[52] In his 1970 essay, titled simply Piaget's theory, Piaget says that reflecting abstraction is the general constructive process of mathematics: it has served, for example, to construct algebra out of arithmetic, as a set of operations on operations [ note 13 ].52] In his 1970 essay, titled simply Piaget's theory, Piaget says that reflecting abstraction is the general constructive process of mathematics: it has served, for example, to construct algebra out of arithmetic, as a set of operations on operations [ note 13 ].
symbolism. n. 1. the representation of something in symbolic form or the attribution of symbolic meaning or character to something. 2. a system of symbols or symbolic representation. 3. a symbolic significance or quality.
Symbolism is a form of communication, by the systematic or creative use of arbitrary symbols as abstracted representations of concepts or objects and the distinct relationships in between, as they define both context and the narrower definition of terms.he term symbolism is often limited to use in contrast to  representationalism ; defining the general directions of a linear spectrum wherin all symbolic concepts can be viewed in relation, and where changes in context may imply systemic changes to individual and collective definitions of symbols.