Full Idea
Since combinatorial collections are enumerated, some multiplicities may be too large to be gathered into combinatorial collections. But the size of a multiplicity seems quite irrelevant to whether it forms a logical connection.
Gist of Idea
Collections of things can't be too big, but collections by a rule seem unlimited in size
Source
Shaughan Lavine (Understanding the Infinite [1994], IV.2)
Book Reference
Lavine,Shaughan: 'Understanding the Infinite' [Harvard 1994], p.78
Related Idea
Idea 15919 The 'logical' notion of class has some kind of definition or rule to characterise the class [Lavine]