Sentence:  Clearly, in this example, the sensitivity to the <WSD>cardinalities</WSD> takes the weaker form F[M(A)] = \overset{=}{A} of a single-valued function from the measure to the <WSD>cardinality</WSD> rather than the stronger form M(A) = f(\overset{=}{A}) of a function from the <WSD>cardinality</WSD> to the measure. 
Meaning of the word marked with <WSD> tags:  The number of elements a given set contains.