Knowledge and Development: Volume 1 Advances in Research and by Jean Piaget (auth.), Willis F. Overton, Jeanette McCarthy

By Jean Piaget (auth.), Willis F. Overton, Jeanette McCarthy Gallagher (eds.)

From a casual workforce of a dozen college and graduate scholars at Temple collage, the Jean Piaget Society grew in seven years to 500 individuals who've pursuits within the software of genetic epistemology to their very own disciplines and professions. on the outset Piaget counseled the idea that of a society which bore his identify and offered an incredible tackle on equilibration on the society's first symposium in may perhaps, 1971. Had he now not performed so the society could without doubt have remained a small parochial staff, like such a lot of others through the nation, drawn to Piaget and his idea. With the encouragement of Genevans and the management of its first 4 presidents, Lois Macomber, Barbara Press­ eisen, Marilyn Appel, and John Mickelson, the society undertook a couple of courses to gather and disseminate the result of scholarly paintings in genetic epistemology. specific emphasis used to be positioned upon functions of Piaget's thought to developmental psychology, philos­ ophy, and schooling. this type of courses used to be the ebook of an annual sequence at the improvement of realizing, of which this quantity is the 1st. In 1973, the society requested Hans Furth with the help of Willis Overton and Jeanette Gallagher to start up and plan a sequence of yearbooks with the outcome that during addition to this quantity, a moment quantity on schooling was once commissioned, and a 3rd one at the decalage factor used to be planned.

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The fall of a dead leaf, for example, is impossible to express as an equation, and the genius of Galileo, more than 20 centuries after the beginning of deductive mathematics, consisted in sufficiently dissociating the factors to make the time duration an independent variable and attain a "simple" movement. Barbel Inhelder has performed a series of experiments on the discovery of elementary physical laws by the child. We have published the results, together attempting to analyze them from the viewpoint of the logical operations involved in such experiments.

These two characteristics are conceived by the Gestaltists as integral, and this is why, when Wertheimer attempted to explain the operatory structures of mathematical forms or logical forms (the syllogism for example), he tried to reduce them to Gestalten. Now, if we compare this Gestalt structure to an operatory structure such as the whole-number series, we see that the latter has the first but not the second characteristic. , which mathematicians have described and which have a deep psychological meaning.

For this reason alone it is impossible to draw from perceptual structures the opera tory or conceptual structures. The reason is that the former, being nonadditive, are irreversible and of a probabilistic nature, like all figurative functions. An operatory structure, however, like that of the whole number, derives from a certain form of action (here the action of gathering together) that has become reversible (gather together and break up ~ add and subtract) and consequently susceptible to precise or necessary deduction, in contrast to irreversible and probabilistic structures.

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