Saturday, March 15, 2014
Piaget supports my thesis
See this prior post for reference. "Piaget, DeLanda and Deleuze" is a section in the article "On the structure of history" by Lars Marcussen. The following paragraph is from the section "Jean Piaget's epistemology and psychology" and of relevance to this thread, in that it feeds my notion that further evolution requires a return and fuller integration of earlier stage-states (aka the fold). Also that math and science are man-made inventions, not a priori essences or reflective of reality per se. And out of the mouth of Piaget, the founder of developmental psychology!
"Piaget’s final conclusion is that mathematics and science arise and evolve as structures encoded in the mind at unconscious levels are made the objects of conscious reflection. In this connection he observes that the most advanced mathematical and scientific ideas sometimes seem to pick up threads from the earliest stages in the child’s development. Or, since it is not a question of conscious ‘fishing’, or of memory in any ordinary sense, advanced ideas are sometimes born when rudimentary ideas pop up at an appropriate moment from the deep unconscious past as inspiration for renewed reflection. For instance, the space-time continuum of modern physics has structural characteristics in common with a stage in the psychogenetic process where the primordial continuum is only vaguely differentiated; and it is no accident that in the history of mathematics the group of continuous topological transformations, which comes first in the child’s development, was the last layer to be added to the architectures of geometries."