This paper concerns a distinction between circumstantial truths that hold because of the circumstances and acircumstantial truths that hold regardless of, or transcend, the circumstances. Previous discussions of the distinction tended to focus on its applications, such as to modality, logical truth, and essence. This paper focuses on developing the distinction largely, but not entirely, in abstraction from its potential applications. As such, the paper’s main contribution is to further clarify the distinction itself. An indirect contribution is to help guide (...)
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  4. Channels’ Confirmation and Predictions’ Confirmation: From the Medical Test to the Raven Paradox.Chenguang Lu - 2020 - Entropy 22 (4):384.
    After long arguments between positivism and falsificationism, the verification of universal hypotheses was replaced with the confirmation of uncertain major premises. Unfortunately, Hemple proposed the Raven Paradox. Then, Carnap used the increment of logical probability as the confirmation measure. So far, many confirmation measures have been proposed. Measure F proposed by Kemeny and Oppenheim among them possesses symmetries and asymmetries proposed by Elles and Fitelson, monotonicity proposed by Greco et al., and normalizing property suggested by many researchers. Based on (...)
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  5. A Neglected Response to the Paradoxes of Confirmation.Murali Ramachandran - 2017 - South African Journal of Philosophy 36 (2):179-85.
    Hempel‘s paradox of the ravens, and his take on it, are meant to be understood as being restricted to situations where we have no additional background information. According to him, in the absence of any such information, observations of FGs confirm the hypothesis that all Fs are G. In this paper I argue against this principle by way of considering two other paradoxes of confirmation, Goodman‘s 'grue‘ paradox and the 'tacking‘ (or 'irrelevant conjunct‘) paradox. What these (...)
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  6. Fundamentality without Foundations.Michael J. Raven - 2016 - Philosophy and Phenomenological Research 93 (3):607-626.
    A commonly held view is that a central aim of metaphysics is to give a fundamental account of reality which refers only to the fundamental entities. But a puzzle arises. It is at least a working hypothesis for those pursuing the aim that, first, there must be fundamental entities. But, second, it also seems possible that the world has no foundation, with each entity depending on others. These two claims are inconsistent with the widely held third claim that the fundamental (...)
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  7. A Puzzle for Social Essences.Michael J. Raven - 2022 - Journal of the American Philosophical Association 8 (1):128-148.
    The social world contains institutions, groups, objects, and more. This essay explores a puzzle about the essences of social items. There is widespread consensus against social essences because of problematic presuppositions often made about them. But it is argued that essence can be freed from these presuppositions and their problems. Even so, a puzzle still arises. In a Platonic spirit, essences in general seem detached from the world. In an Aristotelian spirit, social essences in particular seem embedded in the world. (...)
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  8. Explaining essences.Michael J. Raven - 2020 - Philosophical Studies 178 (4):1043-1064.
    This paper explores the prospects of combining two views. The first view is metaphysical rationalism : all things have an explanation. The second view is metaphysical essentialism: there are real essences. The exploration is motivated by a conflict between the views. Metaphysical essentialism posits facts about essences. Metaphysical rationalism demands explanations for all facts. But facts about essences appear to resist explanation. I consider two solutions to the conflict. Exemption solutions attempt to exempt facts about essences from the demand for (...)
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  9.  13
    Physicalism and its Challenges in Social Ontology.Michael J. Raven - forthcoming - In Stephanie Collins, Brian Epstein, Sally Haslanger & Hans B. Schmid (eds.), Oxford Handbook of Social Ontology. Oxford University Press.
    This chapter will discuss the relation of physicalism to social ontology, and explores problems that social ontology raises for physicalism. Physicalism is often understood to be the view that all facts—the social ones included—are physical facts, or at least are exhaustively determined by physical facts. While this view is widely endorsed, social phenomena challenge physicalism in several ways, both challenging the coherence of claims of physicalism and raising potential counterexamples.
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  10.  91
    Understanding the 'Six Paradoxes of Post-Colonial Violence' as the Ontology of Insecurity in Nigeria.Omobola Olufunto Badejo & Abidemi Israel Ogunyomi - 2021 - Journal of Oriental and African Studies 30:369-388.
    It is incontrovertible that the problem of insecurity is part of the ravening realities in the current civil society. It is a general problem facing the whole world. However, it is more pronounced in some parts of the world than in others. In African countries, especially in Nigeria, insecurity has been a seemingly insurmountable problem. It has rendered all attempts made by the government and individuals to stabilize the country thereby strengthening the principle of social co-operation, harmony and peaceful coexistence (...)
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  11. What Physicalism Could Be.Michael J. Raven - forthcoming - Analytic Philosophy.
    The physicalist credo is that the world is physical. But some phenomena, such as minds, morals, and mathematics, appear to be nonphysical. While an uncompromising physicalism would reject these, a conciliatory physicalism needn’t if it can account for them in terms of an underlying physical basis. Any such account must refer to the nonphysical. But won’t this unavoidable reference to the nonphysical conflict with the physicalist credo? This essay aims to clarify this problem and introduce a novel solution that relies (...)
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  12. Hempel's Raven paradox: A lacuna in the standard bayesian solution.Peter B. M. Vranas - 2004 - British Journal for the Philosophy of Science 55 (3):545-560.
    According to Hempel's paradox, evidence (E) that an object is a nonblack nonraven confirms the hypothesis (H) that every raven is black. According to the standard Bayesian solution, E does confirm H but only to a minute degree. This solution relies on the almost never explicitly defended assumption that the probability of H should not be affected by evidence that an object is nonblack. I argue that this assumption is implausible, and I propose a way out for Bayesians. Introduction (...)
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  13. On the equivalence of Goodman’s and Hempel’s paradoxes.Kenneth Boyce - 2014 - Studies in History and Philosophy of Science Part A 45:32-42.
    Historically, Nelson Goodman’s paradox involving the predicates ‘grue’ and ‘bleen’ has been taken to furnish a serious blow to Carl Hempel’s theory of confirmation in particular and to purely formal theories of confirmation in general. In this paper, I argue that Goodman’s paradox is no more serious of a threat to Hempel’s theory of confirmation than is Hempel’s own paradox of the ravens. I proceed by developing a suggestion from R. D. Rosenkrantz into an argument for (...)
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  14. The paradox of the question.Ned Markosian - 1997 - Analysis 57 (2):95–97.
    Once upon a time, during a large and international conference of the world's leading philosophers, an angel miraculously appeared and said, "I come to you as a messenger from God. You will be permitted to ask any one question you want - but only one! - and I will answer that question truthfully. What would you like to ask?" The philosophers were understandably excited, and immediately began a discussion of what would be the best question to ask. But it quickly (...)
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  15. Explaining the Paradoxes of Logic – The Nub of the Matter and its Pragmatics.Dieter Wandschneider - 1993 - In PRAGMATIK, Vol. IV. Hamburg:
    [[[ (Here only the chapters 3 – 8, see *** ) First I argue that the prohibition of linguistic self-reference as a solution to the antinomy problem contains a pragmatic contradiction and is thus not only too restrictive, but just inconsistent (chap.1). Furthermore, the possibilities of non-restrictive strategies for antinomy avoidance are discussed, whereby the explicit inclusion of the – pragmatically presuposed – consistency requirement proves to be the optimal strategy (chap.2). ]]] The central question here is that about the (...)
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  16. Paradoxes of the Infinite Rest on Conceptual Confusion.Jeremy Gwiazda - manuscript
    The purpose of this paper is to dissolve paradoxes of the infinite by correctly identifying the infinite natural numbers.
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  17. The Paradox of the Question.Ryan Wasserman & Dennis Whitcomb - 2011 - Philosophical Studies 154 (1):149-159.
    What is the best question to ask an omniscient being? The question is intriguing; is it also paradoxical? We discuss several versions of what Ned Markosian calls the paradox of the question and suggest solutions to each of those puzzles. We then offer some practical advice about what do if you ever have the opportunity to query an omniscient being.
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  18. Operators in the paradox of the knower.Patrick Grim - 1993 - Synthese 94 (3):409 - 428.
    Predicates are term-to-sentence devices, and operators are sentence-to-sentence devices. What Kaplan and Montague's Paradox of the Knower demonstrates is that necessity and other modalities cannot be treated as predicates, consistent with arithmetic; they must be treated as operators instead. Such is the current wisdom.A number of previous pieces have challenged such a view by showing that a predicative treatment of modalities neednot raise the Paradox of the Knower. This paper attempts to challenge the current wisdom in another way (...)
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  19. The paradox of the Bayesian experts.Philippe Mongin - 2001 - In David Corfield & Jon Williamson (eds.), Foundations of Bayesianism. Kluwer Academic Publishers. pp. 309-338.
    This paper (first published under the same title in Journal of Mathematical Economics, 29, 1998, p. 331-361) is a sequel to "Consistent Bayesian Aggregation", Journal of Economic Theory, 66, 1995, p. 313-351, by the same author. Both papers examine mathematically whether the the following assumptions are compatible: the individuals and the group both form their preferences according to Subjective Expected Utility (SEU) theory, and the preferences of the group satisfy the Pareto principle with respect to those of the individuals. While (...)
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  20. The Paradox of the Normativity of Law.René González de la Vega - 2013 - Problema. Anuario de Filosofía y Teoria Del Derecho 7 (7):63-79.
    This paper deals with Veronica Rodriguez-Blanco’s answer to the paradox of the normativity of law: How can autonomous self-legislating persons act, without compromising their autonomy and their will, following legal rules? Regarding Rodriguez-Blanco’s answer, I offer two main critiques. The first one is based on Rodriguez-Blanco’s comments to David Enoch’s paper in which I argue against the idea that a descriptive theoretical account of law can, and should, give an answer to general problems of normativity due to the fact (...)
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  21. The Paradox of the Present.Narve Strand - 2000 - Opuscula 2:39-55.
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  22. On a paradox of the unnew.Terence Rajivan Edward - manuscript
    In this brief paper, I present a paradox of the unnew, derived from nineteenth and early twentieth century fiction, and consider an obvious solution.
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  23. The paradox of the artificial intelligence system development process: the use case of corporate wellness programs using smart wearables.Alessandra Angelucci, Ziyue Li, Niya Stoimenova & Stefano Canali - forthcoming - AI and Society:1-11.
    Artificial intelligence systems have been widely applied to various contexts, including high-stake decision processes in healthcare, banking, and judicial systems. Some developed AI models fail to offer a fair output for specific minority groups, sparking comprehensive discussions about AI fairness. We argue that the development of AI systems is marked by a central paradox: the less participation one stakeholder has within the AI system’s life cycle, the more influence they have over the way the system will function. This means (...)
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  24. The paradox of the Russian character / Парадокс русского характера.Pavel Simashenkov - 2023 - Samara:
    Recently, the problem of national identity has been actualized, but here is a the question: identity to what? Traditions, religion, mentality? Ideals, perhaps? Inspired by the best examples of national historical thought, the author offers an an original approach to deciphering the Russian "cultural code". В последнее время актуализируется проблема национальной идентичности, но вот вопрос: идентичности чему? Традициям, религии, менталитету? Идеалам, может быть? Воодушевленный лучшими образцами отечественной исторической мысли, автор предлагает оригинальный подход к расшифровке русского «культурного кода».
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  25. The Paradox of the End.Iddo Landau - 1995 - Philosophy 70 (274):555 - 565.
    We set ourselves ends and strive to achieve them. We hope that their attainment will improve our condition. The closer we get to our goals, the happier we feel. Paradoxically, however, when we finally do achieve them our joy is sometimes diminished. We have a sense of insignificance and emptiness, and we feel that in attaining our goal we have lost the meaningfulness and balance we experienced while we were striving towards it. In some ways, it seems to us, the (...)
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  26.  80
    An easy one: the paradox of the creative writing department!Terence Rajivan Edward - manuscript
    A department where you study creative writing is a paradox, given the following assumption: creativity is something natural to creative people and they do not need to study it. I try to formulate the paradox more clearly and note a logical gap.
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  27. Formal Methods.Richard Pettigrew - manuscript
    (This is for the Cambridge Handbook of Analytic Philosophy, edited by Marcus Rossberg) In this handbook entry, I survey the different ways in which formal mathematical methods have been applied to philosophical questions throughout the history of analytic philosophy. I consider: formalization in symbolic logic, with examples such as Aquinas’ third way and Anselm’s ontological argument; Bayesian confirmation theory, with examples such as the fine-tuning argument for God and the paradox of the ravens; foundations of mathematics, with examples (...)
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  28. Paradox of the duplication of physical information.Maxim Ryabkov - 2021 - Humanities and Social Sciences Communications 8 (143):1-8.
    A thought experiment demonstrates that physicalism about consciousness entails a para- doxical duplication of physical information. Moreover, objective existence acquires the status of a physical property. To avoid this paradox, one requires a concept of objectivity in which individuation is finite and incomplete. Finite individuation requires objective uncertainty and is thus corroborated by the contemporary sciences. Finite individuation and objective uncer- tainty prevent existence from becoming a physical property, thus defeating physicalism about consciousness and resolving the paradox.
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  29. What Accounts for the Paradox in Goodman's Paradox. The Neglect of the Functional Character of Natural Laws as the Reason for the Paradox.Dieter Wandschneider - 2000 - In Peres, Constanze/ Greimann, Dirk (ed. 2000) Wahrheit – Sein – Struktur. Auseinandersetzungen mit Metaphysik. Hildesheim, Zürich, New York: Olms 2000, 231–245. Hildesheim, Zürich, New York: pp. 231–245.
    Essential for the concept of the law of nature is not only spatio-temporal universality, but also functionality in the sense of the dependency on physical conditions of natural entities. In the following it is explained in detail that just the neglect of this functional property is to be understood as the real reason for the occurrence of the Goodman paradox – with the consequence, that the behavior of things seems to be completely at the mercy of change of unique (...)
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  30. The Paradox of the Benefiting Samaritan.Miles Unterreiner - 2019 - Journal of Practical Ethics 7 (Supplementary):13-33.
    Many persons believe that benefiting from injustice can be morally wrong. Philosophers have developed several compelling theories to justify this intuition. These theories, however, may have a difficult time explaining a particular set of benefit-from-injustice cases: cases in which the beneficiary subjectively opposes the injustice from which she objectively benefits. This paper suggests that our moral duties to disgorge the benefits of injustice may vary in proportion to our subjective intent in acquiring and using those benefits. In doing so, it (...)
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  31. The paradox of beginning: Hegel, Kierkegaard and philosophical inquiry.Daniel Watts - 2007 - Inquiry: An Interdisciplinary Journal of Philosophy 50 (1):5 – 33.
    This paper reconsiders certain of Kierkegaard's criticisms of Hegel's theoretical philosophy in the light of recent interpretations of the latter. The paper seeks to show how these criticisms, far from being merely parochial or rhetorical, turn on central issues concerning the nature of thought and what it is to think. I begin by introducing Hegel's conception of "pure thought" as this is distinguished by his commitment to certain general requirements on a properly philosophical form of inquiry. I then outline Hegel's (...)
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  32. Hempel’s Raven Revisited.Andrew Bollhagen - 2021 - Journal of Philosophy 118 (3):113-137.
    The paper takes a novel approach to a classic problem—Hempel’s Raven Paradox. A standard approach to it supposes the solution to consist in bringing our inductive logic into “reflective equilibrium” with our intuitive judgements about which inductive inferences we should license. This approach leaves the intuitions as a kind of black box and takes it on faith that, whatever the structure of the intuitions inside that box might be, it is one for which we can construct an isomorphic formal (...)
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  33. The paradox of anthropology at home and solutions to it: a handout and review.Terence Rajivan Edward - manuscript
    This is a one page handout reconstructing the paradox and identifying four solutions in the literature, as well as some concerns about them.
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  34. The Paradox of Falsehood and Non-Being.Simone Nota - 2021 - Synthesis 1 (1):7-46.
    How can we think or say what is not? If we equate what-is-not with nothing, then a thought of nothing is no thought at all; if we don’t, we are condemned to admit that what-is-not is, seemingly incurring in self-refutation. In this paper, I address this paradox through the lenses of Parmenides, Plato, Russell, and the early Wittgenstein.
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  35. The paradox of self-blame.Patrick Todd & Brian Rabern - 2022 - American Philosophical Quarterly 59 (2):111–125.
    It is widely accepted that there is what has been called a non-hypocrisy norm on the appropriateness of moral blame; roughly, one has standing to blame only if one is not guilty of the very offence one seeks to criticize. Our acceptance of this norm is embodied in the common retort to criticism, “Who are you to blame me?”. But there is a paradox lurking behind this commonplace norm. If it is always inappropriate for x to blame y for (...)
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  36. Paradox of Stubbornness: The Epistemology of Stereotypes Regarding Women.Sagy Watemberg Izraeli - 2023 - In Synne Myrebøe, Valgerður Pálmadóttir & Johanna Sjöstedt (eds.), Feminist Philosophy: Time, History and the Transformation of Thought. Södertörn University. pp. 211-229.
    The discrepancy between individual women and the stereotypes attributed to the group as a ‎whole has become progressively greater and more explicit over the course of history. The stereotypes remain the same age-old ‎allegations whilst the ‎developments in the occupations of women and the traits they have opportunity to express have increased the distance between women and those ascribed traits. Stereotypes’ abstention from revision in light of contrary evidence constitutes an epistemic paradox for it entails conflict between the stereotypical (...)
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  37. The Paradoxes of Time Travel.David K. Lewis - 1976 - American Philosophical Quarterly 13 (2):145-152.
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  38. The Paradox of Conscientious Objection and the Anemic Concept of 'Conscience': Downplaying the Role of Moral Integrity in Health Care.Alberto Giubilini - 2014 - Kennedy Institute of Ethics Journal 24 (2):159-185.
    Conscientious objection in health care is a form of compromise whereby health care practitioners can refuse to take part in safe, legal, and beneficial medical procedures to which they have a moral opposition (for instance abortion). Arguments in defense of conscientious objection in medicine are usually based on the value of respect for the moral integrity of practitioners. I will show that philosophical arguments in defense of conscientious objection based on respect for such moral integrity are extremely weak and, if (...)
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  39. On the Paradox of the Adder.Ferenc András - 2011 - The Reasoner 5 (3).
    Sometimes it is worth using Tarski’s solution rather than merely mentioning it.
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  40. Paradoxes of Time Travel to the Future.Sara Bernstein - 2022 - In Helen Beebee & A. R. J. Fisher (eds.), Perspectives on the Philosophy of David K. Lewis. Oxford: Oxford University Press.
    This paper brings two fresh perspectives on Lewis’s theory of time travel. First: many key aspects and theoretical desiderata of Lewis’s theory can be captured in a framework that does not commit to eternalism about time. Second: implementing aspects of Lewisian time travel in a non-eternalist framework provides theoretical resources for a better treatment of time travel to the future. While time travel to the past has been extensively analyzed, time travel to the future has been comparatively underexplored. I make (...)
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  41. The paradox of tragedy, or why (almost) all emotions can be enjoyed.Benoit Gaultier & Mathilde Cappelli - forthcoming - American Philosophical Quarterly.
    We regularly intentionally expose ourselves to fictions we take to be likely to elicit in us emotions we generally find unpleasant when prompted by actual states of affairs. This is the so-called “paradox of tragedy”. We contribute to solving the paradox of tragedy by denying that, when fiction-directed, most of these emotions are in themselves unpleasant. We first provide strong evidence that these emotions, such as fear, sadness, or pity, are often enjoyed when fiction-directed. We then advance an (...)
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  42. ‘+1’: Scholem and the Paradoxes of the Infinite.Julia Ng - 2014 - Rivista Italiana di Filosofia del Linguaggio 8 (2):196-210.
    This article draws on several crucial and unpublished manuscripts from the Scholem Archive in exploration of Gershom Scholem's youthful statements on mathematics and its relation to extra-mathematical facts and, more broadly, to a concept of history that would prove to be consequential for Walter Benjamin's own thinking on "messianism" and a "futuristic politics." In context of critiquing the German Youth Movement's subsumption of active life to the nationalistic conditions of the "earth" during the First World War, Scholem turns to mathematics (...)
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  43. The Paradox of Counterfactual Tolerance.Daniel Berntson - manuscript
    Counterfactuals are somewhat tolerant. Had Socrates been at least six feet tall, he need not have been exactly six feet tall. He might have been a little taller—he might have been six one or six two. But while he might have been a little taller, there are limits to how tall he would have been. Had he been at least six feet tall, he would not have been more than a hundred feet tall, for example. Counterfactuals are not just tolerant, (...)
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  44. The Paradox of Phenomenal Judgement and the Case Against Illusionism.Hane Htut Maung - 2023 - Dialogues in Philosophy, Mental and Neuro Sciences 16 (1):1-13.
    Illusionism is the view that conscious experience is some sort of introspective illusion. According to illusionism, there is no conscious experience, but it merely seems like there is conscious experience. This would suggest that much phenomenological enquiry, including work on phenomenological psychopathology, rests on a mistake. Some philosophers have argued that illusionism is obviously false, because seeming is itself an experiential state, and so necessarily presupposes the reality of conscious experience. In response, the illusionist could suggest that the relevant sort (...)
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  45. The paradox of morality: An interview with Emmanuel Levinas.Emmanuel Levinas, Tamra Wright, Peter Hughes & Alison Ainley - 1988 - In Robert Bernasconi & David Wood (eds.), The Provocation of Levinas: Rethinking the Other. Routledge.
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  46. Einstein's Quandary, Socrates' Irony, and Jesus' Laughter: A 'Post-Modern' Meditation on Faith, Reason, Love, and the Paradox of the One and the Many.Richard Oxenberg - manuscript
    The paradox of 'the One and the Many' might, more generally, be understood as the paradox of relationship. In order for there to be relationship there must be at least two parties in relation. The relation must, at once, hold the parties apart (otherwise they would collapse into unity) while holding them together (otherwise relationship itself would cease). It must do so, further, without itself becoming a third party which would then, itself, need to be related. This paper (...)
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  47. The Paradox of Suspense Realism.Christy Mag Uidhir - 2011 - Journal of Aesthetics and Art Criticism 69 (2):161-171.
    Most theories of suspense implicitly or explicitly have as a background assumption what I call suspense realism, i.e., that suspense is itself a genuine, distinct emotion. I claim that for a theory of suspense to entail suspense realism is for that theory to entail a contradiction, and so, we ought instead assume a background of suspense eliminativism, i.e., that there is no such genuine, distinct emotion that is the emotion of suspense. More precisely, I argue that i) any suspense realist (...)
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  48. The Paradox of Consciousness and the Realism/Anti-Realism Debate.Eric Dietrich & Julietta Rose - 2009 - Logos Architekton 3 (1):7-37.
    Beginning with the paradoxes of zombie twins, we present an argument that dualism is both true and false. We show that avoiding this contradiction is impossible. Our diagnosis is that consciousness itself engenders this contradiction by producing contradictory points of view. This result has a large effect on the realism/anti-realism debate, namely, it suggests that this debate is intractable, and furthermore, it explains why this debate is intractable. We close with some comments on what our results mean for metaphysics and (...)
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  49. The Psychological Basis of the Harman-Vogel Paradox.Jennifer Nagel - 2011 - Philosophers' Imprint 11:1-28.
    Harman’s lottery paradox, generalized by Vogel to a number of other cases, involves a curious pattern of intuitive knowledge ascriptions: certain propositions seem easier to know than various higher-probability propositions that are recognized to follow from them. For example, it seems easier to judge that someone knows his car is now on Avenue A, where he parked it an hour ago, than to judge that he knows that it is not the case that his car has been stolen and (...)
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  50. The Paradox of Infinite Given Magnitude: Why Kantian Epistemology Needs Metaphysical Space.Lydia Patton - 2011 - Kant Studien 102 (3):273-289.
    Kant's account of space as an infinite given magnitude in the Critique of Pure Reason is paradoxical, since infinite magnitudes go beyond the limits of possible experience. Michael Friedman's and Charles Parsons's accounts make sense of geometrical construction, but I argue that they do not resolve the paradox. I argue that metaphysical space is based on the ability of the subject to generate distinctly oriented spatial magnitudes of invariant scalar quantity through translation or rotation. The set of determinately oriented, (...)
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