If Jim M is reading this, I didn't get it right when I answered his question. Sorry Jim.
U/n, when U = 1 and n = any number or fraction except 0. This definition gives us the + & - counting numbers and fractions (a.k.a. valency scale).
U/n, when U = any number except zero and n = 0. The outcomes here are indefinite*. This gives us the ordinal or structuring scale (the quotients are place-holders, not numbers).
*Unless 0/0 = 1. Consider: n/n = 1, and if 0 is a number then 0/0 = 1.
U/n, where U = x and n = 1. This gives us the cardinal or measuring scale. For any value of x the quotient is 1. Values of x are dependent upon what is being measured and choice of measuring unit determines choice of x (e.g. one yard, one metre, etc.)
2006-07-08
20:10:29
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14 answers
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asked by
brucebirdfield
4
in
Science & Mathematics
➔ Mathematics