MATH.21:6 - Bias-Annotation
Numerical examples can make convergence look like increasing decimal accuracy. The prefix case exposes another form: agreement on finitely many observations of an infinite object. Function examples show that even numerical convergence has different strengths according to the subsequent operation.
The examples use ordinary classical mathematics. An effective or constructive account must retain the obtaining information its logic and representation require. A user of a known complete space can apply its theorems directly; a constructor of a new space must establish the relevant properties of that construction.