Full Idea
Henkin-style semantics seem to me more plausible for plural logic than for second-order logic.
Gist of Idea
Henkin semantics is more plausible for plural logic than for second-order logic
Source
Penelope Maddy (Second Philosophy [2007], III.8 n1)
Book Reference
Maddy,Penelope: 'Second Philosophy: naturalistic method' [OUP 2007], p.299
A Reaction
Henkin-style semantics are presented by Shapiro as the standard semantics for second-order logic.