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  1. Critique of pure Bayesian cognitive science: A view from the philosophy of science.Vincenzo Crupi & Fabrizio Calzavarini - 2023 - European Journal for Philosophy of Science 13 (3):1-17.
    Bayesian approaches to human cognition have been extensively advocated in the last decades, but sharp objections have been raised too within cognitive science. In this paper, we outline a diagnosis of what has gone wrong with the prevalent strand of Bayesian cognitive science (here labelled pure Bayesian cognitive science), relying on selected illustrations from the psychology of reasoning and tools from the philosophy of science. Bayesians’ reliance on so-called method of rational analysis is a key point of our discussion. We (...)
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  • Towards a Cognitive Theory of Cyber Deception.Edward A. Cranford, Cleotilde Gonzalez, Palvi Aggarwal, Milind Tambe, Sarah Cooney & Christian Lebiere - 2021 - Cognitive Science 45 (7):e13013.
    This work is an initial step toward developing a cognitive theory of cyber deception. While widely studied, the psychology of deception has largely focused on physical cues of deception. Given that present‐day communication among humans is largely electronic, we focus on the cyber domain where physical cues are unavailable and for which there is less psychological research. To improve cyber defense, researchers have used signaling theory to extended algorithms developed for the optimal allocation of limited defense resources by using deceptive (...)
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  • The Bi-directional Relationship between Source Characteristics and Message Content.Peter J. Collins, Ulrike Hahn, Ylva von Gerber & Erik J. Olsson - 2015 - Frontiers in Psychology 9.
    Much of what we believe we know, we know through the testimony of others. While there has been long-standing evidence that people are sensitive to the characteristics of the sources of testimony, for example in the context of persuasion, researchers have only recently begun to explore the wider implications of source reliability considerations for the nature of our beliefs. Likewise, much remains to be established concerning what factors influence source reliability. In this paper, we examine, both theoretically and empirically, the (...)
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  • The imaginary fundamentalists: The unshocking truth about Bayesian cognitive science.Nick Chater, Noah Goodman, Thomas L. Griffiths, Charles Kemp, Mike Oaksford & Joshua B. Tenenbaum - 2011 - Behavioral and Brain Sciences 34 (4):194-196.
    If Bayesian Fundamentalism existed, Jones & Love's (J&L's) arguments would provide a necessary corrective. But it does not. Bayesian cognitive science is deeply concerned with characterizing algorithms and representations, and, ultimately, implementations in neural circuits; it pays close attention to environmental structure and the constraints of behavioral data, when available; and it rigorously compares multiple models, both within and across papers. J&L's recommendation of Bayesian Enlightenment corresponds to past, present, and, we hope, future practice in Bayesian cognitive science.
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  • Is There a Geography of Thought for East‐West Differences? Why or why not?Ho Mun Chan & Hektor K. T. Yan - 2007 - Educational Philosophy and Theory 39 (4):383–403.
    Richard Nisbett's The Geography of Thought is one of several recent works that have highlighted purported differences in thinking patterns between East Asians and Westerners on the basis of empirical research. This has implications for teaching and for other issues such as cultural integration. Based on a framework consisting of three distinct notions of rationality, this paper argues that some of the differences alleged by Nisbett are either not real or exaggerated, and that his geography of thought fails to provide (...)
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  • Cognitive Science as an Interface Between Rational and Mechanistic Explanation.Nick Chater - 2014 - Topics in Cognitive Science 6 (2):331-337.
    Cognitive science views thought as computation; and computation, by its very nature, can be understood in both rational and mechanistic terms. In rational terms, a computation solves some information processing problem (e.g., mapping sensory information into a description of the external world; parsing a sentence; selecting among a set of possible actions). In mechanistic terms, a computation corresponds to causal chain of events in a physical device (in engineering context, a silicon chip; in biological context, the nervous system). The discipline (...)
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  • Signalling games, sociolinguistic variation and the construction of style.Heather Burnett - 2019 - Linguistics and Philosophy 42 (5):419-450.
    This paper develops a formal model of the subtle meaning differences that exist between grammatical alternatives in socially conditioned variation and how these variants can be used by speakers as resources for constructing personal linguistic styles. More specifically, this paper introduces a new formal system, called social meaning games, which allows for the unification of variationist sociolinguistics and game-theoretic pragmatics, two fields that have had very little interaction in the past. Although remarks have been made concerning the possible usefulness of (...)
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  • Identifying the optimal response is not a necessary step toward explaining function.Henry Brighton & Henrik Olsson - 2009 - Behavioral and Brain Sciences 32 (1):85-86.
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  • The “evolutionary argument” and the metaphilosophy of commonsense.Stephen J. Boulter - 2007 - Biology and Philosophy 22 (3):369-382.
    Recently in these pages it has been argued that a relatively straightforward version of an old argument based on evolutionary biology and psychology can be employed to support the view that innate ideas are a naturalistic source of metaphysical knowledge. While sympathetic to the view that the “evolutionary argument” is pregnant with philosophical implications, I show in this paper how it needs to be developed and deployed in order to avoid serious philosophical difficulties and unnecessary complications. I sketch a revised (...)
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  • Cognitive models of optimal sequential search with recall.Sudeep Bhatia, Lisheng He, Wenjia Joyce Zhao & Pantelis P. Analytis - 2021 - Cognition 210 (C):104595.
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  • Wittgenstein on Incompleteness Makes Paraconsistent Sense.Francesco Berto - 2008 - In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer. pp. 257--276.
    I provide an interpretation of Wittgenstein's much criticized remarks on Gödel's First Incompleteness Theorem in the light of paraconsistent arithmetics: in taking Gödel's proof as a paradoxical derivation, Wittgenstein was right, given his deliberate rejection of the standard distinction between theory and metatheory. The reasoning behind the proof of the truth of the Gödel sentence is then performed within the formal system itself, which turns out to be inconsistent. I show that the models of paraconsistent arithmetics (obtained via the Meyer-Mortensen (...)
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  • Scheme-based alethic realism: Agency, the environment, and truthmaking.Murat Baç & Renée Elio - 2004 - Minds and Machines 14 (2):173-196.
    This paper presents a position called Scheme-based Alethic Realism, which reconciles a realist position on the nature of truth with a pluralistic Kantian perspective that allows for multiple environments in which truthmaking relationships are established. We argue that truthmaking functions are constrained by a stable phenomenal world and a stable cognitive architecture. This account takes truth as normatively distinct from epistemic justification while relativizing the truth conditions of our statements to what we call Frameworks. The pluralistic aspect allows that these (...)
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  • Make‐or‐Break: Chasing Risky Goals or Settling for Safe Rewards?Pantelis P. Analytis, Charley M. Wu & Alexandros Gelastopoulos - 2019 - Cognitive Science 43 (7):e12743.
    Humans regularly pursue activities characterized by dramatic success or failure outcomes where, critically, the chances of success depend on the time invested working toward it. How should people allocate time between such make‐or‐break challenges and safe alternatives, where rewards are more predictable (e.g., linear) functions of performance? We present a formal framework for studying time allocation between these two types of activities, and we explore optimal behavior in both one‐shot and dynamic versions of the problem. In the one‐shot version, we (...)
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  • Subtracting “ought” from “is”: Descriptivism versus normativism in the study of human thinking.Shira Elqayam & Jonathan St B. T. Evans - 2011 - Behavioral and Brain Sciences 34 (5):233-248.
    We propose a critique ofnormativism, defined as the idea that human thinking reflects a normative system against which it should be measured and judged. We analyze the methodological problems associated with normativism, proposing that it invites the controversial “is-ought” inference, much contested in the philosophical literature. This problem is triggered when there are competing normative accounts (the arbitration problem), as empirical evidence can help arbitrate between descriptive theories, but not between normative systems. Drawing on linguistics as a model, we propose (...)
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  • Rational analysis, intractability, and the prospects of ‘as if’-explanations.Iris van Rooij, Johan Kwisthout, Todd Wareham & Cory Wright - 2018 - Synthese 195 (2):491-510.
    Despite their success in describing and predicting cognitive behavior, the plausibility of so-called ‘rational explanations’ is often contested on the grounds of computational intractability. Several cognitive scientists have argued that such intractability is an orthogonal pseudoproblem, however, since rational explanations account for the ‘why’ of cognition but are agnostic about the ‘how’. Their central premise is that humans do not actually perform the rational calculations posited by their models, but only act as if they do. Whether or not the problem (...)
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  • The Role of Naturalness in Concept Learning: A Computational Study.Igor Douven - 2023 - Minds and Machines 33 (4):695-714.
    This paper studies the learnability of natural concepts in the context of the conceptual spaces framework. Previous work proposed that natural concepts are represented by the cells of optimally partitioned similarity spaces, where optimality was defined in terms of a number of constraints. Among these is the constraint that optimally partitioned similarity spaces result in easily learnable concepts. While there is evidence that systems of concepts generally regarded as natural satisfy a number of the proposed optimality constraints, the connection between (...)
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  • Computational Cognitive Neuroscience.Carlos Zednik - 2018 - In Mark Sprevak & Matteo Colombo (eds.), The Routledge Handbook of the Computational Mind. Routledge.
    This chapter provides an overview of the basic research strategies and analytic techniques deployed in computational cognitive neuroscience. On the one hand, “top-down” strategies are used to infer, from formal characterizations of behavior and cognition, the computational properties of underlying neural mechanisms. On the other hand, “bottom-up” research strategies are used to identify neural mechanisms and to reconstruct their computational capacities. Both of these strategies rely on experimental techniques familiar from other branches of neuroscience, including functional magnetic resonance imaging, single-cell (...)
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  • Literal Perceptual Inference.Alex Kiefer - 2017 - In Metzinger Thomas & Wiese Wanja (eds.), Philosophy and Predictive Processing. MIND Group.
    In this paper, I argue that theories of perception that appeal to Helmholtz’s idea of unconscious inference (“Helmholtzian” theories) should be taken literally, i.e. that the inferences appealed to in such theories are inferences in the full sense of the term, as employed elsewhere in philosophy and in ordinary discourse. -/- In the course of the argument, I consider constraints on inference based on the idea that inference is a deliberate acton, and on the idea that inferences depend on the (...)
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  • Mechanisms in Cognitive Science.Carlos Zednik - 2017 - In Stuart Glennan & Phyllis McKay Illari (eds.), The Routledge Handbook of Mechanisms and Mechanical Philosophy. Routledge. pp. 389-400.
    This chapter subsumes David Marr’s levels of analysis account of explanation in cognitive science under the framework of mechanistic explanation: Answering the questions that define each one of Marr’s three levels is tantamount to describing the component parts and operations of mechanisms, as well as their organization, behavior, and environmental context. By explicating these questions and showing how they are answered in several different cognitive science research programs, this chapter resolves some of the ambiguities that remain in Marr’s account, and (...)
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  • The Rediscovery of Common Sense Philosophy.Stephen Boulter - 2007 - Basingstoke, England: Palgrave-Macmillan.
    This book is a defence of the philosophy of common sense in the spirit of Thomas Reid and G.E. Moore, drawing on the work of Aristotle, evolutionary biology and psychology, and historical studies on the origins of early modern philosophy. It defines and explores common sense beliefs, and defends them from challenges from prominent philosophers.
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  • Bayesian reverse-engineering considered as a research strategy for cognitive science.Carlos Zednik & Frank Jäkel - 2016 - Synthese 193 (12):3951-3985.
    Bayesian reverse-engineering is a research strategy for developing three-level explanations of behavior and cognition. Starting from a computational-level analysis of behavior and cognition as optimal probabilistic inference, Bayesian reverse-engineers apply numerous tweaks and heuristics to formulate testable hypotheses at the algorithmic and implementational levels. In so doing, they exploit recent technological advances in Bayesian artificial intelligence, machine learning, and statistics, but also consider established principles from cognitive psychology and neuroscience. Although these tweaks and heuristics are highly pragmatic in character and (...)
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  • Domain-specific rationality in human choices: violations of utility axioms and social contexts.X. T. Wang - 1996 - Cognition 60 (1):31-63.
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  • Mechanisms for Robust Cognition.Matthew M. Walsh & Kevin A. Gluck - 2015 - Cognitive Science 39 (6):1131-1171.
    To function well in an unpredictable environment using unreliable components, a system must have a high degree of robustness. Robustness is fundamental to biological systems and is an objective in the design of engineered systems such as airplane engines and buildings. Cognitive systems, like biological and engineered systems, exist within variable environments. This raises the question, how do cognitive systems achieve similarly high degrees of robustness? The aim of this study was to identify a set of mechanisms that enhance robustness (...)
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  • Bayes et les biais. Le « biais de confirmation » en question.Marion Vorms - 2021 - Revue de Métaphysique et de Morale 112 (4):567-590.
    On appelle « biais de confirmation » la tendance supposée des humains à sélectionner les informations qui vont dans le sens de ce qu’ils croient (ou veulent croire) et à interpréter celles dont ils disposent en faveur de leurs hypothèses favorites. Cet article vise à porter un regard critique sur certains usages de cette notion, et plus généralement sur le recours aux « biais cognitifs » pour expliquer tout un ensemble de phénomènes sociaux interprétés comme les marques d’une forme d’irrationalité. (...)
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  • Rational Redundancy in Referring Expressions: Evidence from Event‐related Potentials.Elli N. Tourtouri, Francesca Delogu & Matthew W. Crocker - 2021 - Cognitive Science 45 (12):e13071.
    In referential communication, Grice's Maxim of Quantity is thought to imply that utterances conveying unnecessary information should incur comprehension difficulties. There is, however, considerable evidence that speakers frequently encode redundant information in their referring expressions, raising the question as to whether such overspecifications hinder listeners’ processing. Evidence from previous work is inconclusive, and mostly comes from offline studies. In this article, we present two event‐related potential (ERP) experiments, investigating the real‐time comprehension of referring expressions that contain redundant adjectives in complex (...)
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  • The dynamics of development: Challenges for bayesian rationality.Nils Straubinger, Edward T. Cokely & Jeffrey R. Stevens - 2009 - Behavioral and Brain Sciences 32 (1):103-104.
    Oaksford & Chater (O&C) focus on patterns of typical adult reasoning from a probabilistic perspective. We discuss implications of extending the probabilistic approach to lifespan development, considering the role of working memory, strategy use, and expertise. Explaining variations in human reasoning poses a challenge to Bayesian rational analysis, as it requires integrating knowledge about cognitive processes.
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  • Norm Conflicts and Conditionals.Niels Skovgaard-Olsen, David Kellen, Ulrike Hahn & Karl Christoph Klauer - 2019 - Psychological Review 126 (5):611-633.
    Suppose that two competing norms, N1 and N2, can be identified such that a given person’s response can be interpreted as correct according to N1 but incorrect according to N2. Which of these two norms, if any, should one use to interpret such a response? In this paper we seek to address this fundamental problem by studying individual variation in the interpretation of conditionals by establishing individual profiles of the participants based on their case judgments and reflective attitudes. To investigate (...)
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  • Interrogating Feature Learning Models to Discover Insights Into the Development of Human Expertise in a Real‐Time, Dynamic Decision‐Making Task.Catherine Sibert, Wayne D. Gray & John K. Lindstedt - 2016 - Topics in Cognitive Science 8 (4).
    Tetris provides a difficult, dynamic task environment within which some people are novices and others, after years of work and practice, become extreme experts. Here we study two core skills; namely, choosing the goal or objective function that will maximize performance and a feature-based analysis of the current game board to determine where to place the currently falling zoid so as to maximize the goal. In Study 1, we build cross-entropy reinforcement learning models to determine whether different goals result in (...)
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  • Interrogating Feature Learning Models to Discover Insights Into the Development of Human Expertise in a Real‐Time, Dynamic Decision‐Making Task.Catherine Sibert, Wayne D. Gray & John K. Lindstedt - 2017 - Topics in Cognitive Science 9 (2):374-394.
    Tetris provides a difficult, dynamic task environment within which some people are novices and others, after years of work and practice, become extreme experts. Here we study two core skills; namely, choosing the goal or objective function that will maximize performance and a feature-based analysis of the current game board to determine where to place the currently falling zoid so as to maximize the goal. In Study 1, we build cross-entropy reinforcement learning models to determine whether different goals result in (...)
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  • Cognitive Success: A Consequentialist Account of Rationality in Cognition.Gerhard Schurz & Ralph Hertwig - 2019 - Topics in Cognitive Science 11 (1):7-36.
    One of the most discussed issues in psychology—presently and in the past—is how to define and measure the extent to which human cognition is rational. The rationality of human cognition is often evaluated in terms of normative standards based on a priori intuitions. Yet this approach has been challenged by two recent developments in psychology that we review in this article: ecological rationality and descriptivism. Going beyond these contributions, we consider it a good moment for psychologists and philosophers to join (...)
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  • On computational explanations.Anna-Mari Rusanen & Otto Lappi - 2016 - Synthese 193 (12):3931-3949.
    Computational explanations focus on information processing required in specific cognitive capacities, such as perception, reasoning or decision-making. These explanations specify the nature of the information processing task, what information needs to be represented, and why it should be operated on in a particular manner. In this article, the focus is on three questions concerning the nature of computational explanations: What type of explanations they are, in what sense computational explanations are explanatory and to what extent they involve a special, “independent” (...)
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  • Expanding and Repositioning Cognitive Science.Paul S. Rosenbloom & Kenneth D. Forbus - 2019 - Topics in Cognitive Science 11 (4):918-927.
    Cognitive science has converged in many ways with cognitive psychology, but while also maintaining a distinctive interdisciplinary nature. Here we further characterize this existing state of the field before proposing how it might be reconceptualized toward a broader and more distinct, and thus more stable, position in the realm of sciences.
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  • Rationality, biology and optimality.Carolyn Price - 2002 - Biology and Philosophy 17 (5):613-634.
    A historical theory of rational norms claims that, if we are supposed to think rationally, this is because it is biologically normal for us to do so. The historical theorist is committed to the view that we are supposed to think rationally only if, in the past, adult humans sometimes thought rationally. I consider whether there is any plausible model of rational norms that can be adopted by the historical theorist that is compatible with the claim that adult human beings (...)
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  • Rethinking Rationality.Emmanuel M. Pothos & Timothy J. Pleskac - 2022 - Topics in Cognitive Science 14 (3):451-466.
    Topics in Cognitive Science, Volume 14, Issue 3, Page 451-466, July 2022.
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  • Is Logic all in our Heads? From Naturalism to Psychologism.Francis J. Pelletier, Renée Elio & Philip Hanson - 2008 - Studia Logica 88 (1):3-66.
    Psychologism in logic is the doctrine that the semantic content of logical terms is in some way a feature of human psychology. We consider the historically influential version of the doctrine, Psychological Individualism, and the many counter-arguments to it. We then propose and assess various modifications to the doctrine that might allow it to avoid the classical objections. We call these Psychological Descriptivism, Teleological Cognitive Architecture, and Ideal Cognizers. These characterizations give some order to the wide range of modern views (...)
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  • The probabilistic approach to human reasoning.Mike Oaksford & Nick Chater - 2001 - Trends in Cognitive Sciences 5 (8):349-357.
    A recent development in the cognitive science of reasoning has been the emergence of a probabilistic approach to the behaviour observed on ostensibly logical tasks. According to this approach the errors and biases documented on these tasks occur because people import their everyday uncertain reasoning strategies into the laboratory. Consequently participants' apparently irrational behaviour is the result of comparing it with an inappropriate logical standard. In this article, we contrast the probabilistic approach with other approaches to explaining rationality, and then (...)
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  • The uncertain reasoner: Bayes, logic, and rationality.Mike Oaksford & Nick Chater - 2009 - Behavioral and Brain Sciences 32 (1):105-120.
    Human cognition requires coping with a complex and uncertain world. This suggests that dealing with uncertainty may be the central challenge for human reasoning. In Bayesian Rationality we argue that probability theory, the calculus of uncertainty, is the right framework in which to understand everyday reasoning. We also argue that probability theory explains behavior, even on experimental tasks that have been designed to probe people's logical reasoning abilities. Most commentators agree on the centrality of uncertainty; some suggest that there is (...)
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  • Theories of reasoning and the computational explanation of everyday inference.Mike Oaksford & Nick Chater - 1995 - Thinking and Reasoning 1 (2):121 – 152.
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  • The “is-ought fallacy” fallacy.Mike Oaksford & Nick Chater - 2011 - Behavioral and Brain Sciences 34 (5):262-263.
    Mere facts about how the world is cannot determine how we ought to think or behave. Elqayam & Evans (E&E) argue that this undercuts the use of rational analysis in explaining how people reason, by ourselves and with others. But this presumed application of the fallacy is itself fallacious. Rational analysis seeks to explain how people do reason, for example in laboratory experiments, not how they ought to reason. Thus, no ought is derived from an is; and rational analysis is (...)
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  • Précis of bayesian rationality: The probabilistic approach to human reasoning.Mike Oaksford & Nick Chater - 2009 - Behavioral and Brain Sciences 32 (1):69-84.
    According to Aristotle, humans are the rational animal. The borderline between rationality and irrationality is fundamental to many aspects of human life including the law, mental health, and language interpretation. But what is it to be rational? One answer, deeply embedded in the Western intellectual tradition since ancient Greece, is that rationality concerns reasoning according to the rules of logic – the formal theory that specifies the inferential connections that hold with certainty between propositions. Piaget viewed logical reasoning as defining (...)
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  • Mental models, computational explanation and Bayesian cognitive science: Commentary on Knauff and Gazzo Castañeda (2023).Mike Oaksford - 2023 - Thinking and Reasoning 29 (3):371-382.
    Knauff and Gazzo Castañeda (2022) object to using the term “new paradigm” to describe recent developments in the psychology of reasoning. This paper concedes that the Kuhnian term “paradigm” may be queried. What cannot is that the work subsumed under this heading is part of a new, progressive movement that spans the brain and cognitive sciences: Bayesian cognitive science. Sampling algorithms and Bayes nets used to explain biases in JDM can implement the Bayesian new paradigm approach belying any advantages of (...)
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  • More why, less how: What we need from models of cognition.Dennis Norris & Anne Cutler - 2021 - Cognition 213 (C):104688.
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  • Rawls' Theory of Justice: A Naturalistic Evaluation.Ho Mun Chan - 2005 - Journal of Medicine and Philosophy 30 (5):449-465.
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  • A generalized signal detection model to predict rational variation in base rate use.Peter R. Mueser, Nelson Cowan & Kim T. Mueser - 1999 - Cognition 69 (3):267-312.
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  • The information effect: constructive memory, testimony, and epistemic luck.Kourken Michaelian - 2013 - Synthese 190 (12):2429-2456.
    The incorporation of post-event testimonial information into an agent’s memory representation of the event via constructive memory processes gives rise to the misinformation effect, in which the incorporation of inaccurate testimonial information results in the formation of a false memory belief. While psychological research has focussed primarily on the incorporation of inaccurate information, the incorporation of accurate information raises a particularly interesting epistemological question: do the resulting memory beliefs qualify as knowledge? It is intuitively plausible that they do not, for (...)
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  • The Epistemology of Forgetting.Kourken Michaelian - 2011 - Erkenntnis 74 (3):399-424.
    The default view in the epistemology of forgetting is that human memory would be epistemically better if we were not so susceptible to forgetting—that forgetting is in general a cognitive vice. In this paper, I argue for the opposed view: normal human forgetting—the pattern of forgetting characteristic of cognitively normal adult human beings—approximates a virtue located at the mean between the opposed cognitive vices of forgetting too much and remembering too much. I argue, first, that, for any finite cognizer, a (...)
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  • Is external memory memory? Biological memory and extended mind.Kourken Michaelian - 2012 - Consciousness and Cognition 21 (3):1154-1165.
    Clark and Chalmers claim that an external resource satisfying the following criteria counts as a memory: the agent has constant access to the resource; the information in the resource is directly available; retrieved information is automatically endorsed; information is stored as a consequence of past endorsement. Research on forgetting and metamemory shows that most of these criteria are not satisfied by biological memory, so they are inadequate. More psychologically realistic criteria generate a similar classification of standard putative external memories, but (...)
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  • Mr. Chips: An ideal-observer model of reading.Gordon E. Legge, Timothy S. Klitz & Bosco S. Tjan - 1997 - Psychological Review 104 (3):524-553.
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  • Sequential sampling models of human text classification.Michael D. Lee & Elissa Y. Corlett - 2003 - Cognitive Science 27 (2):159-193.
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  • Autonoesis and belief in a personal past: an evolutionary theory of episodic memory indices.Stan Klein - 2014 - Review of Philosophy and Psychology 5 (3):427-447.
    In this paper I discuss philosophical and psychological treatments of the question "how do we decide that an occurrent mental state is a memory and not, say a thought or imagination?" This issue has proven notoriously difficult to resolve, with most proposed indices, criteria and heuristics failing to achieve consensus. Part of the difficulty, I argue, is that the indices and analytic solutions thus far offered seldom have been situated within a well-specified theory of memory function. As I hope to (...)
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