>>Do please post the above to
>>the sci.math newsgroup.
>>Listen to what other people have to say

>Who! And why?
>I'm quite happy listening to what
>you have to say Mr. Bogomolny.

I've nothing to add. We seem to use different definitions of what a ratio or a rational number is. I believe mine is the one commonly used in mathematics. On the sci.math group that is visited by many people from all walks of life, there may be different views - some even closer to yours. Why not to try?