Epistemology and Psychology of Functions

  • Authors
  • Jean Piaget
  • Jean-Blaise Grize
  • Alina Szeminska
  • Vinh Bang

Part of the Studies in Genetic Epistemology book series (SYLI, volume 83)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. From Constitutive Functions to Constituted Functions

    1. Front Matter
      Pages 1-1
    2. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 3-14
    3. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 15-29
    4. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 30-48
    5. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 49-64
    6. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 65-75
    7. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 76-83
    8. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 84-97
  3. The Quantification of Constituted Functions

    1. Front Matter
      Pages 99-102
    2. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 109-113
    3. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 114-120
    4. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 132-137
  4. Theoretical Problems

    1. Front Matter
      Pages 139-139
    2. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 141-166
    3. Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 167-196
  5. Back Matter
    Pages 197-214

About this book

Introduction

Years ago, prompted by Grize, Apostel and Papert, we undertook the study of functions, but until now we did not properly understand the relations between functions and operations, and their increasing interactions at the level of 'constituted functions'. By contrast, certain recent studies on 'constitutive functions', or preoperatory functional schemes, have convinced us of the existence of a sort of logic of functions (springing from the schemes of actions) which is prior to the logic of operations (drawn from the general and reversible coordinations between actions). This preoperatory 'logic' accounts for the very general, and until now unexplained, primacy of order relations between 4 and 7 years of age, which is natural since functions are ordered dependences and result from oriented 'applications'. And while this 'logic' ends up in a positive manner in formalizable structures, it has gaps or limitations. Psychologically, we are interested in understanding the system­ atic errors due to this primacy of order, such ·as the undifferentiation of 'longer' and 'farther', or the non-conservations caused by ordinal estimations (of levels, etc. ), as opposed to extensive or metric evaluations. In a sense which is psychologically very real, this preoperatory logic of constitutive functions represents only the first half of operatory logic, if this can be said, and it is reversibility which allows the construction of the other half by completing the initial one-way structures.

Keywords

epistemology

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-9321-7
  • Copyright Information Springer Science+Business Media B.V. 1977
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-277-1242-4
  • Online ISBN 978-94-010-9321-7
  • About this book