No.
Rational numbers are those numbers that can be expressed as a ratio of two integers. 2.4, for example, is a rational number (it can be written as the ratio 12/5), but not a counting number.
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Counting numbers are a proper subset of whole numbers which are the same as integers which are a proper subset of rational numbers.
I would hope all elections use rational numbers: all Counting numbers are Rational numbers.
-3 is a real, rational, whole integer. But then, -- All integers are real rational whole numbers. -- All whole numbers are real rational integers. -- All rational numbers are real. -- All counting numbers are real, rational, whole integers.
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They are not. They are countably infinite. That is, there is a one-to-one mapping between the set of rational numbers and the set of counting numbers.