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  • Book
  • © 1977

Epistemology and Psychology of Functions

Authors:

  1. Jean Piaget
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  2. Jean-Blaise Grize
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  3. Alina Szeminska
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  4. Vinh Bang
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Part of the book series: Synthese Library (SYLI, volume 83)

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XIV
    PDF

  2. From Constitutive Functions to Constituted Functions

    1. Front Matter

      Pages 1-1
      PDF

    2. The Coordination of Pairs

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 3-14

    3. From Constitutive Functions to Equivalence Classes

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 15-29

    4. From Regularities to Proportionalities

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 30-48

    5. An Example of Causal and Spatial Functions

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 49-64

    6. From Coproperties to Covariations: The Equalization and Estimation of Inequalities

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 65-75

    7. The Composition of Differences: Unequal Partitions

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 76-83

    8. An Example of the Composition of the Variations of Variations

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 84-97

  3. The Quantification of Constituted Functions

    1. Front Matter

      Pages 99-102
      PDF

    3. Serial Regularities and Proportions

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 109-113

    4. The Relation Between the Size of a Wheel and the Distance Travelled

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 114-120

    7. Conclusion of Chapters 8 to 12: The General Evolution of Behaviors

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 132-137

  4. Theoretical Problems

    1. Front Matter

      Pages 139-139
      PDF

    2. Analyses to Aid in the Epistemological Study of the Notion of Function

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 141-166

    3. General Conclusions

      • Jean Piaget, Jean-Blaise Grize, Alina Szeminska, Vinh Bang
      Pages 167-196

  5. Back Matter

    Pages 197-214
    PDF
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About this book

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.
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Keywords

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Bibliographic Information

  • Book Title: Epistemology and Psychology of Functions

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

  • Series Title: Synthese Library

  • DOI: https://doi.org/10.1007/978-94-010-9321-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1977

  • Softcover ISBN: 978-90-277-1242-4Published: 31 March 1981

  • eBook ISBN: 978-94-010-9321-7Published: 06 December 2012

  • Series ISSN: 0166-6991

  • Series E-ISSN: 2542-8292

  • Edition Number: 1

  • Number of Pages: 219

  • Topics: Philosophy of Science, History of Economic Thought/Methodology

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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