In the world of naive mathematics, we start with the view that a formula is a text to be transformed.
Symbols are strings of characters, mathematical expressions are concatenations of symbols.
Recognizing a pattern in a phrase, applying to it a set of rules to make it fit another pattern, we call that print transposition a calculation. To the hierarchy of mathematical structures should correspond lines of ascendancy among programming objects. It will emphasize how easy it has become to execute extensive symbolic calculations through SAP on a portable computer, the equivalent today of the back of an envelope.