Full Idea
Plural quantification seems to offer ontological economy. We can pay the price of a mere first-order theory and then use plural quantification to get for free the corresponding monadic second-order theory, which would be an ontological bargain.
Gist of Idea
Plural quantification may allow a monadic second-order theory with first-order ontology
Source
Øystein Linnebo (Plural Quantification [2008], 4.4)
Book Reference
'Stanford Online Encyclopaedia of Philosophy', ed/tr. Stanford University [plato.stanford.edu], p.14
A Reaction
[He mentions Hellman's modal structuralism in mathematics]