Geometry as a Universal Mental Construction

نویسندگان

  • Véronique Izard
  • Pierre Pica
  • Stanislas Dehaene
  • Danielle Hinchey
  • Elizabeth Spelke
چکیده

Space, Time and Number in the Brain. DOI: © Elsevier Inc. All rights reserved. 2011 10.1016/B978-0-12-385948-8.00019-0 Geometry as a Universal Mental Construction Véronique Izard*†, Pierre Pica‡, Stanislas Dehaene§¶**††, Danielle Hinchey***, Elizabeth Spelke*** *Laboratoire Psychologie de la Perception, Université Paris Descartes, Paris, France; †CNRS UMR 8158, Paris, France; ‡UMR 7023 “Formal Structure of Language”, CNRS and Université Paris 8, Paris, France; §INSERM, Cognitive Neuroimaging Unit, Gif-sur-Yvette, France; ¶CEA, I2BM, NeuroSpin, Gif-sur-Yvette, France; **Université Paris-Sud, Orsay, France; ††Collège de France, Paris, France;***Department of Psychology, Harvard University, Cambridge, USA 19

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Reflections on APOS theory in Elementary and Advanced Mathematical Thinking

What are the processes by which we construct mathematical concepts? What is the nature of the cognitive entities constructed in this process? Based on the theories of cognitive construction developed by Piaget for younger children, Dubinsky proposed APOS theory to describe how act ions become interiorized into processes and then encapsulated as mental objects, which take their place in more sop...

متن کامل

A construction of the Deligne–Mumford orbifold

The Deligne–Mumford moduli space is the space M̄g,n of isomorphism classes of stable nodal Riemann surfaces of arithmetic genus g with n marked points. A marked nodal Riemann surface is stable if and only if its isomorphism group is finite. We introduce the notion of a universal unfolding of a marked nodal Riemann surface and show that it exists if and only if the surface is stable. A natural co...

متن کامل

The Parabola in Universal Hyperbolic Geometry I

We introduce a novel definition of a parabola into the framework of universal hyperbolic geometry, show many analogs with the Euclidean theory, and also some remarkable new features. The main technique is to establish parabolic standard coordinates in which the parabola has the form xz = y2. Highlights include the discovery of the twin parabola and the connection with sydpoints, many unexpected...

متن کامل

The Global Geometry of Stochastic Lœwner Evolutions

In this article we develop a concise description of the global geometry which is underlying the universal construction of all possible generalised Stochastic Lœwner Evolutions. The main ingredient is the Universal Grassmannian of Sato-Segal-Wilson. We illustrate the situation in the case of univalent functions defined on the unit disc and the classical Schramm-Lœwner stochastic differential equ...

متن کامل

Uncountable graphs and invariant measures on the set of universal countable graphs

We give new examples and describe the complete lists of all measures on the set of countable homogeneous universal graphs and Ksfree homogeneous universal graphs (for s ≥ 3) that are invariant with respect to the group of all permutations of the vertices. Such measures can be regarded as random graphs (respectively, random Ks-free graphs). The well-known example of Erdös–Rényi (ER) of the rando...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011