S.O.S. #4 The Rubbish Heap

   You seem to believe that it makes any difference what you call anything.  It does make a difference, but only to you and your associates.  You are not in charge here for example.  I'm sure you can sell all sorts of cheap calculators with your attitude. I have one that uses better forms of expression rather easily.   It has been thoroughly explained to you that the decimal representation of 1/7 is an ongoing process, and how that is different from a quantity.  I have allowed you your right to arbitrarily define it however your work group finds it convenient.  You do need to go, not I.  My terminology "limit" is recognized by enough professionals that we can be fine without your contributions.

   You asked what the difference between 1 and an infinite string of 9s after a decimal point is and I explained it.  Another way to explain it is 1/∞.  However that is algebraic manipulation of something which is not a quantity, which is not allowed.  Infinity is not a quantity.  Is Infinity or 3 times infinity larger?  There is no good answer.  If infinity or infinity minus a million larger?  There is no good answer.  Why is that?  That is because infinity is not a quantity, it is a continuing process, "3" and a "million" are fixed quantities.

   A topic for recreational speculation is whether there can be manipulation of processes where no fixed quantities are involved such as is infinity minus infinity zero?  Play with that all day if you wish.