Results for 'counterexamples'

976 found
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  1.  17
    224 current periodical articles.Mark Counterexamples - 1996 - Phronesis 41 (2).
  2.  19
    Counterexamples to Symmetry for Partially Overdetermined Elliptic Problems.Ilaria Fragalà, Filippo Gazzola, Jimmy Lamboley & Michel Pierre - 2009 - Analysis: International mathematical journal of Analysis and its Applications 29 (1):85-93.
    We exhibit several counterexamples showing that the famous Serrin's symmetry result for semilinear elliptic overdetermined problems may not hold for partially overdetermined problems, that is when both Dirichlet and Neumann boundary conditions are prescribed only on part of the boundary. Our counterexamples enlighten subsequent positive symmetry results obtained by the first two authors for such partially overdetermined systems and justify their assumptions as well.
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  3. A Counterexample to Modus Tollens.Seth Yalcin - 2012 - Journal of Philosophical Logic 41 (6):1001-1024.
    This paper defends a counterexample to Modus Tollens, and uses it to draw some conclusions about the logic and semantics of indicative conditionals and probability operators in natural language. Along the way we investigate some of the interactions of these expressions with 'knows', and we call into question the thesis that all knowledge ascriptions have truth-conditions.
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  4.  53
    McGee's Counterexample to the Ramsey Test.John Cantwell, Sten Lindström & Wlodek Rabinowicz - 2017 - Theoria 83 (2):154-168.
    Vann McGee has proposed a counterexample to the Ramsey Test. In the counterexample, a seemingly trustworthy source has testified that p and that if not-p, then q. If one subsequently learns not-p, then one has reason to doubt the trustworthiness of the source and so, the argument goes, one has reason to doubt the conditional asserted by the source. Since what one learns is that the antecedent of the conditional holds, these doubts are contrary to the Ramsey Test. We argue (...)
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  5. The Counterexample Method and Armchair Philosophy.Peyman Pourghannad & Davood Hosseini - manuscript
    According to a bedrock assumption in the current methodology of armchair philosophy, we may refute a theory aiming at analyzing a concept by providing a counterexample in which it intuitively seems that a hypothetical or real situation does not fit with what the theory implies. In this paper, we shall argue that this assumption is at most either untenable or otherwise useless in bringing about what is commonly expected from it.
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  6. Counterexamples and Common Sense: When (Not) to Tollens a Ponens.Meg Wallace - 2020 - Analysis 80 (3):544-558.
    Most ordinary folks think that there are ordinary objects such as trees and frogs. They do not think there are extraordinary objects such as the mereological sum of trees and frogs, as the permissivist does. Nor do they deny the existence of ordinary composite objects such as tables, as the eliminativist does. In his recent book, Objects: Nothing Out of the Ordinary, Korman positions himself alongside ordinary folk. He deftly defends the common sense view of ordinary objects, and argues against (...)
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  7.  77
    Counterexample Search in Diagram‐Based Geometric Reasoning.Yacin Hamami, John Mumma & Marie Amalric - 2021 - Cognitive Science 45 (4):e12959.
    Topological relations such as inside, outside, or intersection are ubiquitous to our spatial thinking. Here, we examined how people reason deductively with topological relations between points, lines, and circles in geometric diagrams. We hypothesized in particular that a counterexample search generally underlies this type of reasoning. We first verified that educated adults without specific math training were able to produce correct diagrammatic representations contained in the premisses of an inference. Our first experiment then revealed that subjects who correctly judged an (...)
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  8. Alleged Counterexamples to Uniqueness.Ryan Ross - 2021 - Logos and Episteme 12 (2):203-13.
    Kopec and Titelbaum collect five alleged counterexamples to Uniqueness, the thesis that it is impossible for agents who have the same total evidence to be ideally rational in having different doxastic attitudes toward the same proposition. I argue that four of the alleged counterexamples fail, and that Uniqueness should be slightly modified to accommodate the fifth example.
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  9. Counterexamples and Proexamples.J. Corcoran - 2005 - Bulletin of Symbolic Logic 11:460.
    Corcoran, J. 2005. Counterexamples and proexamples. Bulletin of Symbolic Logic 11(2005) 460. -/- John Corcoran, Counterexamples and Proexamples. Philosophy, University at Buffalo, Buffalo, NY 14260-4150 E-mail: corcoran@buffalo.edu Every perfect number that is not even is a counterexample for the universal proposition that every perfect number is even. Conversely, every counterexample for the proposition “every perfect number is even” is a perfect number that is not even. Every perfect number that is odd is a proexample for the existential proposition (...)
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  10.  75
    Kaplan’s Counterexample to Quine’s Theorem.Paolo Bonardi - 2018 - Grazer Philosophische Studien 95 (2):196-223.
    In his article “Opacity” (1986), David Kaplan propounded a counterexample to the the- sis, defended by Quine and known as Quine’s Theorem, that establishes the illegitimacy of quantifying from outside into a position not open to substitution. He ingeniously built his counterexample using Quine’s own philosophical material and novel devices, arc quotes and $entences. The present article offers detailed analysis and critical discus- sion of Kaplan’s counterexample and proposes a reasonable reformulation of Quine’s Theorem that bypasses both this counterexample and (...)
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  11. A Counterexample to the Uniqueness Thesis.Matthew Kopec - 2015 - Philosophia 43 (2):403-409.
    In this essay, I present a straightforward counterexample to the Uniqueness Thesis, which holds, roughly speaking, that there is a unique rational response to any particular body of evidence.
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  12. (1 other version)Counterexamples to the transitivity of better than.Stuart Rachels - 1998 - Australasian Journal of Philosophy 76 (1):71 – 83.
    Ethicists and economists commonly assume that if A is all things considered better than B, and B is all things considered better than C, then A is all things considered better than C. Call this principle Transitivity. Although it has great conceptual, intuitive, and empirical appeal, I argue against it. Larry S. Temkin explains how three types of ethical principle, which cannot be dismissed a priori, threaten Transitivity: (a) principles implying that in some cases different factors are relevant to comparing (...)
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  13.  44
    Another Counterexample to Markov Causation from Quantum Mechanics: Single Photon Experiments and the Mach-Zehnder Interferometer.Nina Retzlaff - 2017 - Kriterion - Journal of Philosophy 31 (2):17-42.
    The theory of causal Bayes nets [15, 19] is, from an empirical point of view, currently one of the most promising approaches to causation on the market. There are, however, counterexamples to its core axiom, the causal Markov condition. Probably the most serious of these counterexamples are EPR/B experiments in quantum mechanics (cf. [13, 23]). However, these are also the only counterexamples yet known from the quantum realm. One might therefore wonder whether they are the only phenomena (...)
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  14. Conservatism, Counterexamples and Debunking.Daniel Z. Korman - 2020 - Analysis 80 (3):558-574.
    A symposium on my *Objects: Nothing Out of the Ordinary* (2015). In response to Wallace, I attempt to clarify the dialectical and epistemic role that my arguments from counterexamples were meant to play, I provide a limited defense of the comparison to the Gettier examples, and I embrace the comparison to Moorean anti-skeptical arguments. In response to deRosset, I provide a clearer formulation of conservatism, explain how a conservative should think about the interaction between intuition and science, and discuss (...)
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  15.  48
    Counterexamples to Lewis' ‘Causation as Influence’.I. Kvart - 2001 - Australasian Journal of Philosophy 79 (3):411-23.
  16.  71
    Counterexamples in ethics.Steven Sverdlik - 1985 - Metaphilosophy 16 (2‐3):130-145.
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  17. Modified Frankfurt-type counterexamples and flickers of freedom.Michael Robinson - 2012 - Philosophical Studies 157 (2):177-194.
    A great deal of attention has been paid recently to the claim that traditional Frankfurt-type counterexamples to the Principle of Alternative Possibilities (PAP), which depend for their success on the presence of a perfectly reliable indicator (or prior sign ) of what an agent will freely do if left to act on his own, are guilty of begging the question against incompatibilists, since such indicators seem to presuppose a deterministic relation between an agent’s free action and its causal antecedents. (...)
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  18. Rebutting formally valid counterexamples to the Humean “is-ought” dictum.Daniel Guevara - 2008 - Synthese 164 (1):45-60.
    Various formally valid counterexamples have been adduced against the Humean dictum that one cannot derive an “ought” from an “is.” There are formal rebuttals—some very sophisticated now (e.g., Charles R. Pigden’s and Gerhard Schurz’s)—to such counterexamples. But what follows is an intuitive and informal argument against them. I maintain that it is better than these sophisticated formal defenses of the Humean dictum and that it also helps us see why it implausible to think that we can be as (...)
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  19. A New Counterexample to Prioritarianism.Toby Ord - 2015 - Utilitas 27 (3):298-302.
    Prioritarianism is the moral view that a fixed improvement in someone's well-being matters more the worse off they are. Its supporters argue that it best captures our intuitions about unequal distributions of well-being. I show that prioritarianism sometimes recommends acts that will make things more unequal while simultaneously lowering the total well-being and making things worse for everyone ex ante. Intuitively, there is little to recommend such acts and I take this to be a serious counterexample for prioritarianism.
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  20. A counterexample to the Stalnaker-Lewis analysis of counterfactuals.Pavel Tichý - 1976 - Philosophical Studies 29 (4):271 - 273.
  21.  24
    A Counterexample Deity Theory.Walter Schultz - 2017 - Philosophia Christi 19 (1):7-21.
    In his book God and Necessity and in four subsequent papers, Brian Leftow argues against metaphysical theories which hold that “God’s nature makes necessary truths true or gives rise to their truthmakers,” asserting that all such “deity theories commit us to the claim that God’s existence depends on there being truthmakers for particular necessary truths about creatures.” Leftow supports this by arguing that all deity theories entail that if it is untrue that water = H2O, then God does not exist. (...)
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  22.  74
    Frankfurt counterexample defended.E. Di Nucci - 2011 - Analysis 71 (1):102-104.
    Frankfurt sets out to refute the principle according to which ‘a person is morally responsible for what he has done only if he could have done otherwise’ . Frankfurt devises a counterexample in which an agent is intuitively responsible even though she could not have done otherwise: Suppose someone – Black, let us say – wants Jones to perform a certain action. Black is prepared to go to considerable lengths to get his way, but he prefers to avoid showing his (...)
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  23. The Counterexample Fallacy.D. Bonevac, J. Dever & D. Sosa - 2011 - Mind 120 (480):1143-1158.
    Manley and Wasserman (2008) join the chorus of opposition to the possibility of conditional analysis of dispositions. But that score cannot be settled without more careful attention to the implicit philosophical methodology. Some of the opposition to such an analysis badly overestimates the effect of counterexamples, as if the Gettier example were sufficient to refute the possibility of conjunctive analysis of knowledge. A general objection to a form of analysis must satisfy a number of constraints, and Manley and Wasserman (...)
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  24.  74
    A Counterexample to Two Accounts of Harm.Duncan Purves - 2014 - Southwest Philosophy Review 30 (1):243-250.
    Two alternative accounts have emerged as viable competitors to the forerunning counterfactual comparative account in the recent debate concerning the nature of harm. These are the “non-comparative statebased account of harm ” defended by Elizabeth Harman, the “event-based account of harm ” defended by Matthew Hanser. I raise one simple but serious counterexample involving “non-regrettable disabilities” that applies to both of these alternative accounts but that is avoided by the counterfactual comparative account. I point out that my counterexample is one (...)
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  25. Genuine Counterexamples to the Simple Conditional Analysis of Disposition: A Reply to Choi.Jaeho Lee - 2011 - Philosophia 39 (2):327-334.
    Choi (Philosophia, 38(3), 2010) argues that my counterexamples in Lee (Philosophia, 38(3), 2010) to the simple conditional analysis of disposition ascription are bogus counterexamples. In this paper, I argue that Choi’s arguments are not satisfactory and that my examples are genuine counterexamples.
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  26. A counterexample to the contrastive account of knowledge.Jason Rourke - 2013 - Philosophical Studies 162 (3):637-643.
    Many epistemologists treat knowledge as a binary relation that holds between a subject and a proposition. The contrastive account of knowledge developed by Jonathan Schaffer maintains that knowledge is a ternary, contrastive relation that holds between a subject, a proposition, and a set of contextually salient alternative propositions the subject’s evidence must eliminate. For the contrastivist, it is never simply the case that S knows that p; in every case of knowledge S knows that p rather than q. This paper (...)
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  27.  92
    An intervening cause counterexample to Railton's DNP model of explanation.Stuart Gluck & Steven Gimbel - 1997 - Philosophy of Science 64 (4):692-697.
    Peter Railton (1978) has introduced the influential deductive-nomological-probabilistic (DNP) model of explanation which is the culmination of a tradition of formal, non-pragmatic accounts of scientific explanation. The other models in this tradition have been shown to be susceptible to a class of counterexamples involving intervening causes which speak against their sufficiency. This treatment has never been extended to the DNP model; we contend that the usual form of these counterexamples is ineffective in this case. However, we develop below (...)
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  28.  67
    Large cardinals and definable counterexamples to the continuum hypothesis.Matthew Foreman & Menachem Magidor - 1995 - Annals of Pure and Applied Logic 76 (1):47-97.
    In this paper we consider whether L(R) has “enough information” to contain a counterexample to the continuum hypothesis. We believe this question provides deep insight into the difficulties surrounding the continuum hypothesis. We show sufficient conditions for L(R) not to contain such a counterexample. Along the way we establish many results about nonstationary towers, non-reflecting stationary sets, generalizations of proper and semiproper forcing and Chang's conjecture.
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  29. Two New Counterexamples to the Truth-Tracking Theory of Knowledge.Tristan Haze - 2015 - Logos and Episteme 6 (3):309-311.
    I present two counterexamples to the recently back-in-favour truth-tracking account of knowledge: one involving a true belief resting on a counterfactually robust delusion, one involving a true belief acquired alongside a bunch of false beliefs. These counterexamples carry over to a recent modification of the theory due to Briggs and Nolan (2012), and seem invulnerable to a recent defence of the theory against known counterexamples, by Adams and Clarke (2005).
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  30. Counterexamples to Some Characterizations of Dilation.Michael Nielsen & Rush T. Stewart - 2021 - Erkenntnis 86 (5):1107-1118.
    We provide counterexamples to some purported characterizations of dilation due to Pedersen and Wheeler :1305–1342, 2014, ISIPTA ’15: Proceedings of the 9th international symposium on imprecise probability: theories and applications, 2015).
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  31. Frankfurt Counterexamples: Some Comments on the Widerker-Fischer Debate.David P. Hunt - 1996 - Faith and Philosophy 13 (3):395-401.
    One strategy in recent discussions of theological fatalism is to draw on Harry Frankfurt’s famous counterexamples to the principle of alternate possibilities (PAP) to defend human freedom from divine foreknowledge. For those who endorse this line, “Frankfurt counterexamples” are supposed to show that PAP is false, and this conclusion is then extended to the foreknowledge case. This makes it critical to determine whether Frankfurt counterexamples perform as advertised, an issue recently debated in this journal via a pair (...)
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  32.  42
    A Counterexample to Polynomially Bounded Realizability of Basic Arithmetic.Mohammad Ardeshir, Erfan Khaniki & Mohsen Shahriari - 2019 - Notre Dame Journal of Formal Logic 60 (3):481-489.
    We give a counterexample to the claim that every provably total function of Basic Arithmetic is a polynomially bounded primitive recursive function.
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  33. Absolute objects, counterexamples and general covariance.J. Brian Pitts - unknown
    The Anderson-Friedman absolute objects program has been a favorite analysis of the substantive general covariance that supposedly characterizes Einstein's General Theory of Relativity (GTR). Absolute objects are the same locally in all models (modulo gauge freedom). Substantive general covariance is the lack of absolute objects. Several counterexamples have been proposed, however, including the Jones-Geroch dust and Torretti constant curvature spaces counterexamples. The Jones-Geroch dust case, ostensibly a false positive, is resolved by noting that holes in the dust in (...)
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  34. Counterexamples to Nozick’s Account of Transmission of Knowledge via Proof.Adam Thompson - 1986 - Philosophy Research Archives 12:261-265.
    This paper reveals and corrects a flaw in Nozick’s account of knowledge via inference. First, two counterexamples are provided by considering cases which would not typically be regarded as instances of knowledge although they are counted as such by Nozick’s theory. Then the general form of these counterexamples is given. From this it is apparent that the counterexamples show that Nozick’s theory fails to take account of cases in which the subject infers q from p, but in (...)
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  35. A counterexample to six fundamental principles of belief formation.Hans Rott - 2004 - Synthese 139 (2):225 - 240.
    In recent years there has been a growing consensus that ordinary reasoning does not conform to the laws of classical logic, but is rather nonmonotonic in the sense that conclusions previously drawn may well be removed upon acquiring further information. Even so, rational belief formation has up to now been modelled as conforming to some fundamental principles that are classically valid. The counterexample described in this paper suggests that a number of the most cherished of these principles should not be (...)
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  36. A Counterexample to the Breckenridge-Magidor Account of Instantial Reasoning.Tristan Haze - 2016 - Journal of Philosophical Research 41:539-541.
    In a recent paper, Breckenridge and Magidor argue for an interesting and counterintuitive account of instantial reasoning. According to this account, in arguments such as one beginning with 'There is some x such that x is mortal. Let O be such an x. ...', the 'O' refers to a particular object, although we cannot know which. I give and defend a simple counterexample involving the notion of an unreferred-to object.
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  37. A Counterexample to Parfit's Rule Consequentialism.Jacob Nebel - 2012 - Journal of Ethics and Social Philosophy 6 (2):1-10.
    Derek Parfit argues that everyone ought to follow the principles whose universal acceptance would make things go best. I present a counterexample: a world in which no one's moral beliefs have any motivating force. I explain how Parfit's metaethical commitments imply that such a world is possible, and why this possibility is a problem for Parfit's project of reconciling Kantianism, contractualism, and consequentialism. I consider two of Parfit's responses to my counterexample.
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  38.  92
    A counterexample to Tarski-type truth-definitions as applied to natural languages.Jaakko Hintikka - 1975 - Philosophia 5 (3):207-212.
  39.  70
    (1 other version)A counterexample to a conjecture of Scott and Suppes.W. W. Tait - 1959 - Journal of Symbolic Logic 24 (1):15-16.
  40. Five counterexamples to a definition of dirt.Terence Rajivan Edward - 2023 - IOSR Journal Of Humanities And Social Science (IOSR-JHSS) 28 (12):73-74.
    This paper considers five counterexamples to Mary Douglas's definition of dirt, one of which is extracted from a scene from George Eliot's novel Middlemarch and another from Marilyn Strathern's essay on anthropology at home.
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  41. Counterexamples to a likelihood theory of evidence.Malcolm R. Forster - 2006 - Minds and Machines 16 (3):319-338.
    The likelihood theory of evidence (LTE) says, roughly, that all the information relevant to the bearing of data on hypotheses (or models) is contained in the likelihoods. There exist counterexamples in which one can tell which of two hypotheses is true from the full data, but not from the likelihoods alone. These examples suggest that some forms of scientific reasoning, such as the consilience of inductions (Whewell, 1858. In Novum organon renovatum (Part II of the 3rd ed.). The philosophy (...)
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  42. A Counterexample to Plantinga’s Free Will Defense.Alexander R. Pruss - 2012 - Faith and Philosophy 29 (4):400-415.
    Plantinga’s Free Will Defense is an argument that, possibly, God cannot actualize a world containing significant creaturely free will and no wrongdoings. I will argue that if standard Molinism is true, there is a pair of worlds w1 and w2 each of which contains a significantly free creature who never chooses wrongly, and that are such that, necessarily, at least one of these worlds is a world that God can actualize.
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  43. Theological Fatalism and Frankfurt Counterexamples to the Principle of Alternative Possibilities.David Widerker - 2000 - Faith and Philosophy 17 (2):249-254.
    In a recent article, David Hunt has proposed a theological counterexample to the principle of alternative possibilities involving divine foreknowledge (G-scenario). Hunt claims that this example is immune to my criticism of regular Frankfurt-type counterexamples to that principle, as God’s foreknowing an agent’s act does not causally determine that act. Furthermore, he claims that the considerations which support the claim that the agent is morally responsible for his act in a Frankfurt-type scenario also hold in a G-scenario. In reply, (...)
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  44.  33
    Counterexamples to a conjecture on relative categoricity.David M. Evans & P. R. Hewitt - 1990 - Annals of Pure and Applied Logic 46 (2):201-209.
  45.  15
    Frankfurt counterexample defended.Ezio Nucci - 2011 - Analysis 71 (1):102-104.
    Frankfurt sets out to refute the principle according to which ‘a person is morally responsible for what he has done only if he could have done otherwise’. Frankfurt devises a counterexample in which an agent is intuitively responsible even though she could not have done otherwise: Suppose someone – Black, let us say – wants Jones to perform a certain action. Black is prepared to go to considerable lengths to get his way, but he prefers to avoid showing his hand (...)
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  46. A Counterexample t o All Future Dynamic Systems Theories of Cognition.Eric Dietrich - 2000 - J. Of Experimental and Theoretical AI 12 (2):377-382.
    Years ago, when I was an undergraduate math major at the University of Wyoming, I came across an interesting book in our library. It was a book of counterexamples t o propositions in real analysis (the mathematics of the real numbers). Mathematicians work more or less like the rest of us. They consider propositions. If one seems to them to be plausibly true, then they set about to prove it, to establish the proposition as a theorem. Instead o f (...)
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  47. On Some Counterexamples to the Transitivity of Grounding.Jon Erling Litland - 2013 - Essays in Philosophy 14 (1):19-32.
    I discuss three recent counterexamples to the transitivity of grounding due to Jonathan Schaffer. I argue that the counterexamples don’t work and draw some conclusions about the relationship between grounding and explanation.
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  48.  7
    Two Counterexamples to Carey on Misinformation.Timothy Kirschenheiter - 2024 - Social Philosophy Today 40:201-205.
    In this paper, I consider Brandon Carey’s account of misinformation and raise two counterexamples against it. I argue that while Carey’s account is an improvement on prior accounts of misinformation, it still fails. While I am unsure how exactly to rectify this failure, I argue that a correct account of misinformation needs both a tighter connection between misinformation and its negative epistemic impacts and some limiting condition concerning the venue/context in which misinformation is presented.
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  49. A counterexample to modus ponens.Vann McGee - 1985 - Journal of Philosophy 82 (9):462-471.
  50.  25
    Certain counterexamples to the construction of combinatorial designs on infinite sets.William J. Frascella - 1971 - Notre Dame Journal of Formal Logic 12 (4):461-466.
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