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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Classes have cardinalities, so their members must all be treated as units [Armstrong]
     Full Idea: Classes, because they have a particular cardinality, are essentially a certain number of ones, things that, within the particular class, are each taken as a unit.
     From: David M. Armstrong (Truth and Truthmakers [2004], 09.1)
     A reaction: [Singletons are exceptions] So units are basic to set theory, which is the foundations of technical analytic philosophy (as well as, for many, of mathematics). If you can't treat something as a unit, it won't go into set theory. Vagueness...