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E-raamat: Morphisms and Categories: Comparing and Transforming

  • Formaat: 252 pages
  • Ilmumisaeg: 13-May-2013
  • Kirjastus: Psychology Press Ltd
  • Keel: eng
  • ISBN-13: 9781134743339
  • Formaat - EPUB+DRM
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  • Formaat: 252 pages
  • Ilmumisaeg: 13-May-2013
  • Kirjastus: Psychology Press Ltd
  • Keel: eng
  • ISBN-13: 9781134743339

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Despite dissent in many quarters, Piaget's epistemology and the developmental psychology derived from it remain the most powerful theories in either field. From the beginning, Piaget's fundamental epistemological notion was that all knowledge is rooted in action, and for a long time, he identified action with transformation. What is known is that which remains constant under transformatory action. This book represents a fundamental reformulation of that point of view. Alongside transformatory schemes, Piaget now presents evidence that nontransformatory actions -- comparisons that create morphisms and categories among diverse situations constitute a necessary and complementary instrument of knowledge. This work aims to elucidate that insight experimentally and theoretically and to understand the developmental interaction of comparing and transforming as knowledge is constructed.

This first English translation of Piaget's work includes studies of children's understanding of geometric forms, machines, and abstract concepts. It contains a clear statement of his mature position on continuity with biology as well as with the history of ideas.

Arvustused

"...develops a novel interpretation of the construction of knowledge. It is a collaborative and interdisciplinary study, including contributions from three mathematicians with an expertise in category theory". British Journal of Developmental Psychology

"... offers a rich description of one of the most interesting attempts to use a very sophisticated form of the continuity hypothesis as a guide to experimentation."

About the Translation vii
Terrance Brown
Preface ix
Seymour Papert
Introduction xvii
Chapter 1 Rotations and Circumductions
1(14)
C.L. Monnier
J. Vauclair
Chapter 2 The Composition of Two Cyclic Successions
15(16)
D. Voelin-Liambey
I. Berthoud-Papandropoulou
Chapter 3 The Rotation of Cubes
31(12)
A. Moreau
Chapter 4 Compositions and Conservations of Lengths
43(16)
E. Fluckiger
M. Fluckiger
Chapter 5 The Composition of Differences
59(18)
E. Marti
E. Mayer
Chapter 6 The Sections of a Parallelepiped and a Cube
77(14)
H. Kilcher
J. P. Bronckart
Chapter 7 Correspondences of Kinships
91(20)
C. Bruhlhart
E. Marbach
Chapter 8 A Special Case of Inferential Symmetry: Reading a Road Map Upside Down
111(12)
A. Karmiloff-Smith
Chapter 9 Conflicts Among Symmetries
123(14)
A. Karmiloff-Smith
Chapter 10 Correspondences and Causality
137(16)
C.L. Voelin
E. Rappe-du-Cher
Chapter 11 Equilibrium of Moments in a System of Coaxial Disks
153(14)
F. Kubli
Chapter 12 Comparison of Two Machines and Their Regulators
167(16)
A. Blanchet
E. Valladao-Ackermann
Chapter 13 Morphisms and Transformations in the Construction of Invariants
183(24)
Gil Henriques
Chapter 14 The Theory of Categories and Genetic Epistemology
207(8)
Edgar Ascher
Chapter 15 General Conclusions
215(12)
Author Index 227(2)
Subject Index 229
Edited by Terrance Brown, Authors Jean Piaget; Gil Henriques; Edgar Ascher