 A entirely different application of plural logic to set theory seeks to use plurals to explain sets. Kurt Gödel famously wrote of the operation “set of”, which can be applied to any “well-defined objects” to form their set and whose iterated application yields the cumulative hierarchy of sets (1964: 180). A key question is how to understand the notion of some “well-defined objects”. Suppose we accept that any objects \(xx\) qualify as such. Then any objects \(xx\) give rise to a set \(\{xx\}\). Since the cumulative hierarchy contains no universal set, it follows that there cannot be a universal plurality comprising absolutely all objects. Florio and Linnebo 2020 and 2021, ch. 12 develop a critical plural logic that is suited for being combined with such an unrestricted “set of” operation. Thus, this approach forsakes the power of this logic to talk about arbitrary collections of sets and instead uses plurals to account for the nature of, and our knowledge of, sets. 