This discussion paper tries to consider the whole process of investigating algorithms. The idea is to make as explicit as possible all aspects and their interrelation. After an elaboration of viewpoints a list of discussion points follows.
We investigate under which conditions a rectangular table can be placed with all four feet on a ground described by a function R → R. We start by considering highly idealized tables that are just simple rectangles. We prove that given any rectangle, any continuous ground and any point on the ground, the rectangle can be positioned such that all its vertices… (More)