Last time we contemplated the penultimately simple algebraic expression as a name for a set of arithmetic expressions, namely,
taking the equality sign in the appropriate sense.
Then we asked the corresponding question about the operator The above selection of arithmetic expressions is what it means to contemplate the absence or presence of the arithmetic constant
in the place of the operand
in the algebraic expression
But what would it mean to contemplate the absence or presence of the operator
in the algebraic expression
Evidently, a variation between the absence and the presence of the operator in the algebraic expression
refers to a variation between the algebraic expression
and the algebraic expression
somewhat as pictured below.
But how shall we signify such variations in a coherent calculus?
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