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"It has long been an axiom of mine that the little things are infinitely the most important" 

Just a note
For a truly continuous variable, this problem is wholly academic because, with an infinite number of possible values to choose from, the chance of two observations being identical approaches zero.
For real data, because of rounding, this may be an unreasonable assumption. Unfortunately in certain situations, such as small samples (and statistical tests), the distinction is important  at least, to academicians  if no one else.
