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  1. The Functional Unity of Special Science Kinds.D. 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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  • The Development of Language and Abstract Concepts: The Case of Natural Number.Kirsten F. Condry & Elizabeth S. Spelke - 2008 - Journal of Experimental Psychology: General 137 (1):22-38.
  • 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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  • 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.
  • 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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  • Chronometric Studies of Numerical Cognition in Five-Month-Old Infants.Justin N. Wood & Elizabeth S. Spelke - 2005 - Cognition 97 (1):23-39.
  • 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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  • 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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  • 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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  • 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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  • 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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  • 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 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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  • 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).
  • A Double-Dissociation in Infants' Representations of Object Arrays.Lisa Feigenson - 2005 - Cognition 95 (3):B37-B48.
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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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  • 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.
  • Core Systems of Number.Stanislas Dehaene, Elizabeth Spelke & Lisa Feigenson - 2004 - Trends in Cognitive Sciences 8 (7):307-314.
  • Intersensory Redundancy Accelerates Preverbal Numerical Competence.Elizabeth M. Brannon Kerry E. Jordan, Sumarga H. Suanda - 2008 - Cognition 108 (1):210.
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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.
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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.
  • Infants’ Auditory Enumeration: Evidence for Analog Magnitudes in the Small Number Range.Kristy vanMarle & Karen Wynn - 2009 - Cognition 111 (3):302-316.
  • 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.
  • Parallel Non-Verbal Enumeration is Constrained by a Set-Based Limit.Lisa Feigenson - 2008 - Cognition 107 (1):1-18.
  • Judgments of Discrete and Continuous Quantity: An Illusory Stroop Effect.Hilary C. Barth - 2008 - Cognition 109 (2):251-266.
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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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  • 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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  • How Numerals Support New Cognitive Capacities.Stefan Buijsman - forthcoming - Synthese:1-18.
    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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