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Gregory Wheeler
Frankfurt School Of Finance And Management
  1.  89
    Resolving Peer Disagreements Through Imprecise Probabilities.Lee Elkin & Gregory Wheeler - 2018 - Noûs 52 (2):260-278.
    Two compelling principles, the Reasonable Range Principle and the Preservation of Irrelevant Evidence Principle, are necessary conditions that any response to peer disagreements ought to abide by. The Reasonable Range Principle maintains that a resolution to a peer disagreement should not fall outside the range of views expressed by the peers in their dispute, whereas the Preservation of Irrelevant Evidence Principle maintains that a resolution strategy should be able to preserve unanimous judgments of evidential irrelevance among the peers. No standard (...)
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  2. Scoring Imprecise Credences: A Mildly Immodest Proposal.Conor Mayo-Wilson & Gregory Wheeler - 2016 - Philosophy and Phenomenological Research 92 (1):55-78.
    Jim Joyce argues for two amendments to probabilism. The first is the doctrine that credences are rational, or not, in virtue of their accuracy or “closeness to the truth” (1998). The second is a shift from a numerically precise model of belief to an imprecise model represented by a set of probability functions (2010). We argue that both amendments cannot be satisfied simultaneously. To do so, we employ a (slightly-generalized) impossibility theorem of Seidenfeld, Schervish, and Kadane (2012), who show that (...)
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  3. Demystifying Dilation.Arthur Paul Pedersen & Gregory Wheeler - 2014 - Erkenntnis 79 (6):1305-1342.
    Dilation occurs when an interval probability estimate of some event E is properly included in the interval probability estimate of E conditional on every event F of some partition, which means that one’s initial estimate of E becomes less precise no matter how an experiment turns out. Critics maintain that dilation is a pathological feature of imprecise probability models, while others have thought the problem is with Bayesian updating. However, two points are often overlooked: (1) knowing that E is stochastically (...)
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  4.  75
    Probabilistic Logics and Probabilistic Networks.Rolf Haenni, Jan-Willem Romeijn, Gregory Wheeler & Jon Williamson - 2011 - Synthese Library.
    Additionally, the text shows how to develop computationally feasible methods to mesh with this framework.
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  5. Coherence and Confirmation Through Causation.Gregory Wheeler & Richard Scheines - 2013 - Mind 122 (485):135-170.
    Coherentism maintains that coherent beliefs are more likely to be true than incoherent beliefs, and that coherent evidence provides more confirmation of a hypothesis when the evidence is made coherent by the explanation provided by that hypothesis. Although probabilistic models of credence ought to be well-suited to justifying such claims, negative results from Bayesian epistemology have suggested otherwise. In this essay we argue that the connection between coherence and confirmation should be understood as a relation mediated by the causal relationships (...)
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  6.  44
    An Empirical Study of Ethical Predispositions.F. Neil Brady & Gloria E. Wheeler - 1996 - Journal of Business Ethics 15 (9):927-940.
    Using a two-part instrument consisting of eight vignettes and twenty character traits, the study sampled 141 employees of a mid-west financial firm regarding their predispositions to prefer utilitarian or formalist forms of ethical reasoning. In contrast with earlier studies, we found that these respondents did not prefer utilitarian reasoning. Several other hypotheses were tested involving the relationship between people's preferences for certain types of solutions to issues and the forms of reasoning they use to arrive at those solutions; the nature (...)
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  7.  95
    Epistemic Decision Theory's Reckoning.Conor Mayo-Wilson & Gregory Wheeler - manuscript
    Epistemic decision theory (EDT) employs the mathematical tools of rational choice theory to justify epistemic norms, including probabilism, conditionalization, and the Principal Principle, among others. Practitioners of EDT endorse two theses: (1) epistemic value is distinct from subjective preference, and (2) belief and epistemic value can be numerically quantified. We argue the first thesis, which we call epistemic puritanism, undermines the second.
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  8.  87
    Focused Correlation and Confirmation.Gregory Wheeler - 2009 - British Journal for the Philosophy of Science 60 (1):79-100.
    This essay presents results about a deviation from independence measure called focused correlation . This measure explicates the formal relationship between probabilistic dependence of an evidence set and the incremental confirmation of a hypothesis, resolves a basic question underlying Peter Klein and Ted Warfield's ‘truth-conduciveness’ problem for Bayesian coherentism, and provides a qualified rebuttal to Erik Olsson's claim that there is no informative link between correlation and confirmation. The generality of the result is compared to recent programs in Bayesian epistemology (...)
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  9.  26
    Probabilistic Logic and Probabilistic Networks. Haenni, R., Romeijn, J.-W., Wheeler, G. & Williamson, J. - unknown
    While in principle probabilistic logics might be applied to solve a range of problems, in practice they are rarely applied at present. This is perhaps because they seem disparate, complicated, and computationally intractable. However, we shall argue in this programmatic paper that several approaches to probabilistic logic into a simple unifying framework: logically complex evidence can be used to associate probability intervals or probabilities with sentences.
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  10. Focused Correlation, Confirmation, and the Jigsaw Puzzle of Variable Evidence.Maximilian Schlosshauer & Gregory Wheeler - 2011 - Philosophy of Science 78 (3):376-92.
    Focused correlation compares the degree of association within an evidence set to the degree of association in that evidence set given that some hypothesis is true. A difference between the confirmation lent to a hypothesis by one evidence set and the confirmation lent to that hypothesis by another evidence set is robustly tracked by a difference in focused correlations of those evidence sets on that hypothesis, provided that all the individual pieces of evidence are equally, positively relevant to that hypothesis. (...)
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  11.  69
    Explaining the Limits of Olsson's Impossibility Result.Gregory Wheeler - 2012 - Southern Journal of Philosophy 50 (1):136-150.
    In his groundbreaking book, Against Coherence (2005), Erik Olsson presents an ingenious impossibility theorem that appears to show that there is no informative relationship between probabilistic measures of coherence and higher likelihood of truth. Although Olsson's result provides an important insight into probabilistic models of epistemological coherence, the scope of his negative result is more limited than generally appreciated. The key issue is the role conditional independence conditions play within the witness testimony model Olsson uses to establish his result. Olsson (...)
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  12.  98
    Conditionals and Consequences.Gregory Wheeler, Henry E. Kyburg & Choh Man Teng - 2007 - Journal of Applied Logic 5 (4):638-650.
    We examine the notion of conditionals and the role of conditionals in inductive logics and arguments. We identify three mistakes commonly made in the study of, or motivation for, non-classical logics. A nonmonotonic consequence relation based on evidential probability is formulated. With respect to this acceptance relation some rules of inference of System P are unsound, and we propose refinements that hold in our framework.
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  13. Evidential Probability and Objective Bayesian Epistemology.Gregory Wheeler & Jon Williamson - 2011 - In Prasanta S. Bandyopadhyay & Malcolm Forster (eds.), Handbook of the Philosophy of Science, Vol. 7: Philosophy of Statistics. Elsevier.
    In this chapter we draw connections between two seemingly opposing approaches to probability and statistics: evidential probability on the one hand and objective Bayesian epistemology on the other.
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  14.  92
    Causation, Association, and Confirmation.Gregory Wheeler & Richard Scheines - 2010 - In Stephan Hartmann, Marcel Weber, Wenceslao Gonzalez, Dennis Dieks & Thomas Uebe (eds.), Explanation, Prediction, and Confirmation: New Trends and Old Ones Reconsidered. Springer. pp. 37--51.
    Many philosophers of science have argued that a set of evidence that is "coherent" confirms a hypothesis which explains such coherence. In this paper, we examine the relationships between probabilistic models of all three of these concepts: coherence, confirmation, and explanation. For coherence, we consider Shogenji's measure of association (deviation from independence). For confirmation, we consider several measures in the literature, and for explanation, we turn to Causal Bayes Nets and resort to causal structure and its constraint on probability. All (...)
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  15. Is There a Logic of Information?Gregory Wheeler - 2015 - Journal of Theoretical and Applied Artificial Intelligence 27 (1):95-98.
    Information-based epistemology maintains that ‘being informed’ is an independent cognitive state that cannot be reduced to knowledge or to belief, and the modal logic KTB has been proposed as a model. But what distinguishes the KTB analysis of ‘being informed’, the Brouwersche schema (B), is precisely its downfall, for no logic of information should include (B) and, more generally, no epistemic logic should include (B), either.
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  16. Objective Bayesian Calibration and the Problem of Non-Convex Evidence.Gregory Wheeler - 2012 - British Journal for the Philosophy of Science 63 (4):841-850.
    Jon Williamson's Objective Bayesian Epistemology relies upon a calibration norm to constrain credal probability by both quantitative and qualitative evidence. One role of the calibration norm is to ensure that evidence works to constrain a convex set of probability functions. This essay brings into focus a problem for Williamson's theory when qualitative evidence specifies non-convex constraints.
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  17.  76
    NO Revision and NO Contraction.Gregory Wheeler & Marco Alberti - 2011 - Minds and Machines 21 (3):411-430.
    One goal of normative multi-agent system theory is to formulate principles for normative system change that maintain the rule-like structure of norms and preserve links between norms and individual agent obligations. A central question raised by this problem is whether there is a framework for norm change that is at once specific enough to capture this rule-like behavior of norms, yet general enough to support a full battery of norm and obligation change operators. In this paper we propose an answer (...)
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  18.  44
    A Resource-Bounded Default Logic.Gregory Wheeler - 2004 - In J. Delgrande & T. Schaub (eds.), Proceedings of NMR 2004. AAAI.
    This paper presents statistical default logic, an expansion of classical (i.e., Reiter) default logic that allows us to model common inference patterns found in standard inferential statistics, including hypothesis testing and the estimation of a populations mean, variance and proportions. The logic replaces classical defaults with ordered pairs consisting of a Reiter default in the first coordinate and a real number within the unit interval in the second coordinate. This real number represents an upper-bound limit on the probability of accepting (...)
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  19. A Review of the Lottery Paradox.Gregory Wheeler - 2007 - In William Harper & Gregory Wheeler (eds.), Probability and Inference: Essays in Honour of Henry E. Kyburg, Jr.
    Henry Kyburg’s lottery paradox (1961, p. 197) arises from considering a fair 1000 ticket lottery that has exactly one winning ticket. If this much is known about the execution of the lottery it is therefore rational to accept that one ticket will win. Suppose that an event is very likely if the probability of its occurring is greater than 0.99. On these grounds it is presumed rational to accept the proposition that ticket 1 of the lottery will not win. Since (...)
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  20.  68
    Dilation, Disintegrations, and Delayed Decisions.Arthur Paul Pedersen & Gregory Wheeler - 2015 - In Thomas Augistin, Serena Dora, Enrique Miranda & Erik Quaeghebeur (eds.), Proceedings of the 9th International Symposium on Imprecise Probability: Theories and Applications (ISIPTA 2015). Aracne Editrice. pp. 227–236.
    Both dilation and non-conglomerability have been alleged to conflict with a fundamental principle of Bayesian methodology that we call \textit{Good's Principle}: one should always delay making a terminal decision between alternative courses of action if given the opportunity to first learn, at zero cost, the outcome of an experiment relevant to the decision. In particular, both dilation and non-conglomerability have been alleged to permit or even mandate choosing to make a terminal decision in deliberate ignorance of relevant, cost-free information. Although (...)
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  21. Machine Epistemology and Big Data.Gregory Wheeler - 2016 - In Lee McIntyre & Alex Rosenburg (eds.), Routledge Companion to Philosophy of Social Science. Routledge.
    In the age of big data and a machine epistemology that can anticipate, predict, and intervene on events in our lives, the problem once again is that a few individuals possess the knowledge of how to regulate these activities. But the question we face now is not how to share such knowledge more widely, but rather of how to enjoy the public benefits bestowed by this knowledge without freely sharing it. It is not merely personal privacy that is at stake (...)
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  22.  66
    On The Structure of Rational Acceptance: Comments on Hawthorne and Bovens.Gregory R. Wheeler - 2005 - Synthese 144 (2):287-304.
    The structural view of rational acceptance is a commitment to developing a logical calculus to express rationally accepted propositions sufficient to represent valid argument forms constructed from rationally accepted formulas. This essay argues for this project by observing that a satisfactory solution to the lottery paradox and the paradox of the preface calls for a theory that both (i) offers the facilities to represent accepting less than certain propositions within an interpreted artificial language and (ii) provides a logical calculus of (...)
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  23.  45
    Rational Acceptance and Conjunctive/Disjunctive Absorption.Gregory Wheeler - 2006 - Journal of Logic, Language and Information 15 (1-2):49-63.
    A bounded formula is a pair consisting of a propositional formula φ in the first coordinate and a real number within the unit interval in the second coordinate, interpreted to express the lower-bound probability of φ. Converting conjunctive/disjunctive combinations of bounded formulas to a single bounded formula consisting of the conjunction/disjunction of the propositions occurring in the collection along with a newly calculated lower probability is called absorption. This paper introduces two inference rules for effecting conjunctive and disjunctive absorption and (...)
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  24. Probability and Inference: Essays in Honour of Henry E. Kyburg, Jr.William Harper & Gregory Wheeler - 2007 - College Publications.
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  25.  59
    Applied Logic Without Psychologism.Gregory Wheeler - 2008 - Studia Logica 88 (1):137-156.
    Logic is a celebrated representation language because of its formal generality. But there are two senses in which a logic may be considered general, one that concerns a technical ability to discriminate between different types of individuals, and another that concerns constitutive norms for reasoning as such. This essay embraces the former, permutation-invariance conception of logic and rejects the latter, Fregean conception of logic. The question of how to apply logic under this pure invariantist view is addressed, and a methodology (...)
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  26. Why the Hardest Logic Puzzle Ever Cannot Be Solved in Less Than Three Questions.Gregory Wheeler & Pedro Barahona - 2012 - Journal of Philosophical Logic 41 (2):493-503.
    Rabern and Rabern (Analysis 68:105–112 2 ) and Uzquiano (Analysis 70:39–44 4 ) have each presented increasingly harder versions of ‘the hardest logic puzzle ever’ (Boolos The Harvard Review of Philosophy 6:62–65 1 ), and each has provided a two-question solution to his predecessor’s puzzle. But Uzquiano’s puzzle is different from the original and different from Rabern and Rabern’s in at least one important respect: it cannot be solved in less than three questions. In this paper we solve Uzquiano’s puzzle (...)
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  27.  93
    Error Statistics and Duhem's Problem.Gregory R. Wheeler - 2000 - Philosophy of Science 67 (3):410-420.
    No one has a well developed solution to Duhem's problem, the problem of how experimental evidence warrants revision of our theories. Deborah Mayo proposes a solution to Duhem's problem in route to her more ambitious program of providing a philosophical account of inductive inference and experimental knowledge. This paper is a response to Mayo's Error Statistics (ES) program, paying particular attention to her response to Duhem's problem. It turns out that Mayo's purported solution to Duhem's problem is very significant to (...)
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  28.  49
    AGM Belief Revision in Monotone Modal Logics.Gregory Wheeler - 2010 - LPAR 2010 Short Paper Proceedings.
    Classical modal logics, based on the neighborhood semantics of Scott and Montague, provide a generalization of the familiar normal systems based on Kripke semantics. This paper defines AGM revision operators on several first-order monotonic modal correspondents, where each first-order correspondence language is defined by Marc Pauly’s version of the van Benthem characterization theorem for monotone modal logic. A revision problem expressed in a monotone modal system is translated into first-order logic, the revision is performed, and the new belief set is (...)
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  29. Methodological Naturalism and Epistemic Internalism.Gregory Wheeler & Luís Moniz Pereira - 2008 - Synthese 163 (3):315-328.
    Epistemic naturalism holds that the results or methodologies from the cognitive sciences are relevant to epistemology, and some have maintained that scientific methods are more compatible with externalist theories of justification than with internalist theories. But practically all discussions about naturalized epistemology are framed exclusively in terms of cognitive psychology, which is only one of the cognitive sciences. The question addressed in this essay is whether a commitment to naturalism really does favor externalism over internalism, and we offer reasons for (...)
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  30.  77
    Epistemology and Artificial Intelligence.Gregory Wheeler & Luis Moniz Pereira - 2004 - Journal of Applied Logic 2 (4):469-93.
    In this essay we advance the view that analytical epistemology and artificial intelligence are complementary disciplines. Both fields study epistemic relations, but whereas artificial intelligence approaches this subject from the perspective of understanding formal and computational properties of frameworks purporting to model some epistemic relation or other, traditional epistemology approaches the subject from the perspective of understanding the properties of epistemic relations in terms of their conceptual properties. We argue that these two practices should not be conducted in isolation. We (...)
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  31.  91
    Formal Epistemology.Gregory Wheeler - 2011 - In Andrew Cullison (ed.), Contiuum Companion to Epistemology. Contiuum.
    Yet, in broader terms, formal epistemology is not merely a methodological tool for epistemologists, but a discipline in its own right. On this programmatic view, formal epistemology is an interdisciplinary research program that covers work by philosophers, mathematicians, computer scientists, statisticians, psychologists, operations researchers, and economists who aim to give mathematical and sometimes computational representations of, along with sound strategies for reasoning about, knowledge, belief, judgment and decision making.
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  32.  20
    Epistemology and Artificial Intelligence.Gregory R. Wheeler & Luís Moniz Pereira - 2004 - Journal of Applied Logic 2 (4):469-493.
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  33. Two Puzzles Concerning Measures of Uncertainty and the Positive Boolean Connectives.Gregory Wheeler - 2007 - In Progress in Artificial Intelligence (EPIA 2007). Springer.
     
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  34.  19
    Combining Probability and Logic.Fabio Cozman, Rolf Haenni, Jan-Willem Romeijn, Federica Russo, Gregory Wheeler & Jon Williamson - 2009 - Journal of Applied Logic 7 (2):131-135.
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  35.  44
    An Implementation of Statistical Default Logic.Gregory Wheeler & Carlos Damasio - 2004 - In Jose Alferes & Joao Leite (eds.), Logics in Artificial Intelligence (JELIA 2004). Springer.
    Statistical Default Logic (SDL) is an expansion of classical (i.e., Reiter) default logic that allows us to model common inference patterns found in standard inferential statistics, e.g., hypothesis testing and the estimation of a population‘s mean, variance and proportions. This paper presents an embedding of an important subset of SDL theories, called literal statistical default theories, into stable model semantics. The embedding is designed to compute the signature set of literals that uniquely distinguishes each extension on a statistical default theory (...)
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  36.  52
    New Challenges to Philosophy of Science.Hanne Andersen, Dennis Dieks, Wenceslao González, Thomas Uebel & Gregory Wheeler (eds.) - 2013 - Springer Verlag.
    This fourth volume of the Programme “The Philosophy of Science in a European Perspective” deals with new challenges in this field. In this regard, it seeks to broaden the scope of the philosophy of science in two directions. On the one hand, ...
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  37.  25
    Book Review: Change, Choice and Inference: A Study of Belief and Revision and Nonmonotonic Reasoning. [REVIEW]Gregory Wheeler - 2005 - Philosophy of Science 72 (3):498-503.
  38.  78
    Modeling of Phenomena and Dynamic Logic of Phenomena.Boris Kovalerchuk, Leonid Perlovsky & Gregory Wheeler - 2011 - Journal of Applied Non-Classical Logic 22 (1):1-82.
    Modeling a complex phenomena such as the mind presents tremendous computational complexity challenges. Modeling field theory (MFT) addresses these challenges in a non-traditional way. The main idea behind MFT is to match levels of uncertainty of the model (also, a problem or some theory) with levels of uncertainty of the evaluation criterion used to identify that model. When a model becomes more certain, then the evaluation criterion is adjusted dynamically to match that change to the model. This process is called (...)
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  39.  17
    Modelling Phenomena and Dynamic Logic of Phenomena.Boris Kovalerchuk, Leonid Perlovsky & Gregory Wheeler - 2012 - Journal of Applied Non-Classical Logics 22 (1-2):53-82.
    Modelling a complex phenomenon such as the mind presents tremendous computational complexity challenges. Modelling field theory addresses these challenges in a non-traditional way. The main idea behind MFT is to match levels of uncertainty of the model with levels of uncertainty of the evaluation criterion used to identify that model. When a model becomes more certain, then the evaluation criterion is adjusted dynamically to match that change to the model. This process is called the Dynamic Logic of Phenomena for model (...)
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  40. 10. Discussion: Problems for Natural Selection as a Mechanism Discussion: Problems for Natural Selection as a Mechanism (Pp. 512-523). [REVIEW]Marc Lange, Raphael van Riel, Maximilian Schlosshauer, Gregory Wheeler, Zalán Gyenis, Miklós Rédei, John Byron Manchak, James Owen Weatherall, Bruce Glymour & Bradford Skow - 2011 - Philosophy of Science 78 (3).
     
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  41. The Voice of Shame: Silence and Connection in Psychotherapy.Robert G. Lee & Gordon Wheeler (eds.) - 2015 - Gestalt Press.
    Shame and shame reactions are two of the most delicate and difficult issues of psychotherapy and are among the most likely to defy our usual dynamic, systemic, and behavioral theories. In this groundbreaking new collection, _The Voice of Shame_, thirteen distinguished authors show how use of the Gestalt model of self and relationship can clarify the dynamics of shame and lead us to fresh approaches and methods in this challenging terrain. This model shows how shame issues become pivotal in therapeutic (...)
     
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  42.  45
    Dilation and Asymmetric Relevance.Arthur Paul Pedersen & Gregory Wheeler - 2019 - Proceedings in Machine Learning Research, Vol. 103.
    A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.
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  43.  7
    Introduction.Luís Moniz Pereira & Gregory Wheeler - 2007 - Journal of Applied Logic 5 (4):575-576.
  44. Error, Consistency and Triviality.Christine Tiefensee & Gregory Wheeler - forthcoming - Noûs.
    In this paper, we present a new semantic challenge to the moral error theory. Its first component calls upon moral error theorists to deliver a deontic semantics that is consistent with the error-theoretic denial of moral truths by returning the truth-value false to all moral deontic sentences. We call this the ‘consistency challenge’ to the moral error theory. Its second component demands that error theorists explain in which way moral deontic assertions can be seen to differ in meaning despite necessarily (...)
     
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  45.  24
    Announcement.Gregory Wheeler - 2014 - Minds and Machines 24 (4):477-477.
  46.  4
    Catholics and the Universities.Gordon Wheeler - 1964 - New Blackfriars 46 (533):78-81.
  47.  1
    Correction To: The Tokyo Medical University Entrance Exam Scandal: Lessons Learned.Greg Wheeler - 2019 - International Journal for Educational Integrity 15 (1).
    Following publication of the original article [1], the author attempted to provide an overview of a scandal occurring at a Japanese university over its practice of lowering the scores of female applicants and offered possible suggestions as to how to prevent this from reoccurring.
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  48.  61
    Defeat Reconsidered and Repaired.Gregory Wheeler - 2014 - The Reasoner 8 (2):15-15.
  49.  46
    Erratum To: Introduction.Gregory Wheeler - 2012 - Synthese 187 (2):815-815.
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  50. Gestalt Reconsidered: A New Approach to Contact and Resistance.Gordon Wheeler - 1996 - Gestalt Press.
    In this original and penetrating work, the origins of the Gestalt psychotherapy model are traced back to its roots in psychoanalysis and Gestalt cognitive and perceptual psychology. Drawing new implications for both Gestalt and psychotherapy in general from these origins - and with special emphasis on the neglected work of Lewis and Goldstein - Wheeler develops a revised model that is more fully "Gestalt" and at the same time more firmly grounded in the spectrum of tools and approaches available to (...)
     
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