| <p>The "number of" map exhibits a certain type of ''uniformity property'', whereby the value of the measure on a uniformly qualified population is in fact actualized by each member of the population.</p>
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| valign="top" | 1.
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| The "number of" map exhibits a certain type of ''uniformity property'', whereby the value of the measure on a uniformly qualified population is in fact actualized by each member of the population.
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| <p>The "number of" map satisfies an ''order morphism principle'', whereby the illative partial ordering of logical terms is reflected up to a partial extent by the arithmetical linear ordering of their measures.</p>
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| valign="top" | 2.
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| The "number of" map satisfies an ''order morphism principle'', whereby the illative partial ordering of logical terms is reflected up to a partial extent by the arithmetical linear ordering of their measures.