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Stanislas Dehaene (2003). The Neural Basis of the Weber–Fechner Law: A Logarithmic Mental Number Line.

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  1.  8
    It All Adds Up …. Or Does It? Numbers, Mathematics and Purpose.Simon Conway Morris - forthcoming - Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences.
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  2.  8
    On the Epistemic Legitimacy of Government Paternalism.Johan Brännmark - 2018 - Public Health Ethics 11 (1):27-34.
    Some contemporary paternalists argue in favor of government interventions based on how experimental psychologists and behavioral economists have found that our behavior often diverges from what would be predicted by rational-choice models. In this article it is argued that these findings can, more specifically, be used to identify decisional trouble spots where paternalist interventions may be legitimate. It is further argued that since the epistemic legitimacy of government paternalism ultimately rests on centralized decision-making having a comparative advantage, it also depends (...)
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  3.  2
    Longitudinal Brain Development of Numerical Skills in Typically Developing Children and Children with Developmental Dyscalculia.Ursina McCaskey, Michael von Aster, Urs Maurer, Ernst Martin, Ruth O'Gorman Tuura & Karin Kucian - 2018 - Frontiers in Human Neuroscience 11.
  4.  2
    Why Try Saving the ANS? An Alternative Proposal.Titia Gebuis, Roi Cohen Kadosh & Wim Gevers - 2017 - Behavioral and Brain Sciences 40.
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  5.  4
    Current Perspectives on Cognitive Diversity.Andrea Bender & Sieghard Beller - 2016 - Frontiers in Psychology 7.
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  6.  7
    Cognitive Mapping in Mental Time Travel and Mental Space Navigation.Baptiste Gauthier & Virginie van Wassenhove - 2016 - Cognition 154:55-68.
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  7.  10
    Number Concepts for the Concept Empiricist.Max Jones - 2016 - Philosophical Psychology 29 (3):334-348.
    Dove and Machery both argue that recent findings about the nature of numerical representation present problems for Concept Empiricism. I shall argue that, whilst this evidence does challenge certain versions of CE, such as Prinz, it needn’t be seen as problematic to the general CE approach. Recent research can arguably be seen to support a CE account of number concepts. Neurological and behavioral evidence suggests that systems involved in the perception of numerical properties are also implicated in numerical cognition. Furthermore, (...)
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  8.  77
    Analogue Magnitude Representations: A Philosophical Introduction.Jacob Beck - 2015 - British Journal for the Philosophy of Science 66 (4):829-855.
    Empirical discussions of mental representation appeal to a wide variety of representational kinds. Some of these kinds, such as the sentential representations underlying language use and the pictorial representations of visual imagery, are thoroughly familiar to philosophers. Others have received almost no philosophical attention at all. Included in this latter category are analogue magnitude representations, which enable a wide range of organisms to primitively represent spatial, temporal, numerical, and related magnitudes. This article aims to introduce analogue magnitude representations to a (...)
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  9.  2
    Asymmetric Activation Spreading in the Multiplication Associative Network Due to Asymmetric Overlap Between Numerosities Semantic Representations?Daniele Didino, André Knops, Francesco Vespignani & Suchada Kornpetpanee - 2015 - Cognition 141:1-8.
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  10.  18
    A Bayesian Perspective on Magnitude Estimation.Frederike H. Petzschner, Stefan Glasauer & Klaas E. Stephan - 2015 - Trends in Cognitive Sciences 19 (5):285-293.
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  11.  3
    The Neural Signatures of Processing Semantic End Values in Automatic Number Comparisons.Michal Pinhas, Chananel Buchman, Dmitri Lavro, David Mesika, Joseph Tzelgov & Andrea Berger - 2015 - Frontiers in Human Neuroscience 9.
  12. Measuring Ensemble Interdependence in a String Quartet Through Analysis of Multidimensional Performance Data.Panos Papiotis, Marco Marchini, Alfonso Perez-Carrillo & Esteban Maestre - 2014 - Frontiers in Psychology 5.
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  13. Generative Processing Underlies the Mutual Enhancement of Arithmetic Fluency and Math-Grounding Number Sense.Ivilin P. Stoianov - 2014 - Frontiers in Psychology 5.
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  14.  15
    How Do We Convert a Number Into a Finger Trajectory?D. Dotan & S. Dehaene - 2013 - Cognition 129 (3):512-529.
  15. The Generality Constraint and the Structure of Thought.Jacob Beck - 2012 - Mind 121 (483):563-600.
    According to the Generality Constraint, mental states with conceptual content must be capable of recombining in certain systematic ways. Drawing on empirical evidence from cognitive science, I argue that so-called analogue magnitude states violate this recombinability condition and thus have nonconceptual content. I further argue that this result has two significant consequences: it demonstrates that nonconceptual content seeps beyond perception and infiltrates cognition; and it shows that whether mental states have nonconceptual content is largely an empirical matter determined by the (...)
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  16.  26
    Nature and Culture of Finger Counting: Diversity and Representational Effects of an Embodied Cognitive Tool.Andrea Bender & Sieghard Beller - 2012 - Cognition 124 (2):156-182.
  17.  43
    Indexed Natural Numbers in Mind: A Formal Model of the Basic Mature Number Competence. [REVIEW]Wojciech Krysztofiak - 2012 - Axiomathes 22 (4):433-456.
    The paper undertakes three interdisciplinary tasks. The first one consists in constructing a formal model of the basic arithmetic competence, that is, the competence sufficient for solving simple arithmetic story-tasks which do not require any mathematical mastery knowledge about laws, definitions and theorems. The second task is to present a generalized arithmetic theory, called the arithmetic of indexed numbers (INA). All models of the development of counting abilities presuppose the common assumption that our simple, folk arithmetic encoded linguistically in the (...)
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  18.  25
    Numerosities and Space; Indeed a Cognitive Illusion! A Reply to de Hevia and Spelke.Titia Gebuis & Wim Gevers - 2011 - Cognition 121 (2):248-252.
  19.  9
    Squeezing, Striking, and Vocalizing: Is Number Representation Fundamentally Spatial?Rafael Núñez, D. Doan & Anastasia Nikoulina - 2011 - Cognition 120 (2):225-235.
  20.  24
    Weber-Fechner Law and the Optimality of the Logarithmic Scale.R. Portugal & B. Svaiter - 2011 - Minds and Machines 21 (1):73-81.
    Weber-Fechner Law states that the perceived intensity is proportional to the logarithm of the stimulus. Recent experiments suggest that this law also holds true for perception of numerosity. Therefore, the use of a logarithmic scale for the quantification of the perceived intensity may also depend on how the cognitive apparatus processes information. If Weber-Fechner law is the result of natural selection, then the logarithmic scale should be better, in some sense, than other biologically feasible scales. We consider the minimization of (...)
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  21.  58
    Foundational Numerical Capacities and the Origins of Dyscalculia.Brian Butterworth - 2010 - Trends in Cognitive Sciences 14 (12):534-541.
  22.  43
    Neurocognitive Start-Up Tools for Symbolic Number Representations.Manuela Piazza - 2010 - Trends in Cognitive Sciences 14 (12):542-551.
  23.  29
    Numbers and Arithmetic: Neither Hardwired Nor Out There.Rafael Núñez - 2009 - Biological Theory 4 (1):68-83.
    What is the nature of number systems and arithmetic that we use in science for quantification, analysis, and modeling? I argue that number concepts and arithmetic are neither hardwired in the brain, nor do they exist out there in the universe. Innate subitizing and early cognitive preconditions for number— which we share with many other species—cannot provide the foundations for the precision, richness, and range of number concepts and simple arithmetic, let alone that of more complex mathematical concepts. Numbers and (...)
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  24. An Extended Mind Perspective on Natural Number Representation.Helen De Cruz - 2008 - Philosophical Psychology 21 (4):475 – 490.
    Experimental studies indicate that nonhuman animals and infants represent numerosities above three or four approximately and that their mental number line is logarithmic rather than linear. In contrast, human children from most cultures gradually acquire the capacity to denote exact cardinal values. To explain this difference, I take an extended mind perspective, arguing that the distinctly human ability to use external representations as a complement for internal cognitive operations enables us to represent natural numbers. Reviewing neuroscientific, developmental, and anthropological evidence, (...)
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  25.  14
    Calibrating the Mental Number Line.Véronique Izard & Stanislas Dehaene - 2008 - Cognition 106 (3):1221-1247.
    Human adults are thought to possess two dissociable systems to represent numbers: an approximate quantity system akin to a mental number line, and a verbal system capable of representing numbers exactly. Here, we study the interface between these two systems using an estimation task. Observers were asked to estimate the approximate numerosity of dot arrays. We show that, in the absence of calibration, estimates are largely inaccurate: responses increase monotonically with numerosity, but underestimate the actual numerosity. However, insertion of a (...)
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  26.  4
    An Effect of Spatial–Temporal Association of Response Codes: Understanding the Cognitive Representations of Time.Antonino Vallesi, Malcolm A. Binns & Tim Shallice - 2008 - Cognition 107 (2):501-527.
  27.  29
    Symbolic and Nonsymbolic Pathways of Number Processing.Tom Verguts & Wim Fias - 2008 - Philosophical Psychology 21 (4):539 – 554.
    Recent years have witnessed an enormous increase in behavioral and neuroimaging studies of numerical cognition. Particular interest has been devoted toward unraveling properties of the representational medium on which numbers are thought to be represented. We have argued that a correct inference concerning these properties requires distinguishing between different input modalities and different decision/output structures. To back up this claim, we have trained computational models with either symbolic or nonsymbolic input and with different task requirements, and showed that this allowed (...)
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  28.  44
    Can Synaesthesia Research Inform Cognitive Science?Roi Cohen Kadosh & Avishai Henik - 2007 - Trends in Cognitive Sciences 11 (4):177-184.
  29.  14
    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.
  30.  19
    The Mental Number Line: Exact and Approximate.Wim Fias & Tom Verguts - 2004 - Trends in Cognitive Sciences 8 (10):447-448.
    Comments on an article by Feigenson et. al.(see record 2004-18473-007). Reviewing behavioral and neural data in children, humans and animals, Feigenson and colleagues distinguish two core systems for number representation. One system represents number in an exact way but has a fixed upper limit; the other system has no size limit but represents number only approximately. Both systems are claimed to have a phylogenetic origin and to constitute the basis for ontogenetic development. As such, each system's representational principles are reflected (...)
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