Swiss psychologist Jean Piaget once said the process of GENERALIZATION of something, say A, arises when we shift attention from the OBJECTS that A acts UPON, to the ACTION of A ITSELF. Thus, we don’t concentrate on the VALUE of 2 + 3 = 5, but the PROCESS of +. Comments?
Replying to @mathematicsprof
This, it seems to me, also marks the distinction between arithmetic and algebra. In arithmetic, the operations are means to the end of characterizing the objects to which they apply (i.e., numbers are known by how they behave.) In algebra, the operations are ends in themselves.
10:41 PM - 1 Sep 2019
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