Full Idea
We group under the heading 'limitation of size' those principles which classify properties as collectivizing or not according to how many objects there are with the property.
Gist of Idea
The 'limitation of size' principles say whether properties collectivise depends on the number of objects
Source
Michael Potter (Set Theory and Its Philosophy [2004], 13.5)
Book Reference
Potter,Michael: 'Set Theory and Its Philosophy' [OUP 2004], p.227
A Reaction
The idea was floated by Cantor, toyed with by Russell (1906), and advocated by von Neumann. The thought is simply that paradoxes start to appear when sets become enormous.