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  1. An empirically informed account of numbers as reifications.César Frederico dos Santos - 2023 - Theoria 89 (6):783-799.
    The field of numerical cognition provides a fairly clear picture of the processes through which we learn basic arithmetical facts. This scientific picture, however, is rarely taken as providing a response to a much‐debated philosophical question, namely, the question of how we obtain number knowledge, since numbers are usually thought to be abstract entities located outside of space and time. In this paper, I take the scientific evidence on how we learn arithmetic as providing a response to the philosophical question (...)
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  • Border Disputes: Recent Debates along the Perception–Cognition Border.Sam Clarke & Jacob Beck - 2023 - Philosophy Compass 18 (8):e12936.
    The distinction between perception and cognition frames countless debates in philosophy and cognitive science. But what, if anything, does this distinction actually amount to? In this introductory article, we summarize recent work on this question. We first briefly consider the possibility that a perception-cognition border should be eliminated from our scientific ontology, and then introduce and critically examine five positive approaches to marking a perception–cognition border, framed in terms of phenomenology, revisability, modularity, format, and stimulus-dependence.
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  • The best game in town: The reemergence of the language-of-thought hypothesis across the cognitive sciences.Jake Quilty-Dunn, Nicolas Porot & Eric Mandelbaum - 2023 - Behavioral and Brain Sciences 46:e261.
    Mental representations remain the central posits of psychology after many decades of scrutiny. However, there is no consensus about the representational format(s) of biological cognition. This paper provides a survey of evidence from computational cognitive psychology, perceptual psychology, developmental psychology, comparative psychology, and social psychology, and concludes that one type of format that routinely crops up is the language-of-thought (LoT). We outline six core properties of LoTs: (i) discrete constituents; (ii) role-filler independence; (iii) predicate–argument structure; (iv) logical operators; (v) inferential (...)
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  • Number adaptation: A critical look.Sami Yousif, Sam Clarke & Elizabeth Brannon - forthcoming - Cognition.
    It is often assumed that adaptation — a temporary change in sensitivity to a perceptual dimension following exposure to that dimension — is a litmus test for what is and is not a “primary visual attribute”. Thus, papers purporting to find evidence of number adaptation motivate a claim of great philosophical significance: That number is something that can be seen in much the way that canonical visual features, like color, contrast, size, and speed, can. Fifteen years after its reported discovery, (...)
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  • Re-establishing the distinction between numerosity, numerousness, and number in numerical cognition.César Frederico Dos Santos - 2022 - Philosophical Psychology 35 (8):1152-1180.
    In 1939, the influential psychophysicist S. S. Stevens proposed definitional distinctions between the terms ‘number,’ ‘numerosity,’ and ‘numerousness.’ Although the definitions he proposed were adopted by syeveral psychophysicists and experimental psychologists in the 1940s and 1950s, they were almost forgotten in the subsequent decades, making room for what has been described as a “terminological chaos” in the field of numerical cognition. In this paper, I review Stevens’s distinctions to help bring order to this alleged chaos and to shed light on (...)
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  • Teaching & Learning Guide for: ‘Border Disputes: Recent Debates along the Perception–Cognition Border’.Sam Clarke & Jacob Beck - 2023 - Philosophy Compass 18 (10):e12949.
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  • Compositionality and constituent structure in the analogue mind.Sam Clarke - 2023 - Philosophical Perspectives 37 (1):90-118.
    I argue that analogue mental representations possess a canonical decomposition into privileged constituents from which they compose. I motivate this suggestion, and rebut arguments to the contrary, through reflection on the approximate number system, whose representations are widely expected to have an analogue format. I then argue that arguments for the compositionality and constituent structure of these analogue representations generalize to other analogue mental representations posited in the human mind, such as those in early vision and visual imagery.
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  • Positing numerosities may be metaphysically extravagant; positing representation of numerosities is not.Simon A. B. Brown - 2021 - Behavioral and Brain Sciences 44.
    Clarke and Beck assume that approximate number system representations should be assigned referents from our scientific ontology. However, many representations, both in perception and cognition, do not straightforwardly refer to such entities. If we reject Clarke and Beck's assumption, many possible contents for ANS representations besides number are compatible with the evidence Clarke and Beck cite.
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  • Number Concepts: An Interdisciplinary Inquiry.Richard Samuels & Eric Snyder - 2024 - Cambridge University Press.
    This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within mainstream number cognition research, (...)
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  • A pluralistic framework for the psychology of norms.Evan Westra & Kristin Andrews - 2022 - Biology and Philosophy 37 (5):1-30.
    Social norms are commonly understood as rules that dictate which behaviors are appropriate, permissible, or obligatory in different situations for members of a given community. Many researchers have sought to explain the ubiquity of social norms in human life in terms of the psychological mechanisms underlying their acquisition, conformity, and enforcement. Existing theories of the psychology of social norms appeal to a variety of constructs, from prediction-error minimization, to reinforcement learning, to shared intentionality, to domain-specific adaptations for norm acquisition. In (...)
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  • Naturalising Mathematics? A Wittgensteinian Perspective.Jan Stam, Martin Stokhof & Michiel Van Lambalgen - 2022 - Philosophies 7 (4):85.
    There is a noticeable gap between results of cognitive neuroscientific research into basic mathematical abilities and philosophical and empirical investigations of mathematics as a distinct intellectual activity. The paper explores the relevance of a Wittgensteinian framework for dealing with this discrepancy.
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  • Counting and the ontogenetic origins of exact equality.Rose M. Schneider, Erik Brockbank, Roman Feiman & David Barner - 2022 - Cognition 218 (C):104952.
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  • Modeling Magnitude Discrimination: Effects of Internal Precision and Attentional Weighting of Feature Dimensions.Emily M. Sanford, Chad M. Topaz & Justin Halberda - 2024 - Cognitive Science 48 (2):e13409.
    Given a rich environment, how do we decide on what information to use? A view of a single entity (e.g., a group of birds) affords many distinct interpretations, including their number, average size, and spatial extent. An enduring challenge for cognition, therefore, is to focus resources on the most relevant evidence for any particular decision. In the present study, subjects completed three tasks—number discrimination, surface area discrimination, and convex hull discrimination—with the same stimulus set, where these three features were orthogonalized. (...)
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  • On Radical Enactivist Accounts of Arithmetical Cognition.Markus Pantsar - 2022 - Ergo: An Open Access Journal of Philosophy 9.
    Hutto and Myin have proposed an account of radically enactive (or embodied) cognition (REC) as an explanation of cognitive phenomena, one that does not include mental representations or mental content in basic minds. Recently, Zahidi and Myin have presented an account of arithmetical cognition that is consistent with the REC view. In this paper, I first evaluate the feasibility of that account by focusing on the evolutionarily developed proto-arithmetical abilities and whether empirical data on them support the radical enactivist view. (...)
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  • Developing Artificial Human-Like Arithmetical Intelligence (and Why).Markus Pantsar - 2023 - Minds and Machines 33 (3):379-396.
    Why would we want to develop artificial human-like arithmetical intelligence, when computers already outperform humans in arithmetical calculations? Aside from arithmetic consisting of much more than mere calculations, one suggested reason is that AI research can help us explain the development of human arithmetical cognition. Here I argue that this question needs to be studied already in the context of basic, non-symbolic, numerical cognition. Analyzing recent machine learning research on artificial neural networks, I show how AI studies could potentially shed (...)
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  • Re-affirming experience, presence, and the world: setting the RECord straight in reply to Noë.Daniel D. Hutto & Erik Myin - 2021 - Phenomenology and the Cognitive Sciences 20 (5):971-989.
    This paper responds to Alva Noë’s general critique of Radical Enactivism. In particular, it responds to his claim that Radical Enactivism denies experience, presence and the world. We clarify Radical Enactivism’s actual arguments and positive commitments in this regard. Finally, we assess how Radical Enactvism stands up in comparison with Noë’s own version of Sensorimotor Knowledge Enactivism.
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  • Are Rational Numbers Spontaneous? Natural Numbers Suffice all Processing by the Number Sense.Anastasia Dimakou, Aldo Antonio Sarubbi, Silvia Benavides-Varela & Rosa Rugani - 2022 - Cognitive Science 46 (7):e13164.
    Cognitive Science, Volume 46, Issue 7, July 2022.
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  • Rational Number Representation by the Approximate Number System.Chuyan Qu, Sam Clarke & Elizabeth Brannon - manuscript
    The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a). Prior work demonstrates that adults and children discriminate ratios in an approximate and ratio-dependent manner, consistent with the hallmarks of the ANS. Here, we use a well-known “connectedness illusion” to provide evidence that these (...)
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  • Kantian Animal Moral Psychology: Empirical Markers for Animal Morality.Erik Nelson - forthcoming - Ergo: An Open Access Journal of Philosophy.
    I argue that a Kantian inspired investigation into animal morality is both a plausible and coherent research program. To show that such an investigation is possible, I argue that philosophers, such as Korsgaard, who argue that reason demarcates nonhuman animals from the domain of moral beings are equivocating in their use of the term ‘rationality’. Kant certainly regards rationality as necessary for moral responsibility from a practical standpoint, but his distinction between the noumenal and phenomenal means that he can only (...)
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