Results for 'paradox'

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  1. Knowledge-of-own-factivity, the definition of surprise, and a solution to the Surprise Examination paradox.Alessandro Aldini, Samuel Allen Alexander & Pierluigi Graziani - 2022 - Cifma.
    Fitch's Paradox and the Paradox of the Knower both make use of the Factivity Principle. The latter also makes use of a second principle, namely the Knowledge-of-Factivity Principle. Both the principle of factivity and the knowledge thereof have been the subject of various discussions, often in conjunction with a third principle known as Closure. In this paper, we examine the well-known Surprise Examination paradox considering both the principles on which this paradox rests and some formal characterisations (...)
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  2. O jeho prekonanie (k tzv. Hermeneutizácii fenomenológie) Jozef piaček, katedra marxisticko-leninskej filozofie, ffuk, bratislava piacek, J.: Husserľs transcendental paradox and his attempt to.Husserlov Transcendentálny Paradox A. Pokus - 1982 - Filozofia 37:56.
     
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  3.  65
    Paradox Regained? A Brief Comment on Maudlin on Black Hole Information Loss.J. B. Manchak & James Owen Weatherall - 2018 - Foundations of Physics 48 (6):611-627.
    We discuss some recent work by Tim Maudlin concerning Black Hole Information Loss. We argue, contra Maudlin, that there is a paradox, in the straightforward sense that there are propositions that appear true, but which are incompatible with one another. We discuss the significance of the paradox and Maudlin's response to it.
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  4. Jaakko Hintikka.Paradoxes Of Confirmation - 1970 - In Carl G. Hempel, Donald Davidson & Nicholas Rescher (eds.), Essays in honor of Carl G. Hempel. Dordrecht,: D. Reidel. pp. 24.
  5. Contemporary views on the neo-bernoullian theory and the.Allais Paradox - 1979 - In Maurice Allais & Ole Hagen (eds.), Expected Utility Hypotheses and the Allais Paradox. D. Reidel. pp. 21--191.
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  6. 'Non-Uniform Convergence'(joint paper with KG Denbigh).Gibbs Paradox - 1989 - Synthese 81:283-313.
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  7. 1. Zeno's Metrical Paradox. The version of Zeno's argument that points to possible trouble in measure theory may be stated as follows: 1. Composition. A line segment is an aggregate of points. 2. Point-length. Each point has length 0. 3. Summation. The sum of a (possibly infinite) collection of 0's is. [REVIEW]Zeno'S. Metrical Paradox Revisited - 1988 - Philosophy of Science 55:58-73.
     
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  8.  9
    Emergency Politics: Paradox, Law, Democracy.Bonnie Honig - 2009 - Princeton University Press.
    This book intervenes in contemporary debates about the threat posed to democratic life by political emergencies. Must emergency necessarily enhance and centralize top-down forms of sovereignty? Those who oppose executive branch enhancement often turn instead to law, insisting on the sovereignty of the rule of law or demanding that law rather than force be used to resolve conflicts with enemies. But are these the only options? Or are there more democratic ways to respond to invocations of emergency politics? Looking at (...)
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  9. The Hardest Paradox for Closure.Martin Smith - 2022 - Erkenntnis 87 (4):2003-2028.
    According to the principle of Conjunction Closure, if one has justification for believing each of a set of propositions, one has justification for believing their conjunction. The lottery and preface paradoxes can both be seen as posing challenges for Closure, but leave open familiar strategies for preserving the principle. While this is all relatively well-trodden ground, a new Closure-challenging paradox has recently emerged, in two somewhat different forms, due to Backes :3773–3787, 2019a) and Praolini :715–726, 2019). This paradox (...)
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  10.  92
    Supervaluationism, Subvaluationism and the Sorites Paradox.Pablo Cobreros & Luca Tranchini - 2019 - In Sergi Oms & Elia Zardini (eds.), The Sorites Paradox. New York, NY: Cambridge University Press. pp. 38-62.
    One way in which we might approach the challenge posed by the Sorites Paradox is considering that Sorites-susceptible predicates have several candidate extensions, or several ways in which these expressions can be made precise. For example, a candidate extension for the predicate ‘is a baby’ is the set of humans of less than two years, but also the set of those less than two years and one second, and of those less than two years and two seconds. In this (...)
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  11.  10
    From the St. Petersburg paradox to the dismal theorem.Susumu Cato - 2020 - Environment and Development Economics 25 (5):423–432.
    This paper aims to consider the meaning of the dismal theorem, as presented by Martin Weitzman [(2009) On modeling and interpreting the economics of catastrophic climate change. Review of Economics and Statistics 91, 1–19]. The theorem states that a standard cost–benefit analysis breaks down if there is a possibility of catastrophes occurring. This result has a significant influence on debates regarding the economics of climate change. In this study, we present an intuitive similarity between the dismal theorem and the St. (...)
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  12. Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
  13.  59
    Groups, sets, and paradox.Eric Snyder & Stewart Shapiro - 2022 - Linguistics and Philosophy 45 (6):1277-1313.
    Perhaps the most pressing challenge for singularism—the predominant view that definite plurals like ‘the students’ singularly refer to a collective entity, such as a mereological sum or set—is that it threatens paradox. Indeed, this serves as a primary motivation for pluralism—the opposing view that definite plurals refer to multiple individuals simultaneously through the primitive relation of plural reference. Groups represent one domain in which this threat is immediate. After all, groups resemble sets in having a kind of membership-relation and (...)
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  14. Rationality'.Lawrence Davis & Paradox Prisoners - 1977 - American Philosophical Quarterly 14.
     
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  15. Semantic dispositionalism and the rule‐following paradox.Elek Lane - 2022 - Metaphilosophy 53 (5):685-695.
    In virtue of what does a sign have meaning? This is the question raised by Wittgenstein's rule-following considerations. Semantic dispositionalism is a (type of) theory that purports to answer this question. The present paper argues that semantic dispositionalism faces a heretofore unnoticed problem, one that ultimately comes down to its reliance on unanalyzed notions of repeated types of signs. In the context of responding to the rule-following paradox—and offering a putative solution to it—this amounts to simply assuming a solution (...)
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  16. The paradox of the preface.David C. Makinson - 1965 - Analysis 25 (6):205-207.
    By means of an example, shows the possibility of beliefs that are separately rational whilst together inconsistent.
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  17. Moore’s Paradox: New Essays on Belief, Rationality, and the First Person.Mitchell S. Green & John N. Williams (eds.) - 2007 - Oxford, England: Oxford University Press.
    G. E. Moore observed that to assert, 'I went to the pictures last Tuesday but I don't believe that I did' would be 'absurd'. Over half a century later, such sayings continue to perplex philosophers. In the definitive treatment of the famous paradox, Green and Williams explain its history and relevance and present new essays by leading thinkers in the area.
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  18.  9
    " To be an object" means" to have properties." Thus, any object has at least one property. A good formalization of this simple conclusion is a thesis of second-order logic:(1) Vx3P (Px) This formalization is based on two assumptions:(a) object variables. [REVIEW]Russell'S. Paradox - 2006 - In J. Jadacki & J. Pasniczek (eds.), The Lvov-Warsaw School: The New Generation. Reidel. pp. 6--129.
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  19. A New Paradox of Omnipotence.Sarah Adams - 2015 - Philosophia 43 (3):759-785.
    In this paper, I argue that the supposition of divine omnipotence entails a contradiction: omnipotence both must and must not be intrinsic to God. Hence, traditional theism must be rejected. To begin, I separate out some theoretical distinctions needed to inform the discussion. I then advance two different arguments for the conclusion that omnipotence must be intrinsic to God; these utilise the notions of essence and aseity. Next, I argue that some necessary conditions on being omnipotent are extrinsic, and that (...)
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  20. The Lottery Paradox Generalized?Jake Chandler - 2010 - British Journal for the Philosophy of Science 61 (3):667-679.
    In a recent article, Douven and Williamson offer both (i) a rebuttal of various recent suggested sufficient conditions for rational acceptability and (ii) an alleged ‘generalization’ of this rebuttal, which, they claim, tells against a much broader class of potential suggestions. However, not only is the result mentioned in (ii) not a generalization of the findings referred to in (i), but in contrast to the latter, it fails to have the probative force advertised. Their paper does however, if unwittingly, bring (...)
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  21. From the Sympathetic Principle to the Nerve Fibres and Back. Revisiting Edmund Burke’s Solutions to the ‘Paradox of Negative Emotions’.Botond Csuka - 2020 - In Piroska Balogh & Gergely Fórizs (eds.), Angewandte anthropologische Ästhetik. Konzepte und Praktiken 1700–1900/ Applied Anthropological Aesthetics. Concepts and Practices 1700–1900. (Bochumer Quellen und Forschungen zum achtzehnten Jahrhundert, 11). Wehrhahn Verlag. pp. 139–173.
    The paper explores Burke’s twofold solution to the paradox of negative emotions. His Philosophical Enquiry (1757/59) employs two models that stand on different anthropological principles: the Exercise Argument borrowed from authors like the Abbé Du Bos, guided by the principle of self-preservation, and the Sympathy Argument, propageted by notable men of lettres such as Lord Kames, ruled by the principle of sociability. Burke interlocks these two arguments through a teleologically-ordered physiology, in which the natural laws of the human body (...)
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  22. Expressivism and Moore's Paradox.Jack Woods - 2014 - Philosophers' Imprint 14:1-12.
    Expressivists explain the expression relation which obtains between sincere moral assertion and the conative or affective attitude thereby expressed by appeal to the relation which obtains between sincere assertion and belief. In fact, they often explicitly take the relation between moral assertion and their favored conative or affective attitude to be exactly the same as the relation between assertion and the belief thereby expressed. If this is correct, then we can use the identity of the expression relation in the two (...)
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  23.  74
    Truth, Pretense and the Liar Paradox.Bradley Armour-Garb & James A. Woodbridge - 2015 - In T. Achourioti, H. Galinon, J. Martínez Fernández & K. Fujimoto (eds.), Unifying the Philosophy of Truth. Dordrecht: Imprint: Springer. pp. 339-354.
    In this paper we explain our pretense account of truth-talk and apply it in a diagnosis and treatment of the Liar Paradox. We begin by assuming that some form of deflationism is the correct approach to the topic of truth. We then briefly motivate the idea that all T-deflationists should endorse a fictionalist view of truth-talk, and, after distinguishing pretense-involving fictionalism (PIF) from error- theoretic fictionalism (ETF), explain the merits of the former over the latter. After presenting the basic (...)
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  24.  54
    What Can't Be Said: Paradox and Contradiction in East Asian Thought.Yasuo Deguchi, Jay L. Garfield, Graham Priest & Robert H. Sharf - 2021 - New York, NY, United States of America: Oxford University Press. Edited by Jay L. Garfield, Graham Priest & Robert H. Sharf.
    "Paradox drives a good deal of philosophy in every tradition. In the Indian and Western traditions, there is a tendency among many philosophers to run from contradiction and paradox. If and when a contradiction appears in a theory, it is regarded as a sure sign that something has gone amiss. This aversion to paradox commits them, knowingly or not, to the view that reality must be consistent. In East Asia, however, philosophers have reacted to paradox differently. (...)
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  25. There is No Paradox of Logical Validity.Roy T. Cook - 2014 - Logica Universalis 8 (3-4):447-467.
    A number of authors have argued that Peano Arithmetic supplemented with a logical validity predicate is inconsistent in much the same manner as is PA supplemented with an unrestricted truth predicate. In this paper I show that, on the contrary, there is no genuine paradox of logical validity—a completely general logical validity predicate can be coherently added to PA, and the resulting system is consistent. In addition, this observation lead to a number of novel, and important, insights into the (...)
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  26. 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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  27. Dualism all the way down: why there is no paradox of phenomenal judgment.Helen Yetter-Chappell - 2022 - Synthese 200 (2):1-24.
    Epiphenomenalist dualists hold that certain physical states give rise to non-physical conscious experiences, but that these non-physical experiences are themselves causally inefficacious. Among the most pressing challenges facing epiphenomenalists is the so-called “paradox of phenomenal judgment”, which challenges epiphenomenalism’s ability to account for our knowledge of our own conscious experiences. According to this objection, we lack knowledge of the very thing that epiphenomenalists take physicalists to be unable to explain. By developing an epiphenomenalist theory of subjects and mental states, (...)
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  28. Paradox and Paraconsistency: Conflict Resolution in the Abstract Sciences.John Woods - 2002 - New York: Cambridge University Press.
    In a world plagued by disagreement and conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible, systems. Do these disagreements admit of resolution? Can such resolution be achieved without disturbing assumptions that the theorems of logic and mathematics state objective truths about the real world? In this original and historically rich book John Woods explores apparently intractable disagreements in logic (...)
     
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  29. Michael Davis.Some Paradoxes ofWhistleblowing 85 - 2003 - In William H. Shaw (ed.), Ethics at work: basic readings in business ethics. New York: Oxford University Press.
     
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  30. Modality and Paradox.Gabriel Uzquiano - 2015 - Philosophy Compass 10 (4):284-300.
    Philosophers often explain what could be the case in terms of what is, in fact, the case at one possible world or another. They may differ in what they take possible worlds to be or in their gloss of what is for something to be the case at a possible world. Still, they stand united by the threat of paradox. A family of paradoxes akin to the set-theoretic antinomies seem to allow one to derive a contradiction from apparently plausible (...)
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  31. Moore's Paradox in Thought: A Critical Survey.John N. Williams - 2015 - Philosophy Compass 10 (1):24-37.
    It is raining but you don’t believe that it is raining. Imagine silently accepting this claim. Then you believe both that it is raining and that you don’t believe that it is raining. This would be an ‘absurd’ thing to believe,yet what you believe might be true. Itmight be raining, while at the same time, you are completely ignorant of the state of the weather. But how can it be absurd of you to believe something about yourself that might be (...)
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  32. Neo-Fregeanism and the Burali-Forti Paradox.Ian Rumfitt - 2018 - In Ivette Fred Rivera & Jessica Leech (eds.), Being Necessary: Themes of Ontology and Modality from the Work of Bob Hale. Oxford, England: Oxford University Press. pp. 188-223.
    Philip Jourdain put this question to Frege in a letter of 28 January 1909. Frege had, indeed, next to nothing to say about ordinals, and in this respect Bob Hale has followed the master. As I hope this chapter will show, though, the topic is worth addressing. The natural abstraction principle for ordinals combines with full, impredicative second-order logic to engender a contradiction, the so-called Burali-Forti Paradox. I shall contend that the best solution involves a retreat to a predicative (...)
     
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  33. Moore's paradox and epistemic norms.Clayton Littlejohn - 2010 - Australasian Journal of Philosophy 88 (1):79 – 100.
    We shall evaluate two strategies for motivating the view that knowledge is the norm of belief. The first draws on observations concerning belief's aim and the parallels between belief and assertion. The second appeals to observations concerning Moore's Paradox. Neither of these strategies gives us good reason to accept the knowledge account. The considerations offered in support of this account motivate only the weaker account on which truth is the fundamental norm of belief.
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  34.  56
    Deflationism and Paradox.Jc Beall & Bradley P. Armour-Garb (eds.) - 2005 - Oxford, England: Oxford University Press.
    Deflationist accounts of truth are widely held in contemporary philosophy: they seek to show that truth is a dispensable concept with no metaphysical depth. However, logical paradoxes present problems for deflationists that their work has struggled to overcome. In this volume of fourteen original essays, a distinguished team of contributors explore the extent to which, if at all, deflationism can accommodate paradox. The volume will be of interest to philosophers of logic, philosophers of language, and anyone working on truth. (...)
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  35.  12
    Anstoss fur eine untypische version Des utilitarismus Fabian Fricke.Parfits Paradox der Blossen Hinzufugung - 2002 - Grazer Philosophische Studien 65 (1):175-207.
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  36.  11
    The effect of unconditional preferences on Sen’s paradox.Keith L. Dougherty & Julian Edward - 2022 - Theory and Decision 93 (3):427-447.
    Sen’s Liberal paradox describes a conflict between weak Pareto, minimal liberalism, and either transitivity or a best element over a domain of individual preferences. This paper examines variants of that paradox with varying amounts of unconditional preferences. We define a notion of unconditional preferences under which, in the absence of Pareto, there can be no cycles. We then define a stronger condition, that makes an individual’s preferences for her own private attributes independent of all other attributes. Under this (...)
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  37. The Calendar Paradox.Sam Shpall - 2016 - Philosophical Studies 173 (3):801-825.
    Presents an analogue of the Preface Paradox for intention, and discusses possible implications for the philosophy of action.
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  38. Procedural Semantics and its Relevance to Paradox.Elbert Booij - forthcoming - Logic and Logical Philosophy:1-24.
    Two semantic paradoxes, the Liar and Curry’s paradox, are analysed using a newly developed conception of procedural semantics (semantics according to which the truth of propositions is determined algorithmically), whose main characteristic is its departure from methodological realism. Rather than determining pre-existing facts, procedures are constitutive of them. Of this semantics, two versions are considered: closed (where the halting of procedures is presumed) and open (without this presumption). To this end, a procedural approach to deductive reasoning is developed, based (...)
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  39. 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 (...)
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  40. Moore's Paradox and Akratic Belief.Eugene Chislenko - 2016 - Philosophy and Phenomenological Research 92 (3):669-690.
    G.E. Moore noticed the oddity of statements like: “It's raining, but I don't believe it.” This oddity is often seen as analogous to the oddity of believing akratically, or believing what one believes one should not believe, and has been appealed to in denying the possibility of akratic belief. I describe a Belief Akratic's Paradox, analogous to Moore's paradox and centered on sentences such as: “I believe it's raining, but I shouldn't believe it.” I then defend the possibility (...)
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  41. The Church–Fitch knowability paradox in the light of structural proof theory.Paolo Maffezioli, Alberto Naibo & Sara Negri - 2012 - Synthese 190 (14):2677-2716.
    Anti-realist epistemic conceptions of truth imply what is called the knowability principle: All truths are possibly known. The principle can be formalized in a bimodal propositional logic, with an alethic modality ${\diamondsuit}$ and an epistemic modality ${\mathcal{K}}$, by the axiom scheme ${A \supset \diamondsuit \mathcal{K} A}$. The use of classical logic and minimal assumptions about the two modalities lead to the paradoxical conclusion that all truths are known, ${A \supset \mathcal{K} A}$. A Gentzen-style reconstruction of the Church–Fitch paradox is (...)
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  42.  67
    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 (...)
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  43. Chisholm's Paradox and Conditional Oughts.Catharine Saint Croix & Richmond Thomason - 2014 - Lecture Notes in Computer Science 8554:192-207.
    Since it was presented in 1963, Chisholm’s paradox has attracted constant attention in the deontic logic literature, but without the emergence of any definitive solution. We claim this is due to its having no single solution. The paradox actually presents many challenges to the formalization of deontic statements, including (1) context sensitivity of unconditional oughts, (2) formalizing conditional oughts, and (3) distinguishing generic from nongeneric oughts. Using the practical interpretation of ‘ought’ as a guideline, we propose a linguistically (...)
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  44.  35
    The Paradox of Faculty Attitudes toward Student Violations of Academic Integrity.Paul Douglas MacLeod & Sarah Elaine Eaton - 2020 - Journal of Academic Ethics 18 (4):347-362.
    This study investigated faculty attitudes towards student violations of academic integrity in Canada using a qualitative review of 17 universities’ academic integrity/dishonesty policies combined with a quantitative survey of faculty members’ (N = 412) attitudes and behaviours around academic integrity and dishonesty. Results showed that 53.1% of survey respondents see academic dishonesty as a worsening problem at their institutions. Generally, they believe their respective institutional policies are sound in principle but fail in application. Two of the major factors identified by (...)
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  45. The two-envelope paradox.Michael Clark & Nicholas Shackel - 2000 - Mind 109 (435):415--442.
    Previous claims to have resolved the two-envelope paradox have been premature. The paradoxical argument has been exposed as manifestly fallacious if there is an upper limit to the amount of money that may be put in an envelope; but the paradoxical cases which can be described if this limitation is removed do not involve mathematical error, nor can they be explained away in terms of the strangeness of infinity. Only by taking account of the partial sums of the infinite (...)
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  46. The paradox of voting and the ethics of political representation.Alexander A. Guerrero - 2010 - Philosophy and Public Affairs 38 (3):272-306.
    This paper connects the question of the rationality of voting to the question of what it is morally permissible for elected representatives to do. In particular, the paper argues that it is rational to vote to increase the strength of the manifest normative mandate of one's favored candidate. I argue that, due to norms of political legitimacy, how representatives ought to act while in office is tied to how much support they have from their constituents, where a representative’s “support” is (...)
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  47. Moore’s Paradox is not just another pragmatic paradox.Timothy Chan - 2010 - Synthese 173 (3):211 - 229.
    One version of Moore’s Paradox is the challenge to account for the absurdity of beliefs purportedly expressed by someone who asserts sentences of the form ‘p & I do not believe that p’. The absurdity of these beliefs is philosophically puzzling, given that Moorean sentences are contingent and often true; and express contents that are unproblematic when presented in the third-person. In this paper I critically examine the most popular proposed solution to these two puzzles, according to which Moorean (...)
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  48. Curry’s Paradox and ω -Inconsistency.Andrew Bacon - 2013 - Studia Logica 101 (1):1-9.
    In recent years there has been a revitalised interest in non-classical solutions to the semantic paradoxes. In this paper I show that a number of logics are susceptible to a strengthened version of Curry's paradox. This can be adapted to provide a proof theoretic analysis of the omega-inconsistency in Lukasiewicz's continuum valued logic, allowing us to better evaluate which logics are suitable for a naïve truth theory. On this basis I identify two natural subsystems of Lukasiewicz logic which individually, (...)
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  49. Meno's Paradox in Context.David Ebrey - 2014 - British Journal for the History of Philosophy 22 (1):4-24.
    I argue that Meno’s Paradox targets the type of knowledge that Socrates has been looking for earlier in the dialogue: knowledge grounded in explanatory definitions. Socrates places strict requirements on definitions and thinks we need these definitions to acquire knowledge. Meno’s challenge uses Socrates’ constraints to argue that we can neither propose definitions nor recognize them. To understand Socrates’ response to the challenge, we need to view Meno’s challenge and Socrates’ response as part of a larger disagreement about the (...)
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  50.  40
    Strong Homomorphisms, Category Theory, and Semantic Paradox.Jonathan Wolfgram & Roy T. Cook - 2022 - Review of Symbolic Logic 15 (4):1070-1093.
    In this essay we introduce a new tool for studying the patterns of sentential reference within the framework introduced in [2] and known as the language of paradox $\mathcal {L}_{\mathsf {P}}$ : strong $\mathcal {L}_{\mathsf {P}}$ -homomorphisms. In particular, we show that (i) strong $\mathcal {L}_{\mathsf {P}}$ -homomorphisms between $\mathcal {L}_{\mathsf {P}}$ constructions preserve paradoxicality, (ii) many (but not all) earlier results regarding the paradoxicality of $\mathcal {L}_{\mathsf {P}}$ constructions can be recast as special cases of our central result (...)
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