Your definition of f is circular: to calculate f(r) we need to know p(r), which in turn depends on f(r). Cantor's diagonal argument shows that any mapping from the natural numbers to the real numbers must necessarily…
Your definition of f is circular: to calculate f(r) we need to know p(r), which in turn depends on f(r). Cantor's diagonal argument shows that any mapping from the natural numbers to the real numbers must necessarily…