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Titlebook: Epistemology and Psychology of Functions; Jean Piaget,Jean-Blaise Grize,Vinh Bang Book 1977 D. Reidel Publishing Company, Dordrecht, Holla

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发表于 2025-3-21 19:42:06 | 显示全部楼层 |阅读模式
书目名称Epistemology and Psychology of Functions
编辑Jean Piaget,Jean-Blaise Grize,Vinh Bang
视频video
丛书名称Synthese Library
图书封面Titlebook: Epistemology and Psychology of Functions;  Jean Piaget,Jean-Blaise Grize,Vinh Bang Book 1977 D. Reidel Publishing Company, Dordrecht, Holla
描述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 eval
出版日期Book 1977
关键词epistemology
版次1
doihttps://doi.org/10.1007/978-94-010-9321-7
isbn_softcover978-90-277-1242-4
isbn_ebook978-94-010-9321-7Series ISSN 0166-6991 Series E-ISSN 2542-8292
issn_series 0166-6991
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1977
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The Coordination of Pairs also contained in Hoeffding’s comparison (in .) of the workings of thought to the successive positions of a compass, where one of the legs, although placed on a given point, provides no information until the other leg is placed on a second point or on another object.
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From Constitutive Functions to Equivalence Classesther by ‘usage’ as evidenced by the use (in all languages) of the words ‘it’s for’: a mountain ‘is for climbing’, a snail ‘is for crushing’, etc. It would therefore seem clear that prior to operatory classifications based on additive class inclusions in extensions and on objective equivalences of di
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From Coproperties to Covariations: The Equalization and Estimation of Inequalitiesldren and it is this aspect which we intend to study. Let . be the number of transfers of . elements (. = 1,2, 3, etc.) and . be the difference between the two collections. Then the difference to be determined is . = .(.)and in this case . = ..
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The Establishment of a Functional Relation Among Several Variables: Distance Travelled, Wheel Size athe first car ., and . that travelled by .); (2) reciprocal compensations such as when .>. and . > . and the subject is asked to find the relationships of rotational frequency between 1 and 2; and (3) the quantification of these relationships.
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The Inverse Proportional Relationship Between Weight , and Distance , (Arm of a Lever) in the Equilihow a child would know that a weight in equilibrium varies — without any modification in its intrinsic weight — as a function of the length of the arm of the lever. The functional relation is more natural but the comprehension of a physical causality becomes a pre-condition to the construction of th
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