Knowing reality means constructing systems of transformations that correspond, more or less adequately, to reality. They are more or less isomorphic to transformations of reality. The transformational structures of which knowledge consists are not copies of the transformations in reality; they are simply possible isomorphic models among which experience can enable us to choose. Knowledge, then, is a system of transformations that become progressively adequate.
-- Jean Piaget (1896 - 1980), Swiss developmental psychologist, famous for his work with children and his theory of cognitive development, Genetic Epistemology (1968) -- First lecture
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