Functional Paradox

paradox ~ mixing a level with its meta-level

There is no mixing-level problem for the equation

f(x) = x,

because it just means that two variables have the same value. In other words, the value of a function of x is equal to the value of x.

However, for the equation

f = x,

there is a mixing-level problem, resulting no meanings; because

the equation means that a function (aka a formula of a number) is equal to a variable (aka a number).

A formula of a number is a structure. It cannot be a number.

— Me@2013-07-16 10:45 AM

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