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  1. Cognitive Artifacts for Geometric Reasoning.Mateusz Hohol & Marcin Miłkowski - 2019 - Foundations of Science 24 (4):657-680.
    In this paper, we focus on the development of geometric cognition. We argue that to understand how geometric cognition has been constituted, one must appreciate not only individual cognitive factors, such as phylogenetically ancient and ontogenetically early core cognitive systems, but also the social history of the spread and use of cognitive artifacts. In particular, we show that the development of Greek mathematics, enshrined in Euclid’s Elements, was driven by the use of two tightly intertwined cognitive artifacts: the use of (...)
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  • Prolegomena to a Cognitive Investigation of Euclidean Diagrammatic Reasoning.Yacin Hamami & John Mumma - 2013 - Journal of Logic, Language and Information 22 (4):421-448.
    Euclidean diagrammatic reasoning refers to the diagrammatic inferential practice that originated in the geometrical proofs of Euclid’s Elements. A seminal philosophical analysis of this practice by Manders (‘The Euclidean diagram’, 2008) has revealed that a systematic method of reasoning underlies the use of diagrams in Euclid’s proofs, leading in turn to a logical analysis aiming to capture this method formally via proof systems. The central premise of this paper is that our understanding of Euclidean diagrammatic reasoning can be fruitfully advanced (...)
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  • Top-Down and Bottom-Up Philosophy of Mathematics.Carlo Cellucci - 2013 - Foundations of Science 18 (1):93-106.
    The philosophy of mathematics of the last few decades is commonly distinguished into mainstream and maverick, to which a ‘third way’ has been recently added, the philosophy of mathematical practice. In this paper the limitations of these trends in the philosophy of mathematics are pointed out, and it is argued that they are due to the fact that all of them are based on a top-down approach, that is, an approach which explains the nature of mathematics in terms of some (...)
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  • Mario Bunge’s Philosophy of Mathematics: An Appraisal.Jean-Pierre Marquis - 2012 - Science & Education 21 (10):1567-1594.
    In this paper, I present and discuss critically the main elements of Mario Bunge’s philosophy of mathematics. In particular, I explore how mathematical knowledge is accounted for in Bunge’s systemic emergent materialism.To Mario, with gratitude.
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  • Beyond Core Knowledge: Natural Geometry.Elizabeth Spelke, Sang Ah Lee & Véronique Izard - 2010 - Cognitive Science 34 (5):863-884.
    For many centuries, philosophers and scientists have pondered the origins and nature of human intuitions about the properties of points, lines, and figures on the Euclidean plane, with most hypothesizing that a system of Euclidean concepts either is innate or is assembled by general learning processes. Recent research from cognitive and developmental psychology, cognitive anthropology, animal cognition, and cognitive neuroscience suggests a different view. Knowledge of geometry may be founded on at least two distinct, evolutionarily ancient, core cognitive systems for (...)
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  • Talking Our Way to Systematicity.Léa Salje - 2019 - Philosophical Studies 176 (10):2563-2588.
    Do we think in a language-like format? Taking the marker of language-like formats to be the property of unconstrained systematicity, this paper considers the following master argument for the claim that we do: language is unconstrainedly systematic, if language is unconstrainedly systematic then so is thought, so thought is unconstrainedly systematic. It is easy to feel that there is something right about this argument, that there will be some way of filling in its details that will vindicate the idea that (...)
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  • On Euclidean Diagrams and Geometrical Knowledge.Tamires Dal Magro & Manuel J. García-Pérez - 2019 - Theoria. An International Journal for Theory, History and Foundations of Science 34 (2):255.
    We argue against the claim that the employment of diagrams in Euclidean geometry gives rise to gaps in the proofs. First, we argue that it is a mistake to evaluate its merits through the lenses of Hilbert’s formal reconstruction. Second, we elucidate the abilities employed in diagram-based inferences in the Elements and show that diagrams are mathematically reputable tools. Finally, we complement our analysis with a review of recent experimental results purporting to show that, not only is the Euclidean diagram-based (...)
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  • The Epistemology of Geometry I: The Problem of Exactness.Anne Newstead & Franklin James - 2010 - Proceedings of the Australasian Society for Cognitive Science 2009.
    We show how an epistemology informed by cognitive science promises to shed light on an ancient problem in the philosophy of mathematics: the problem of exactness. The problem of exactness arises because geometrical knowledge is thought to concern perfect geometrical forms, whereas the embodiment of such forms in the natural world may be imperfect. There thus arises an apparent mismatch between mathematical concepts and physical reality. We propose that the problem can be solved by emphasizing the ways in which the (...)
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  • The Language of Geometry : Fast Comprehension of Geometrical Primitives and Rules in Human Adults and Preschoolers.Pierre Pica & Mariano Sigman & Stanislas Dehaene With Marie Amalric, Liping Wang - 2017 - PLoS Biology 10.
    Article Authors Metrics Comments Media Coverage Abstract Author Summary Introduction Results Discussion Supporting information Acknowledgments Author Contributions References Reader Comments (0) Media Coverage (0) Figures Abstract During language processing, humans form complex embedded representations from sequential inputs. Here, we ask whether a “geometrical language” with recursive embedding also underlies the human ability to encode sequences of spatial locations. We introduce a novel paradigm in which subjects are exposed to a sequence of spatial locations on an octagon, and are asked to (...)
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  • Comparing Biological Motion in Two Distinct Human Societies.Pierre Pica, Stuart Jackson, Randolph Blake & Nikolaus Troje - 2011 - PLoS ONE 6 (12):e28391.
    Cross cultural studies have played a pivotal role in elucidating the extent to which behavioral and mental characteristics depend on specific environmental influences. Surprisingly, little field research has been carried out on a fundamentally important perceptual ability, namely the perception of biological motion. In this report, we present details of studies carried out with the help of volunteers from the Mundurucu indigene, a group of people native to Amazonian territories in Brazil. We employed standard biological motion perception tasks inspired by (...)
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  • Flexible Intuitions of Euclidean Geometry in an Amazonian Indigene Group.Pierre Pica, Véronique Izard, Elizabeth Spelke & Stanislas Dehaene - 2011 - Pnas 23.
    Kant argued that Euclidean geometry is synthesized on the basis of an a priori intuition of space. This proposal inspired much behavioral research probing whether spatial navigation in humans and animals conforms to the predictions of Euclidean geometry. However, Euclidean geometry also includes concepts that transcend the perceptible, such as objects that are infinitely small or infinitely large, or statements of necessity and impossibility. We tested the hypothesis that certain aspects of nonperceptible Euclidian geometry map onto intuitions of space that (...)
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  • Exact Equality and Successor Function: Two Key Concepts on the Path Towards Understanding Exact Numbers.Véronique Izard, Pierre Pica, Elizabeth S. Spelke & Stanislas Dehaene - 2008 - Philosophical Psychology 21 (4):491 – 505.
    Humans possess two nonverbal systems capable of representing numbers, both limited in their representational power: the first one represents numbers in an approximate fashion, and the second one conveys information about small numbers only. Conception of exact large numbers has therefore been thought to arise from the manipulation of exact numerical symbols. Here, we focus on two fundamental properties of the exact numbers as prerequisites to the concept of EXACT NUMBERS : the fact that all numbers can be generated by (...)
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  • Geometry as a Universal Mental Construction.Véronique Izard, Pierre Pica, Danièle Hinchey, Stanislas Dehane & Elizabeth Spelke - 2011 - In Stanislas Dehaene & Elizabeth Brannon (eds.), Space, Time and Number in the Brain. Oxford University Press.
    Geometry, etymologically the “science of measuring the Earth”, is a mathematical formalization of space. Just as formal concepts of number may be rooted in an evolutionary ancient system for perceiving numerical quantity, the fathers of geometry may have been inspired by their perception of space. Is the spatial content of formal Euclidean geometry universally present in the way humans perceive space, or is Euclidean geometry a mental construction, specific to those who have received appropriate instruction? The spatial content of the (...)
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  • The Mapping of Numbers on Space : Evidence for a Logarithmic Intuition.Véronique Izard, Pierre Pica, Elizabeth Spelke & Stanislas Dehaene - 2008 - Médecine/Science 24 (12):1014-1016.
    Des branches entières des mathématiques sont fondées sur des liens posés entre les nombres et l’espace : mesure de longueurs, définition de repères et de coordonnées, projection des nombres complexes sur le plan… Si les nombres complexes, comme l’utilisation de repères, sont apparus relativement récemment (vers le XVIIe siècle), la mesure des longueurs est en revanche un procédé très ancien, qui remonte au moins au 3e ou 4e millénaire av. J-C. Loin d’être fortuits, ces liens entre les nombres et l’espace (...)
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  • ¿“Natural” y “Euclidiana”? Reflexiones Sobre la Geometría Práctica y Sus Raíces Cognitivas.José Ferreirós & Manuel Jesús García-Pérez - 2018 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 33 (2):325-344.
    We discuss critically some recent theses about geometric cognition, namely claims of universality made by Dehaene et al., and the idea of a “natural geometry” employed by Spelke et al. We offer arguments for the need to distinguish visuo-spatial cognition from basic geometric knowledge, furthermore we claim that the latter cannot be identified with Euclidean geometry. The main aim of the paper is to advance toward a characterization of basic, practical geometry – which in our view requires a combination of (...)
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  • Discrimination of Small Forms in a Deviant-Detection Paradigm by 10-Month-Old Infants.Marcus Lindskog, Maria Rogell, Ben Kenward & Gustaf Gredebäck - 2019 - Frontiers in Psychology 10.
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  • Literacy Breaks Mirror Invariance for Visual Stimuli: A Behavioral Study with Adult Illiterates.Felipe Pegado, Kimihiro Nakamura, Lucia W. Braga, Paulo Ventura, Gilberto Nunes Filho, Christophe Pallier, Antoinette Jobert, José Morais, Laurent Cohen, Régine Kolinsky & Stanislas Dehaene - 2014 - Journal of Experimental Psychology: General 143 (2):887-894.
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  • Privileged Standpoints/Reliable Processes.Kourken Michaelian - 2008 - Hypatia 23 (1):65-98.
    : This article attempts to reconcile Sandra Harding's postmodernist standpoint theory with process reliabilism in first-order epistemology and naturalism in metaepistemology. Postmodernist standpoint theory is best understood as consisting of an applied epistemological component and a metaepistemological component. Naturalist metaepistemology and the metaepistemological component of postmodernist standpoint theory have produced complementary views of knowledge as a socially and naturally located phenomenon and have converged on a common concept of objectivity. The applied epistemological claims of postmodernist standpoint theory usefully can be (...)
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  • Navigation as a Source of Geometric Knowledge: Young Children’s Use of Length, Angle, Distance, and Direction in a Reorientation Task.Sang Ah Lee, Valeria A. Sovrano & Elizabeth S. Spelke - 2012 - Cognition 123 (1):144-161.
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  • Spatial Reasoning in Tenejapan Mayans.Peggy Li, Linda Abarbanell, Lila Gleitman & Anna Papafragou - 2011 - Cognition 120 (1):33-53.
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  • Quantitative Standards for Absolute Linguistic Universals.Steven T. Piantadosi & Edward Gibson - 2014 - Cognitive Science 38 (4):736-756.
    Absolute linguistic universals are often justified by cross-linguistic analysis: If all observed languages exhibit a property, the property is taken to be a likely universal, perhaps specified in the cognitive or linguistic systems of language learners and users. In many cases, these patterns are then taken to motivate linguistic theory. Here, we show that cross-linguistic analysis will very rarely be able to statistically justify absolute, inviolable patterns in language. We formalize two statistical methods—frequentist and Bayesian—and show that in both it (...)
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  • Cephalic Organization: Animacy and Agency.Jay Schulkin - 2008 - Contemporary Pragmatism 5 (1):61-77.
    Humans come prepared to recognize two fundamental features of our surroundings: animate objects and agents. This recognition begins early in ontogeny and pervades our ecological and social space. This cognitive capacity reveals an important adaptation and sets the conditions for pervasive shared experiences. One feature of our species and our evolved cephalic substrates is that we are prepared to recognize self-propelled action in others. Our cultural evolution is knotted to an expanding sense of shared experiences.
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  • Mathematical Cognition and its Cultural Dimension.Andrea Bender, Sieghard Beller, Marc Brysbaert, Stanislas Dehaene & Heike Wiese - 2009 - In N. A. Taatgen & H. van Rijn (eds.), Proceedings of the 31st Annual Conference of the Cognitive Science Society.
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  • Development in the Estimation of Degree Measure: Integrating Analog and Discrete Representations.Jonathan Michael Vitale, John B. Black, Eric O. Carson & Chun-Hao Chang - 2010 - In S. Ohlsson & R. Catrambone (eds.), Proceedings of the 32nd Annual Conference of the Cognitive Science Society. Cognitive Science Society.
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  • Space and the Language‐Cognition Interface.Anna Papafragou - unknown
    According to classical theories of language and cognition, human cognition is characterized by strong universal commonalities built around notions such as object, space, agency, number, time, and event (Clark, 1973; Miller & Johnson‐Laird, 1976). Languages select from this prelinguistic conceptual repertoire the concepts that become encoded in their lexical and grammatical stock. Language acquisition, on this view, is a mapping process in which the learner needs to figure out which sounds in the language spoken in the environment correspond to which (...)
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  • Comparative Psychology: A Perspective Rather Than a Discipline. Commentary: A Crisis in Comparative Psychology: Where Have All the Undergraduates Gone?Cinzia Chiandetti & Walter Gerbino - 2015 - Frontiers in Psychology 6.
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  • Biopsychologiczne podstawy poznania geometrycznego.Mateusz Hohol - 2018 - Philosophical Problems in Science 64:137-165.
    In this review-paper, I focus on biopsychological foundations of geometric cognition. Starting from the Kant’s views on mathematics, I attempt to show that contemporary cognitive scientists, alike the famous philosopher, recognize mutual relationships of visuospatial processing and geometric cognition. What I defend is a claim that Tinbergen’s explanatory questions are the most fruitful tool for explaining our “hardwired,” and thus shared with other animals, Euclidean intuitions, which manifest themselves in spatial navigation and shape recognition. I claim, however, that these “hardwired (...)
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  • Expectancy Violations Promote Learning in Young Children.Aimee E. Stahl & Lisa Feigenson - 2017 - Cognition 163:1-14.
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  • Embodied Spatial Cognition.J. Gregory Trafton & Anthony M. Harrison - 2011 - Topics in Cognitive Science 3 (4):686-706.
    We present a spatial system called Specialized Egocentrically Coordinated Spaces embedded in an embodied cognitive architecture (ACT-R Embodied). We show how the spatial system works by modeling two different developmental findings: gaze-following and Level 1 perspective taking. The gaze-following model is based on an experiment by Corkum and Moore (1998), whereas the Level 1 visual perspective-taking model is based on an experiment by Moll and Tomasello (2006). The models run on an embodied robotic system.
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  • Where the Sidewalk Ends: The Limits of Social Constructionism.David Peterson - 2012 - Journal for the Theory of Social Behaviour 42 (4):465-484.
    The sociology of knowledge is a heterogeneous set of theories which generally focuses on the social origins of meaning. Strong arguments, epitomized by Durkheim's late work, have hypothesized that the very concepts our minds use to structure experience are constructed through social processes. This view has come under attack from theorists influenced by recent work in developmental psychology that has demonstrated some awareness of these categories in pre-socialized infants. However, further studies have shown that the innate abilities infants display differ (...)
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  • CogSketch: Sketch Understanding for Cognitive Science Research and for Education.Kenneth Forbus, Jeffrey Usher, Andrew Lovett, Kate Lockwood & Jon Wetzel - 2011 - Topics in Cognitive Science 3 (4):648-666.
    Sketching is a powerful means of working out and communicating ideas. Sketch understanding involves a combination of visual, spatial, and conceptual knowledge and reasoning, which makes it both challenging to model and potentially illuminating for cognitive science. This paper describes CogSketch, an ongoing effort of the NSF-funded Spatial Intelligence and Learning Center, which is being developed both as a research instrument for cognitive science and as a platform for sketch-based educational software. We describe the idea of open-domain sketch understanding, the (...)
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  • Extending SME to Handle Large‐Scale Cognitive Modeling.Kenneth D. Forbus, Ronald W. Ferguson, Andrew Lovett & Dedre Gentner - 2017 - Cognitive Science 41 (5):1152-1201.
    Analogy and similarity are central phenomena in human cognition, involved in processes ranging from visual perception to conceptual change. To capture this centrality requires that a model of comparison must be able to integrate with other processes and handle the size and complexity of the representations required by the tasks being modeled. This paper describes extensions to Structure-Mapping Engine since its inception in 1986 that have increased its scope of operation. We first review the basic SME algorithm, describe psychological evidence (...)
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  • Representation and Computation in Cognitive Models.Kenneth D. Forbus, Chen Liang & Irina Rabkina - 2017 - Topics in Cognitive Science 9 (3):694-718.
    One of the central issues in cognitive science is the nature of human representations. We argue that symbolic representations are essential for capturing human cognitive capabilities. We start by examining some common misconceptions found in discussions of representations and models. Next we examine evidence that symbolic representations are essential for capturing human cognitive capabilities, drawing on the analogy literature. Then we examine fundamental limitations of feature vectors and other distributed representations that, despite their recent successes on various practical problems, suggest (...)
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  • Whorf Versus Socrates, Round 10.Nora S. Newcombe & David H. Uttal - 2006 - Trends in Cognitive Sciences 10 (9):394-396.
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  • The Doors of Perception and the Artist Within.Catherine Wilson - 2015 - Aristotelian Society Supplementary Volume 89 (1):1-20.
    This paper discusses the significance for the philosophy of perception and aesthetics of certain productions of the ‘offline brain’. These are experienced in hypnagogic and other trance states, and in disease- or drug-induced hallucination. They bear a similarity to other visual patterns in nature, and reappear in human artistry, especially of the craft type. The reasons behind these resonances are explored, along with the question why we are disposed to find geometrical complexity and ‘supercolouration’ beautiful. The paper concludes with a (...)
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  • Violations of Core Knowledge Shape Early Learning.Aimee E. Stahl & Lisa Feigenson - 2019 - Topics in Cognitive Science 11 (1):136-153.
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  • Cultural Commonalities and Differences in Spatial Problem-Solving: A Computational Analysis.Andrew Lovett & Kenneth Forbus - 2011 - Cognition 121 (2):281-287.
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  • Right Out of the Box: How to Situate Metaphysics of Science in Relation to Other Metaphysical Approaches.Alexandre Guay & Thomas Pradeu - forthcoming - Synthese:1-20.
    Several advocates of the lively field of “metaphysics of science” have recently argued that a naturalistic metaphysics should be based solely on current science, and that it should replace more traditional, intuition-based, forms of metaphysics. The aim of the present paper is to assess that claim by examining the relations between metaphysics of science and general metaphysics. We show that the current metaphysical battlefield is richer and more complex than a simple dichotomy between “metaphysics of science” and “traditional metaphysics”, and (...)
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