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Right is a moral judgement, and when there is not universal agreement on
what a term means or how it is to be used it is not proper to make such a
judgement. Since we can not agree to a universal definition of the word
weight, then we will not be able to agree to a definition of the word heat.
From the point of view of instructing students we need to start where the
students are, and not where we would like them to be. This may mean using
words we consider imprecise as the noun heat or heat energy. As the
concepts develop they can be weaned from this usage to more precise terms.