In a message dated 4/28/2010 2:02:53, ritchierd@xxxxxxxxxxxxx writes: I decided I wanted to know how many grades of listed building there actually are. The answer is "two...sort of." There's grade one and grade two. ---- Isn't this going TOO strong by the Establishment? Why can't I speak of Grade 3, Grade 4, etc. "a Grade I listed building" "a Grade II listed building" ------ "a Grade III listed building" "a Grade IV listed building" "a Grade V listed building" "a Grade VI listed building" "a Grade VII listed building" "a Grade VIII listed building" "a Grade IX listed building" "a Grade X listed building" "a Grade XI listed building" "a Grade XII listed building" ------ How did I get that? The answer is simple. I apply Giuseppe Peano's recursive loop. He defines an expression (I just used "Grade N listed building") for any N which stands for the variables. In fact, "Grade I" and "Grade II" are now seen as concrete instantiations of "Grade N" listed building. We provide by mathematical induction: With N = 1 we get: "a Grade I listed bulding" We apply Peano's first axiom and we get, simply enough: "a Grade II listed building". While most civil servants stop at that, I'm not (one), so I proceed, naturally enough, using Peano's generation of natural-language sequences. The possibility of having "Grade N listed buildings" is the dream of the urban architect. --- Ritchie may wonder, "And where are those buildings listed?" -- but that's neither here nor there. Donal McEvoy may object that this creates a "Meinongian jungle" -- but this is NOT a philosophical objection. J. L. Speranza