Results for 'Plausibility ordering'

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  1.  33
    Plausibility orderings and social choice.Dennis J. Packard - 1981 - Synthese 49 (3):415 - 418.
  2.  20
    Plausibility orderings in dynamic games.Andrés Perea - 2014 - Economics and Philosophy 30 (3):331-364.
  3.  41
    More about plausibility orderings.Ronald A. Heiner & Dennis J. Packard - 1983 - Synthese 55 (3):333 - 337.
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  4. Plausibility Revision in Higher-Order Logic With an Application in Two-Dimensional Semantics.Erich Rast - 2010 - In Arrazola Xabier & Maria Ponte (eds.), LogKCA-10 - Proceedings of the Second ILCLI International Workshop on Logic and Philosophy of Knowledge. ILCLI.
    In this article, a qualitative notion of subjective plausibility and its revision based on a preorder relation are implemented in higher-order logic. This notion of plausibility is used for modeling pragmatic aspects of communication on top of traditional two-dimensional semantic representations.
     
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  5.  22
    Plausible reasoning: a first-order approach.Silvana Badaloni & Alberto Zanardo - 1996 - Journal of Applied Non-Classical Logics 6 (3):215-261.
  6.  8
    Is Higher-Order Misrepresentation Empirically Plausible? An Argument From Corruption.Asger Kirkeby-Hinrup - 2022 - Frontiers in Psychology 13:804896.
    I present an empirically based argument for the plausibility of misrepresentation as posited by some higher-order theories of consciousness. The argument relies on the assumption that conscious states are generated by processes in the brain. The underlying idea is that if the brain generates conscious states then misrepresentation may occur. The reason for this is that brain states can be corrupted and, accordingly, a conscious state that is at least partly caused by a corrupted brain state may be a (...)
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  7.  39
    Should first-order logic be neurally plausible?David S. Touretzky & Scott E. Fahlman - 1993 - Behavioral and Brain Sciences 16 (3):474-475.
  8. The Puzzle of Plausible Deniability.Andrew Peet - forthcoming - Synthese.
    How is it that a speaker S can at once make it obvious to an audience A that she intends to communicate some proposition p, and yet at the same time retain plausible deniability with respect to this intention? The answer is that S can bring it about that A has a high justified credence that ‘S intended p’ without putting A in a position to know that ‘S intended p’. In order to achieve this S has to exploit a (...)
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  9.  31
    Plausibility, necessity and identity: A logic of relative plausibility.L. I. Xiaowu & W. E. N. Xuefeng - 2007 - Frontiers of Philosophy in China 2 (4):629-644.
    We construct a Hilbert style system RPL for the notion of plausibility measure introduced by Halpern J, and we prove the soundness and completeness with respect to a neighborhood style semantics. Using the language of RPL, we demonstrate that it can define well-studied notions of necessity, conditionals and propositional identity.
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  10. Directly Plausible Principles.Howard Nye - 2015 - In Christopher Daly (ed.), Palgrave Handbook on Philosophical Methods. Palgrave Macmillan. pp. 610-636.
    In this chapter I defend a methodological view about how we should conduct substantive ethical inquiries in the fields of normative and practical ethics. I maintain that the direct plausibility and implausibility of general ethical principles – once fully clarified and understood – should be foundational in our substantive ethical reasoning. I argue that, in order to expose our ethical intuitions about particular cases to maximal critical scrutiny, we must determine whether they can be justified by directly plausible principles. (...)
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  11.  4
    Plausible Argument in Everyday Conversation.Douglas N. Walton - 1992 - SUNY Press.
    This book provides a practical and accessible way of evaluating good and bad arguments used in everyday conversations by applying normative models of dialectical (interactive) argumentation, where two parties reason together in an orderly and cooperative way. Using case studies, the author analyzes correct and incorrect uses of argumentation on controversial issues that engage the reader's interest while illustrating points in a practical way. Walton gives clear explanations of the most common errors and tricky deceptions -- traditionally called "fallacies" -- (...)
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  12.  89
    Axiom schemes for m-valued functional calculi of first order: Part I. definition of axiom schemes and proof of plausibility.J. B. Rosser & A. R. Turquette - 1948 - Journal of Symbolic Logic 13 (4):177-192.
  13.  7
    Axiom Schemes for m-Valued Functional Calculi of First Order. Part I. Definition of Axiom Schemes and Proof of Plausibility.J. B. Rosser & A. R. Turquette - 1950 - Journal of Symbolic Logic 14 (4):259-260.
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  14. Higher-Order Defeat and the Impossibility of Self-Misleading Evidence.Mattias Skipper - 2019 - In Mattias Skipper & Asbjørn Steglich-Petersen (eds.), Higher-Order Evidence: New Essays. Oxford, United Kingdom: Oxford University Press.
    Evidentialism is the thesis, roughly, that one’s beliefs should fit one’s evidence. The enkratic principle is the thesis, roughly, that one’s beliefs should "line up" with one’s beliefs about which beliefs one ought to have. While both theses have seemed attractive to many, they jointly entail the controversial thesis that self-misleading evidence is impossible. That is to say, if evidentialism and the enkratic principle are both true, one’s evidence cannot support certain false beliefs about which beliefs one’s evidence supports. Recently, (...)
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  15.  73
    A plausible theory of retribution.Sidney Gendin - 1970 - Journal of Value Inquiry 5 (1):1-16.
    Kant believed all and only the guilty should be punished. Other retributivists believed that only guilt should bring punishment down on a person. In neither way is the retributive theory sufficiently distinguished from utilitarianism for, on contingent grounds, the utilitarian may agree with either of these theses. The advantage of PRJ is that it brings out the difference between retributivism and utilitarianism more sharply while at the same time it manages to be a less stern and unyielding view than traditional (...)
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  16. Higher-Order Sorites Paradox.Elia Zardini - 2013 - Journal of Philosophical Logic 42 (1):25-48.
    The naive theory of vagueness holds that the vagueness of an expression consists in its failure to draw a sharp boundary between positive and negative cases. The naive theory is contrasted with the nowadays dominant approach to vagueness, holding that the vagueness of an expression consists in its presenting borderline cases of application. The two approaches are briefly compared in their respective explanations of a paramount phenomenon of vagueness: our ignorance of any sharp boundary between positive and negative cases. These (...)
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  17. Higher-Order Defeat and Doxastic Resilience.Asbjørn Steglich-Petersen - 2019 - In Mattias Skipper & Asbjørn Steglich-Petersen (eds.), Higher-Order Evidence: New Essays. Oxford, United Kingdom: Oxford University Press.
    It seems obvious that when higher-order evidence makes it rational for one to doubt that one’s own belief on some matter is rational, this can undermine the rationality of that belief. This is known as higher-order defeat. However, despite its intuitive plausibility, it has proved puzzling how higher-order defeat works, exactly. To highlight two prominent sources of puzzlement, higher-order defeat seems to defy being understood in terms of conditionalization; and higher-order defeat can sometimes place agents in what seem like (...)
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  18.  61
    Plausibility in Economics.Bart Nooteboom - 1986 - Economics and Philosophy 2 (2):197.
    According to the instrumentalism of Friedman and Machlup it is irrelevant whether the explanatory principles or “assumptions” of a theory satisfy any criterion of “plausibility,” “realism,” “credibility,” or “soundness.” In this view the main or only criterion for selecting theories is whether a theory yields empirically testable implications that turn out to be consistent with observations. All we should require or expect from a theory is that it is a useful instrument for the purpose of prediction. Considerations of the (...)
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  19. Higher order ignorance inside the margins.Sam Carter - 2019 - Philosophical Studies 176 (7):1789-1806.
    According to the KK-principle, knowledge iterates freely. It has been argued, notably in Greco, that accounts of knowledge which involve essential appeal to normality are particularly conducive to defence of the KK-principle. The present article evaluates the prospects for employing normality in this role. First, it is argued that the defence of the KK-principle depends upon an implausible assumption about the logical principles governing iterated normality claims. Once this assumption is dropped, counter-instances to the principle can be expected to arise. (...)
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  20.  91
    Ordering effects, updating effects, and the specter of global skepticism.Zachary Horne & Jonathan Livengood - 2017 - Synthese 194 (4):1189-1218.
    One widely-endorsed argument in the experimental philosophy literature maintains that intuitive judgments are unreliable because they are influenced by the order in which thought experiments prompting those judgments are presented. Here, we explicitly state this argument from ordering effects and show that any plausible understanding of the argument leads to an untenable conclusion. First, we show that the normative principle is ambiguous. On one reading of the principle, the empirical observation is well-supported, but the normative principle is false. On (...)
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  21. Higher-Order Evidence: New Essays.Mattias Skipper & Asbjørn Steglich-Petersen (eds.) - 2019 - Oxford, United Kingdom: Oxford University Press.
    We often have reason to doubt our own ability to form rational beliefs, or to doubt that some particular belief of ours is rational. Perhaps we learn that a trusted friend disagrees with us about what our shared evidence supports. Or perhaps we learn that our beliefs have been afflicted by motivated reasoning or other cognitive biases. These are examples of higher-order evidence. While it may seem plausible that higher-order evidence should impact our beliefs, it is less clear how and (...)
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  22.  51
    Evidence and plausibility in neighborhood structures.Johan van Benthem, David Fernández-Duque & Eric Pacuit - 2014 - Annals of Pure and Applied Logic 165 (1):106-133.
    The intuitive notion of evidence has both semantic and syntactic features. In this paper, we develop an evidence logic for epistemic agents faced with possibly contradictory evidence from different sources. The logic is based on a neighborhood semantics, where a neighborhood N indicates that the agent has reason to believe that the true state of the world lies in N. Further notions of relative plausibility between worlds and beliefs based on the latter ordering are then defined in terms (...)
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  23. Plausibility, necessity and identity: A logic of relative plausibility[REVIEW]Xiaowu Li & Xuefeng Wen - 2007 - Frontiers of Philosophy in China 2 (4):629-644.
    We construct a Hilbert style system RPL for the notion of plausibility measure introduced by Halpern J, and we prove the soundness and completeness with respect to a neighborhood style semantics. Using the language of RPL, we demonstrate that it can define well-studied notions of necessity, conditionals and propositional identity.
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  24.  12
    J. B. Rosser and A. R. Turquette. Axiom schemes for m-valued functional calculi of first order. Part I. Definition of axiom schemes and proof of plausibility. The journal of symbolic logic, vol. 13 , pp. 177–192. [REVIEW]Burton Spencer Dreben - 1950 - Journal of Symbolic Logic 14 (4):259-260.
  25. Higher-Order Thoughts, Neural Realization, and the Metaphysics of Consciousness.Rocco J. Gennaro - 2016 - In Consciousness: Integrating Eastern and Western Perspectives. New Delhi, India: New Age Publishers. pp. 83-102.
    The higher-order thought (HOT) theory of consciousness is a reductive representational theory of consciousness which says that what makes a mental state conscious is that there is a suitable HOT directed at that mental state. Although it seems that any neural realization of the theory must be somewhat widely distributed in the brain, it remains unclear just how widely distributed it needs to be. In section I, I provide some background and define some key terms. In section II, I argue (...)
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  26.  9
    Order Matters! Influences of Linear Order on Linguistic Category Learning.Dorothée B. Hoppe, Jacolien Rij, Petra Hendriks & Michael Ramscar - 2020 - Cognitive Science 44 (11):e12910.
    Linguistic category learning has been shown to be highly sensitive to linear order, and depending on the task, differentially sensitive to the information provided by preceding category markers (premarkers, e.g., gendered articles) or succeeding category markers (postmarkers, e.g., gendered suffixes). Given that numerous systems for marking grammatical categories exist in natural languages, it follows that a better understanding of these findings can shed light on the factors underlying this diversity. In two discriminative learning simulations and an artificial language learning experiment, (...)
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  27.  9
    Order Matters! Influences of Linear Order on Linguistic Category Learning.Dorothée B. Hoppe, Jacolien van Rij, Petra Hendriks & Michael Ramscar - 2020 - Cognitive Science 44 (11):e12910.
    Linguistic category learning has been shown to be highly sensitive to linear order, and depending on the task, differentially sensitive to the information provided by preceding category markers (premarkers, e.g., gendered articles) or succeeding category markers (postmarkers, e.g., gendered suffixes). Given that numerous systems for marking grammatical categories exist in natural languages, it follows that a better understanding of these findings can shed light on the factors underlying this diversity. In two discriminative learning simulations and an artificial language learning experiment, (...)
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  28.  84
    Ordering Supervaluationism, Counterpart Theory, and Ersatz Fundamentality.Eric Swanson - 2014 - Journal of Philosophy 111 (6):289-310.
    Many philosophical theories make comparisons between objects, events, states of affairs, worlds, or systems, and many such theories deliver plausible verdicts only if some of the elements they compare are ranked as ‘best.’ When the relevant ordering does not have such ‘best’ or ‘tied for best’ elements the theory wrongly falls silent or gives badly counterintuitive results. This paper develops ordering supervaluationism---a very general technique that allows any such theory to handle these problematic cases. Just as ordinary supervaluation (...)
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  29.  47
    A More Plausible Collapsing Principle.Henrik Andersson & Anders Herlitz - 2018 - Theoria 84 (4):325-336.
    In 1997 John Broome presented the Collapsing Argument that was meant to establish that non-conventional comparative relations cannot exist. Broome's argument has faced a lot of scrutiny and a certain type of counterexample has been used to undermine it. Most of the counterexamples focus on the Collapsing Principle which plays a central role in Broome's argument. In this article we will take a closer look at the most common type of counterexample and propose how to adjust the Collapsing Principle in (...)
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  30. Semantic values in higher-order semantics.Stephan Krämer - 2014 - Philosophical Studies 168 (3):709-724.
    Recently, some philosophers have argued that we should take quantification of any order to be a legitimate and irreducible, sui generis kind of quantification. In particular, they hold that a semantic theory for higher-order quantification must itself be couched in higher-order terms. Øystein Linnebo has criticized such views on the grounds that they are committed to general claims about the semantic values of expressions that are by their own lights inexpressible. I show that Linnebo's objection rests on the assumption of (...)
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  31. Rationality & Second‐Order Preferences.Alejandro Pérez Carballo - 2018 - Noûs 52 (1):196-215.
    It seems natural to think of an unwilling addict as having a pattern of preferences that she does not endorse—preferences that, in some sense, she does not ‘identify’ with. Following Frankfurt (1971), Jeffrey (1974) proposed a way of modeling those features of an agent’s preferences by appealing to preferences among preferences.Th„e addict’s preferences are preferences she does not prefer to have. I argue that this modeling suggestion will not do, for it follows from plausible assumptions that a minimally rational agent (...)
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  32. A higher-order approach to disagreement.Mattias Skipper Rasmussen, Asbjørn Steglich-Petersen & Jens Christian Bjerring - 2018 - Episteme 15 (1):80-100.
    While many philosophers have agreed that evidence of disagreement is a kind of higher-order evidence, this has not yet resulted in formally precise higher-order approaches to the problem of disagreement. In this paper, we outline a simple formal framework for determining the epistemic significance of a body of higher-order evidence, and use this framework to motivate a novel interpretation of the popular “equal weight view” of peer disagreement—we call it the Variably Equal Weight View (VEW). We show that VEW differs (...)
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  33. Motivational Internalism and The Second-Order Desire Explanation.Xiao Zhang - 2021 - European Journal of Analytic Philosophy 17 (1):(D2)5-18.
    Both motivational internalism and externalism need to explain why sometimes moral judgments tend to motivate us. In this paper, I argue that Dreier’ second-order desire model cannot be a plausible externalist alternative to explain the connection between moral judgments and motivation. I explain that the relevant second-order desire is merely a constitutive requirement of rationality because that desire makes a set of desires more unified and coherent. As a rational agent with the relevant second-order desire is disposed towards coherence, she (...)
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  34.  30
    Decision Theory, Relative Plausibility and the Criminal Standard of Proof.Alex Biedermann, David Caruso & Kyriakos N. Kotsoglou - 2020 - Criminal Law and Philosophy 15 (2):131-157.
    The evolution of the understanding of evidence-based proof and decision processes in the law, especially criminal law, and standards of proof in this area, has a long-standing and controversial history. Competing accounts cause the legal scholarship to engage in critical and thoughtful exchanges. Some of the divergent views reflect different methodological perspectives similarly recognized in other fields, such as applied psychology and economy, and the broader interdisciplinary research fields of judgment and decision-making, system analysis and decision science. One such methodological (...)
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  35. Bioethics: Between the Plausible and the Thinkable.Françoise Héritier - 1995 - Diogenes 43 (172):1-10.
    This issue of Diogenes is devoted to questions of bioethics. This subject was chosen not because bioethics is fashionable but rather because the purpose of this journal is to explore the timely and timeless questions of our era in order to understand what is at stake and to share this knowledge with our readers.I have chosen to call my piece “Bioethics: Between the Plausible and the Thinkable” to highlight at least three themes that are taken up either directly or indirectly (...)
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  36.  35
    Partial-order Boolean games: informational independence in a logic-based model of strategic interaction.Julian Bradfield, Julian Gutierrez & Michael Wooldridge - 2016 - Synthese 193 (3):781-811.
    As they are conventionally formulated, Boolean games assume that players make their choices in ignorance of the choices being made by other players – they are games of simultaneous moves. For many settings, this is clearly unrealistic. In this paper, we show how Boolean games can be enriched by dependency graphs which explicitly represent the informational dependencies between variables in a game. More precisely, dependency graphs play two roles. First, when we say that variable x depends on variable y, then (...)
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  37.  46
    Higher order thinking.Josef Perner & Zoltan Dienes - 1999 - Behavioral and Brain Sciences 22 (1):164-165.
    O'Brien & Opie's position is consistent with the existence of implicit learning and subliminal perception below a subjective threshold but it is inconsistent with various other findings in the literature. The main problem with the theory is that it attributes consciousness to too many things. Incorporating the higher order thought theory renders their position more plausible.
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  38. Semantics for more plausible deontic logics.Sven Ove Hansson - manuscript
    In order to avoid the paradoxes of standard deontic logic, we have to give up the semantic construction that identifies obligatory status with presence in all elements of a subset of the set of possible worlds. It is proposed that deontic logic should instead be based on a preference relation, according to the principle that whatever is better than something permitted is itself permitted. Close connections hold between the logical properties of a preference relation and those of the deontic logics (...)
     
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  39.  37
    Spontaneous Order and the Rule of Law: Some Problems.D. Neil Maccormick - 1989 - Ratio Juris 2 (1):41-54.
    Two conservative theorists, F. A. Hayek and Michael Oakeshott, have advanced theories of law with important and plausible central theses focusing on the rule of law. The author argues, however, that in each case the theorist ‐ or at least some of his followers on the contemporary British and American political scene ‐ have wrongly inferred strong conclusions from these theories which are inimical to the welfare state. In conclusion, the author points to possible ways of reconciling rule of law (...)
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  40. Somatoparaphrenia, Anosognosia, and Higher-Order Thoughts.Rocco J. Gennaro - 2015 - In Disturbed Consciousness: New Essays on Psychopathology and Theories of Consciousness. MIT Press. pp. 55-74.
    Somatoparaphrenia is a pathology of self characterized by the sense of alienaton from parts of one’s body. It is usually construed as a kind of delusional disorder caused by extensive right hemisphere lesions. Lesions in the temporoparietal junction are common in somatoparaphrenia but deep cortical regions (for example, the posterior insula) and subcortical regions (for example, the basal ganglia) are also sometimes implicated (Valler and Ronschi 2009). Patients are often described as feeling that a limb belongs to another person and (...)
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  41.  32
    Feyerabend’s well-ordered science: how an anarchist distributes funds.Jamie Shaw - 2018 - Synthese 198 (1):419-449.
    To anyone vaguely aware of Feyerabend, the title of this paper would appear as an oxymoron. For Feyerabend, it is often thought, science is an anarchic practice with no discernible structure. Against this trend, I elaborate the groundwork that Feyerabend has provided for the beginnings of an approach to organizing scientific research. Specifically, I argue that Feyerabend’s pluralism, once suitably modified, provides a plausible account of how to organize science. These modifications come from C.S. Peirce’s account of the economics of (...)
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  42. Putting the trolley in order: Experimental philosophy and the loop case.S. Matthew Liao, Alex Wiegmann, Joshua Alexander & Gerard Vong - 2012 - Philosophical Psychology 25 (5):661-671.
    In recent years, a number of philosophers have conducted empirical studies that survey people's intuitions about various subject matters in philosophy. Some have found that intuitions vary accordingly to seemingly irrelevant facts: facts about who is considering the hypothetical case, the presence or absence of certain kinds of content, or the context in which the hypothetical case is being considered. Our research applies this experimental philosophical methodology to Judith Jarvis Thomson's famous Loop Case, which she used to call into question (...)
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  43.  46
    Confirmation theory, order, and periodicity.Peter Achinstein - 1963 - Philosophy of Science 30 (1):17-35.
    This paper examines problems of order and periodicity which arise when the attempt is made to define a confirmation function for a language containing elementary number theory as applied to a universe in which the individuals are considered to be arranged in some fixed order. Certain plausible conditions of adequacy are stated for such a confirmation function. By the construction of certain types of predicates, it is proved, however, that these conditions of adequacy are violated by any confirmation function defined (...)
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  44.  81
    Can higher-order representation theories pass scientific muster?John Beeckmans - 2007 - Journal of Consciousness Studies 14 (9-10):90-111.
    Higher-order representation (HOR) theories posit that the contents of lower-order brain states enter consciousness when tracked by a higher-order brain state. The nature of higher-order monitoring was examined in light of current scientific knowledge, primarily in experimental perceptual psychology. The most plausible candidate for higher-order state was found to be conceptual short-term memory (CSTM), a buffer memory intimately connected with a semantic engine operating in the medium of the language of thought (LOT). This combination meets many of the requirements of (...)
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  45. Drop it like it’s HOT: a vicious regress for higher-order thought theories.Miguel Ángel Sebastián - 2019 - Philosophical Studies 176 (6):1563-1572.
    Higher-order thought theories of consciousness attempt to explain what it takes for a mental state to be conscious, rather than unconscious, by means of a HOT that represents oneself as being in the state in question. Rosenthal Consciousness and the self: new essays, Cambridge University Press, Cambridge, 2011) stresses that the way we are aware of our own conscious states requires essentially indexical self-reference. The challenge for defenders of HOT theories is to show that there is a way to explain (...)
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  46.  44
    Compound Figures: A Multi-Channel View of Communication and Psychological Plausibility.Mihaela Popa-Wyatt - 2022 - Topoi 41 (3):527-538.
    Philosophical views of language have traditionally been focused on notions of truth. This is a reconstructive view in that we try to extract from an utterance in context what the sentence and speaker meaning are. This focus on meaning extraction from word sequences alone, however, is challenged by utterances which combine different types of figures. This paper argues that what appears to be a special case of ironic utterances—ironic metaphorical compounds—sheds light on the requirements for psychological plausibility of a (...)
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  47. How Doxastic Justification Helps Us Solve the Puzzle of Misleading Higher-Order Evidence.Paul Silva - 2016 - Pacific Philosophical Quarterly 98 (S1):308-328.
    Certain plausible evidential requirements and coherence requirements on rationality seem to yield dilemmas of rationality (in a specific, objectionable sense) when put together with the possibility of misleading higher-order evidence. Epistemologists have often taken such dilemmas to be evidence that we’re working with some false principle. In what follows I show how one can jointly endorse an evidential requirement, a coherence requirement, and the possibility of misleading higher-order evidence without running afoul of dilemmas of rationality. The trick lies in observing (...)
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  48. Serious Actualism and Higher-Order Predication.Bruno Jacinto - 2019 - Journal of Philosophical Logic 48 (3):471-499.
    Serious actualism is the prima facie plausible thesis that things couldn’t have been related while being nothing. The thesis plays an important role in a number of arguments in metaphysics, e.g., in Plantinga’s argument for the claim that propositions do not ontologically depend on the things that they are about and in Williamson’s argument for the claim that he, Williamson, is necessarily something. Salmon has put forward that which is, arguably, the most pressing challenge to serious actualists. Salmon’s objection is (...)
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  49.  63
    Semantic Priming on Ordering Tasks.John Beverley & Nate Lauffer - manuscript
    Moeser suggested participants default to linear ordering elements but they can be primed to impose either linear or partial ordering. This study seems problematic insofar as ‘greater than’ might be understood to incline participants to favor linear orderings. Recent follow-up studies strongly suggest participants do not default to linear ordering. It seems plausible, moreover, that the observed priming effect is far more pervasive than Moeser countenanced. The present work explores the extent to which priming for linear or (...)
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  50.  57
    Do we need second-order probabilities?Sven Ove Hansson - 2008 - Dialectica 62 (4):525-533.
    Although it has often been claimed that all the information contained in second-order probabilities can be contained in first-order probabilities, no practical recipe for the elimination of second-order probabilities without loss of information seems to have been presented. Here, such an elimination method is introduced for repeatable events. However, its application comes at the price of losses in cognitive realism. In spite of their technical eliminability, second-order probabilities are useful because they can provide models of important features of the world (...)
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