In article <3395FF96.107E@ionaprep.pvt.k12.ny.us>, �Stephen! <99borns@ionaprep.pvt.k12.ny.us> wrote: > I like to think of mathematics as a means of expressing the >relationships between numbers. The angles of a square, the lengths of Not broad enough. There exist plenty of abstract mathematical entities with interesting formal properties that are nevertheless not numbers. > One is a totally arbitrary name. It may be called "Throbene" for all it >matters, it is merely a way of expressing the number. The names for the >numbers are a human invention, the numbers themselves are not. You are making a mere philosophical hypothesis here.