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variation as a basis for applying concepts

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Vik

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Consider the concept of quantitative relationship. The concept of quantitative relationship was formed by leaving unspecified such aspects as shape, composition, etc.  Weight is invariant with respect to shape. Also two things can weigh exactly the same despite being composed of different materials. Is that sufficient grounds for concluding that the effect depends on a quantitative relationship?  If not, what is missing?

Consider the concept of action. The concept of action was formed by leaving unspecified the kind and degree/intensity of the action and the entities performing the action. The quantity of heat is invariant with respect to variation in composition (i.e. what is hot?).  Is that sufficient grounds for concluding that the effect depends on similar behaviour of dissimilar constituents?  If not, what is missing?

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