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  1. Don't throw the baby out with the math water: Why discounting the developmental foundations of early numeracy is premature and unnecessary.Kevin Muldoon, Charlie Lewis & Norman Freeman - 2008 - Behavioral and Brain Sciences 31 (6):663-664.
    We see no grounds for insisting that, because the concept natural number is abstract, its foundations must be innate. It is possible to specify domain general learning processes that feed into more abstract concepts of numerical infinity. By neglecting the messiness of children's slow acquisition of arithmetical concepts, Rips et al. present an idealized, unnecessarily insular, view of number development.
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  • The cultural evolution of mind-modelling.Richard Moore - 2020 - Synthese 199 (1):1751-1776.
    I argue that uniquely human forms of ‘Theory of Mind’ are a product of cultural evolution. Specifically, propositional attitude psychology is a linguistically constructed folk model of the human mind, invented by our ancestors for a range of tasks and refined over successive generations of users. The construction of these folk models gave humans new tools for thinking and reasoning about mental states—and so imbued us with abilities not shared by non-linguistic species. I also argue that uniquely human forms of (...)
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  • Abstract representations of small sets in newborns.Lucie Martin, Julien Marie, Mélanie Brun, Maria Dolores de Hevia, Arlette Streri & Véronique Izard - 2022 - Cognition 226 (C):105184.
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  • No evidence of learning in non-symbolic numerical tasks – A comment on.Marcus Lindskog & Anders Winman - 2016 - Cognition 150 (C):243-247.
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  • One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles.Mathieu Le Corre & Susan Carey - 2007 - Cognition 105 (2):395-438.
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  • Number and natural language.Stephen Laurence & Eric Margolis - 2005 - In Peter Carruthers, Stephen Laurence & Stephen Stich (eds.), The Innate Mind: Structure and Contents. New York, US: Oxford University Press on Demand. pp. 1--216.
    One of the most important abilities we have as humans is the ability to think about number. In this chapter, we examine the question of whether there is an essential connection between language and number. We provide a careful examination of two prominent theories according to which concepts of the positive integers are dependent on language. The first of these claims that language creates the positive integers on the basis of an innate capacity to represent real numbers. The second claims (...)
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  • Baby arithmetic: one object plus one tone.Tessei Kobayashi, Kazuo Hiraki, Ryoko Mugitani & Toshikazu Hasegawa - 2004 - Cognition 91 (2):B23-B34.
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  • A dissociation between small and large numbers in young children’s ability to “solve for x” in non-symbolic math problems.Melissa M. Kibbe & Lisa Feigenson - 2017 - Cognition 160 (C):82-90.
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  • (1 other version)Intersensory Redundancy Accelerates Preverbal Numerical Competence.Elizabeth M. Brannon Kerry E. Jordan, Sumarga H. Suanda - 2008 - Cognition 108 (1):210.
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  • Brief non-symbolic, approximate number practice enhances subsequent exact symbolic arithmetic in children.Daniel C. Hyde, Saeeda Khanum & Elizabeth S. Spelke - 2014 - Cognition 131 (1):92-107.
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  • The Faculty of Language Integrates the Two Core Systems of Number.Ken Hiraiwa - 2017 - Frontiers in Psychology 8.
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  • Language as a Necessary Condition for Complex Mental Content: A Review of the Discussion on Spatial and Mathematical Thinking. [REVIEW]Arkadiusz Gut & Robert Mirski - 2018 - Roczniki Filozoficzne 66 (3):33-56.
    In this article we review the discussion over the thesis that language serves as an integrator of contents coming from different cognitive modules. After presenting the theoretical considerations, we examine two strands of empirical research that tested the hypothesis — spatial cognition and mathematical cognition. The idea shared by both of them is that each is composed of two separate modules processing information of a specific kind. For spatial thinking these are geometric information about the location of the object and (...)
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  • Parallel non-verbal enumeration is constrained by a set-based limit.Lisa Feigenson - 2008 - Cognition 107 (1):1-18.
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  • A double-dissociation in infants' representations of object arrays.Lisa Feigenson - 2005 - Cognition 95 (3):B37-B48.
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  • Investigating infant knowledge with representational similarity analysis.Cameron T. Ellis - 2024 - Behavioral and Brain Sciences 47:e126.
    Decades of research have pushed us closer to understanding what babies know. However, a powerful approach – representational similarity analysis (RSA) – is underused in developmental research. I discuss the strengths of this approach and what it can tell us about infant conceptual knowledge. As a case study, I focus on numerosity as a domain where RSA can make unique progress.
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  • Beyond perceptual symbols: A call for representational pluralism.Guy Dove - 2009 - Cognition 110 (3):412-431.
    Recent evidence from cognitive neuroscience suggests that certain cognitive processes employ perceptual representations. Inspired by this evidence, a few researchers have proposed that cognition is inherently perceptual. They have developed an innovative theoretical approach that rests on the notion of perceptual simulation and marshaled several general arguments supporting the centrality of perceptual representations to concepts. In this article, I identify a number of weaknesses in these arguments and defend a multiple semantic code approach that posits both perceptual and non-perceptual representations.
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  • Perceiving numerosity from birth.Maria Dolores de Hevia, Elisa Castaldi, Arlette Streri, Evelyn Eger & Véronique Izard - 2017 - Behavioral and Brain Sciences 40.
    Leibovich et al. opened up an important discussion on the nature and origins of numerosity perception. The authors rightly point out that non-numerical features of stimuli influence this ability. Despite these biases, there is evidence that from birth, humans perceive and represent numerosities, and not just non-numerical quantitative features such as item size, density, and convex hull.
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  • Core systems of number.Stanislas Dehaene, Elizabeth Spelke & Lisa Feigenson - 2004 - Trends in Cognitive Sciences 8 (7):307-314.
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  • Spontaneous number representation in mosquitofish.Marco Dadda, Laura Piffer, Christian Agrillo & Angelo Bisazza - 2009 - Cognition 112 (2):343-348.
    While there is convincing evidence that preverbal human infants and non-human primates can spontaneously represent number, considerable debate surrounds the possibility that such capacity is also present in other animals. Fish show a remarkable ability to discriminate between different numbers of social companions. Previous work has demonstrated that in fish the same set of signature limits that characterize non-verbal numerical systems in primates is present but yet to provide any demonstration that fish can really represent number rather than basing their (...)
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  • Open questions and a proposal: A critical review of the evidence on infant numerical abilities.Lisa Cantrell & Linda B. Smith - 2013 - Cognition 128 (3):331-352.
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  • Do humans have two systems to track beliefs and belief-like states?Stephen Andrew Butterfill & Ian A. Apperly - 2009 - Psychological Review 116 (4):953-970.
    The lack of consensus on how to characterize humans’ capacity for belief reasoning has been brought into sharp focus by recent research. Children fail critical tests of belief reasoning before 3 to 4 years (Wellman, Cross, & Watson, 2001; Wimmer & Perner, 1983), yet infants apparently pass false belief tasks at 13 or 15 months (Onishi & Baillargeon, 2005; Surian, Caldi, & Sperber, 2007). Non-human animals also fail critical tests of belief reasoning but can show very complex social behaviour (e.g., (...)
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  • How numerals support new cognitive capacities.Stefan Buijsman - 2020 - Synthese 197 (9):3779-3796.
    Mathematical cognition has become an interesting case study for wider theories of cognition. Menary :1–20, 2015) argues that arithmetical cognition not only shows that internalist theories of cognition are wrong, but that it also shows that the Hypothesis of Extended Cognition is right. I examine this argument in more detail, to see if arithmetical cognition can support such conclusions. Specifically, I look at how the use of numerals extends our arithmetical abilities from quantity-related innate systems to systems that can deal (...)
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  • Number bias for the discrimination of large visual sets in infancy.Elizabeth M. Brannon, Sara Abbott & Donna J. Lutz - 2004 - Cognition 93 (2):B59-B68.
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  • Small-range numerical representations of linguistic sounds in 9- to 10-month-old infants.Silvia Benavides-Varela & Natalia Reoyo-Serrano - 2021 - Cognition 213 (C):104637.
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  • Judgments of discrete and continuous quantity: An illusory Stroop effect.Hilary C. Barth - 2008 - Cognition 109 (2):251-266.
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  • Evidence for a non-linguistic distinction between singular and plural sets in rhesus monkeys.David Barner, Justin Wood, Marc Hauser & Susan Carey - 2008 - Cognition 107 (2):603-622.
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  • Three-year-old children's reasoning about possibilities.Stephanie Alderete & Fei Xu - 2023 - Cognition 237 (C):105472.
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  • Nonsymbolic approximate arithmetic in children: Abstract addition prior to instruction.(Manuscript under review.Hilary Barth, Lacey Beckmann & Elizabeth S. Spelke - 2008 - Developmental Psychology 44 (5).
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  • Chronometric studies of numerical cognition in five-month-old infants.Justin N. Wood & Elizabeth S. Spelke - 2005 - Cognition 97 (1):23-39.
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  • From numerical concepts to concepts of number.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):623-642.
    Many experiments with infants suggest that they possess quantitative abilities, and many experimentalists believe that these abilities set the stage for later mathematics: natural numbers and arithmetic. However, the connection between these early and later skills is far from obvious. We evaluate two possible routes to mathematics and argue that neither is sufficient: (1) We first sketch what we think is the most likely model for infant abilities in this domain, and we examine proposals for extrapolating the natural number concept (...)
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  • Object individuation by iconic content: How is numerosity represented in iconic representation?Athanasios Raftopoulos - 2020 - Rivista Internazionale di Filosofia e Psicologia 11 (1):42-70.
    : Fodor argues that perceptual representations are a subset of iconic representations, which are distinguished from symbolic/discursive representations. Iconic representations are nonconceptual and they do not support the abilities afforded by concepts. Iconic representations, for example, cannot support object individuation. If someone thinks that perception or some of its parts has imagistic NCC, they face the following dilemma. Either they will have to accept that this NCC does not allow for object individuation, but it represents instead conglomerations of properties and (...)
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  • The Functional Unity of Special Science Kinds.Daniel A. Weiskopf - 2011 - British Journal for the Philosophy of Science 62 (2):233-258.
    The view that special science properties are multiply realizable has been attacked in recent years by Shapiro, Bechtel and Mundale, Polger, and others. Focusing on psychological and neuroscientific properties, I argue that these attacks are unsuccessful. By drawing on interspecies physiological comparisons I show that diverse physical mechanisms can converge on common functional properties at multiple levels. This is illustrated with examples from the psychophysics and neuroscience of early vision. This convergence is compatible with the existence of general constraints on (...)
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  • Moderate Epistemic Relativism and Our Epistemic Goals.Jonathan M. Weinberg - 2007 - Episteme 4 (1):66-92.
    Although radical forms of relativism are perhaps beyond the epistemological pale, I argue here that a more moderate form may be plausible, and articulate the conditions under which moderate epistemic relativism could well serve our epistemic goals. In particular, as a result of our limitations as human cognizers, we find ourselves needing to investigate the dappled and difficult world by means of competing communities of highly specialized researchers. We would do well, I argue, to admit of the existence of unresolvable (...)
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  • The Acuity and Manipulability of the ANS Have Separable Influences on Preschoolers’ Symbolic Math Achievement.Ariel Starr, Rachel C. Tomlinson & Elizabeth M. Brannon - 2018 - Frontiers in Psychology 9.
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  • Core knowledge, language learning, and the origins of morality and pedagogy: Reply to reviews of What babies know.Elizabeth S. Spelke - 2023 - Mind and Language 38 (5):1336-1350.
    The astute reviews by Hamlin and by Revencu and Csibra provide compelling arguments and evidence for the early emergence of moral evaluation, communication, and pedagogical learning. I accept these conclusions but not the reviewers' claims that infants' talents in these domains depend on core systems of moral evaluation or pedagogical communication. Instead, I suggest that core knowledge of people as agents and as social beings, together with infants' emerging understanding of their native language, support learning about people as moral agents, (...)
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  • Neurophilosophy of Number.Hourya Benis Sinaceur - 2017 - International Studies in the Philosophy of Science 31 (1):1-25.
    Neurosciences and cognitive sciences provide us with myriad empirical findings that shed light on hypothesised primitive numerical processes in the brain and in the mind. Yet, the hypotheses on which the experiments are based, and hence the results, depend strongly on sophisticated abstract models used to describe and explain neural data or cognitive representations that supposedly are the empirical roots of primary arithmetical activity. I will question the foundational role of such models. I will even cast doubt upon the search (...)
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  • Happy Little Benefactor: Prosocial Behaviors Promote Happiness in Young Children From Two Cultures.Yue Song, Martine Louise Broekhuizen & Judith Semon Dubas - 2020 - Frontiers in Psychology 11.
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  • The ability of children to delay gratification in an exchange task.Sophie Steelandt, Bernard Thierry, Marie-Hélène Broihanne & Valérie Dufour - 2012 - Cognition 122 (3):416-425.
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  • Infants’ auditory enumeration: Evidence for analog magnitudes in the small number range.Kristy vanMarle & Karen Wynn - 2009 - Cognition 111 (3):302-316.
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